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# System prepended metadata

title: Đề cương ôn thi giữa kì 1 môn Toán 10 chi tiết

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<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Thi giữa k&igrave; 1 l&agrave; b&agrave;i kiểm tra kiến thức quan trọng trong qu&aacute; tr&igrave;nh học tập, ảnh hưởng đến điểm số tổng kết cũng như kết quả cả năm học của c&aacute;c em. Để đạt kết quả tốt nhất, c&aacute;c em cần &ocirc;n thi giữa k&igrave; đ&uacute;ng trọng t&acirc;m b&agrave;i học. Ch&iacute;nh v&igrave; vậy, </span><a href="https://vuihoc.vn/" style="text-decoration: none;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #1155cc; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: underline; -webkit-text-decoration-skip: none; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">VUIHOC </span></a><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">đ&atilde; tổng hợp kiến thức &ocirc;n thi giữa k&igrave; 1 m&ocirc;n to&aacute;n 10 gi&uacute;p c&aacute;c em &ocirc;n thi dễ d&agrave;ng hơn.</span></p>
<h2 dir="ltr" style="line-height: 1.38; margin-top: 18pt; margin-bottom: 6pt;"><span style="font-size: 16pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">1. Tổng hợp kiến thức &ocirc;n thi giữa k&igrave; 1 m&ocirc;n to&aacute;n 10</span></h2>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial,sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">1.1 Mệnh đề</span></h3>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Mệnh đề l&agrave; những khẳng định c&oacute; t&iacute;nh đ&uacute;ng hoặc sai, kh&ocirc;ng c&oacute; mệnh đề vừa đ&uacute;ng vừa sai</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- K&iacute; hiệu: Mệnh đề đ&uacute;ng: </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 16px; height: 16px;"><img alt="\large A" height="16" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXexesF4bFyYDyD37FUN-AM4Yp79vf-gW7RVNS5yFjQUewq4wbbwcgTTYdpsCrd0cG0JfZ37PRWvoE4qztmB6e-vEo3pFOCxs-DxYmOvfAgm02af5OXvJEXehVud7l588DwjJAjn4qoCNlmQ1jCRkte5vgI?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="16" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> ; mệnh đề sai: </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 16px; height: 18px;"><img alt="\large \bar{A}" height="18" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfXyHDoguvyPKoUlLJYBYyj0QLqpqVd0zTgafxt7JmvlW6Whnj16KCskec2e1j6NiExH4dhz64UuQJLOU1jOEXO291FISObF2ec7hNzSMkNJ78AYzo3c0u7NKl12y9WiK12f3ZlQyuDKlsglGiiYMofqg0?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="16" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Mệnh đề k&eacute;o theo: </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 67px; height: 17px;"><img alt="\large A \Rightarrow B" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcJBCOX0VGtgph3RSwAb4jp_7xPThizuriNmlJXI3FQLXmb0CIH2TbP336cItbC0_fboyCUjbr0DSZrOsejWJQHXGXYDLxoo6A1uPI6UNfG5MxOxgkos0V4gOjtAyRGadrDXYPioKfZu_5pIpt0ho_WBifC?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="67" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> sai khi </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 16px; height: 16px;"><img alt="\large A" height="16" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdTccVCroTb-HZCLMPJ3W4fFeaDtr-NhxPFBwLYYCwWZcK4RcsvyMJ9j8qInrF2ORAl6CBNqZAQ3aM1Xk2uLq-ZaUuWocm9GYTzvVwtlMCaovRQ-A9nliNEOSAluQu9v-ExUjvC2374TwWyC4htwGyYTxi5?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="16" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> đ&uacute;ng </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 16px; height: 15px;"><img alt="\large B" height="15" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcKTWDt7mvmhvStRFbOZCbB_f3OW5L17phr2nEbAJ-aRC9ScLdQgKa2fDfZA2J2hbZp-iuurHQOD7ti4MQhYcotcXsOVfwco0ZYZZ4dIuyTH_iCvNBwthK8h0ctHNdDy-Iy8Egp4ZScvuVXueWZBFVHp4bv?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="16" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> sai, </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 67px; height: 17px;"><img alt="\large A \Rightarrow B" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfnJyKrbLw7t6_V2dx68Ab2Hhqc6uVZudvhTHwALaoCYkftxSCw4oz_8b98DUpYtArn5gjK7TcNtdBkNPl209t6CvtR63u1Mj55VagsGC3XFTuewFTREO_lA7J6ahtMRoLW6NK6qXmJoU-YJQ7p73Apbpi8?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="67" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> đ&uacute;ng th&igrave; </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 16px; height: 16px;"><img alt="\large A" height="16" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeZR11DjpNBr8WQL6sY-8dc2-4uPp7E1NnocSN30ky2zPnbyHPf6Sfosq571mHnoS2YQM3PpsDJ_xFRZAqVHgjhEktdnCFq3_-qF1XSwrChcEm_htfbK4AahapWkwZowIgxGL6UW5UxRhfhJYuKE7NNQRlM?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="16" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> l&agrave; điều kiện đủ để c&oacute; B v&agrave; B l&agrave; điều kiện cần để c&oacute; A&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Mệnh đề tương đương: </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 67px; height: 17px;"><img alt="\large A\Leftrightarrow B" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcOnzcLMYfCcHBSVTMIopHUnxtflJo18RfPqHknBLqCX8i2RyMhcrh-l7WKF8QFJw2CSy7EfKsbbAhyEkESHApBcW9am0aIpkppoSToKWSMGrYsHwisqr7wI-Pu_wuLpoZn3VLIBH_UHdhiKuaEt4IRYzNQ?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="67" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> đ&uacute;ng khi cả A, B đều đ&uacute;ng v&agrave; sai khi cả A, B đều sai</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Mệnh đề chứa biến p(x): L&agrave; mệnh đề li&ecirc;n quan đến đại lượng x khi x c&oacute; gi&aacute; trị nhất định, trong đ&oacute;:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">+ Mệnh đề với mọi: </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 127px; height: 23px;"><img alt="\large \forall x\in X : p(x)" height="23" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXft5nAnriJzpBuQFjrX4GD8OnvejJX0g8sydNWovcWvuta0LPcQYzM6F-5VCy4qyDdGbYW9n6SpEqVjTleo3kj64fe5Z30f3PKvKYjkxszNbASgAhrd0BPnxIETI9rj95I0sgl7G5t0qKHnUkBbQoWS2RRh?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="127" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">+ Mệnh đề tồn tại: </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 126px; height: 23px;"><img alt="\large \exists x \in X:p(x)" height="23" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdBGcJUVR1s4x9dqDSMMuNHLQCpm_rmRHEJo42JugqhndxQAHIO0TyWVUmqb_b0qzbbmcLqOSBDQzqNs5M_zVIeU2NCJXiaQIobO2umCTxRtf_uGzkYdKExR7tCr5wtko8D8vhA89f2NmZBy6tC86KcGnbZ?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="126" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Phương ph&aacute;p chứng minh bằng phản chứng: Chứng minh P đ&uacute;ng bằng giả định P sai rồi lập luận suy ra m&acirc;u thuẫn.&nbsp;</span></p>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial,sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">1.2 Tập hợp</span></h3>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Tập con: </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 276px; height: 21px;"><img alt="\large A\subset B \Leftrightarrow \forall x, x\in A \Rightarrow x\in B" height="21" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXctZx5nYTVH1R9yq7bM7U05AKVuDGru9gztpAT_fghRoaDXdxBbXt6Q0YPxLHFrCpTDjLxJpsDL0uUh3da38ejfJgMfGknM2uy1yzb41bOq3QVENg7kHEyhDZyFTJ6fGli3fUmOI1n_hD5QX9Z2d2cIfaw?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="276" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Hai tập hợp bằng nhau: A = B </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 91px; height: 17px;"><img alt="\large \Leftrightarrow A\subset B" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd69BqnsaNjlEJJJ12RaXlXz_obCP4fRg_ot23HW4gxaHo-F56IgbPMgjqzog8tPFXGQUCHN6jRNin79CGJE79T6dJAL_B0nHZneNs-cX2rzzawkUvVFs1Eku4cJlFrnRxPsBU6_KUS8DE9ThHzwO0vgYFD?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="91" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> v&agrave; </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 91px; height: 17px;"><img alt="\large \Leftrightarrow B\subset A" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfSjBjJLN4SI_IeG7HWlrvXkjWyGi8DcyYYVkeNXXQBF7kZsw3LUW24vVFawp9baU0asxjbrcdbT_8p5auBxu2zRzd1djof11ptx3SbTTwm0XwDK4fnSFZ12_tNMANOJn20VqwhgmfZr9g5dk5uFD6ziaU?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="91" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- C&aacute;c ph&eacute;p to&aacute;n tập hợp:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 590px; height: 407px;"><img height="407" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd8U-Qyc_7Nd31qLspreeAfWlpz8G1Mpg2l9ZnhOOxZqara8WMxnhRukAZM4mwUh7O5qmJ2z2X17hAz2IZb0vAdEXNrGEqoUmzFiwrNbNw66H-xr1C9YMTvRejJCHrhZSIO6eYK9xyJN3Ti81NMtInqQUg?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="590" /></span></span></p>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial,sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">1.3 C&aacute;c tập hợp số</span></h3>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial,sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 602px; height: 393px;"><img height="393" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf627lj6M0YUOCpiPFdg53vWsgatTtudpffp4vwLLxull7_Th6AGN_Jivwo7-DvG2uDe1UyXom2tIvZWP74Xqim-0wBoELGsaAER_l-C48ZCBO-3IIWuLyqtQ5q3K1v9tSjG_r0Qepv79BBfxNn0kvBfGyU?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="602" /></span></span></h3>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">1.4 Bất phương tr&igrave;nh bậc nhất hai ẩn</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Bất phương tr&igrave;nh bậc nhất hai ẩn x v&agrave; y c&oacute; c&aacute;c dạng như sau:&nbsp;</span></p>
<ul style="margin-top: 0; margin-bottom: 0; padding-inline-start: 48px;">
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">ax + by &gt; c</span></p>
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<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">ax + by &lt; c</span></p>
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">ax + by </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 12px; height: 15px;"><img alt="\geq" height="15" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdUuhLUUJ6szRimBdkN2-EE81AqhUtUW7ZiRkM05cq95FlVwLqBH_7jn1nkafil8FCnMGnyfKUT9RWckuXrii-YG9cFmyGLLtDAJVaqDXMMbUtAvf4Lo-2UgQGwbX5PO0MqoYhycauchpU4hq-WrupmB_Dc?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="12" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> c</span></p>
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">ax + by </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 12px; height: 15px;"><img alt="\leq" height="15" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeEtuYwwi5AmUmoLNm11lVUgjNQsDePOFvI8YNqmvse-BYKiA1OQkDB6UI_d57CC2a0W18oM-Cg09Sdj9rEgAxxiKF45ctYQAqbCbowrNkWtyTHo9l6LmxLM1tMIK_LZrlI3hDixCrEyp-rr5uNC9tJQRLr?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="12" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> c</span></p>
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</ul>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Trong đ&oacute;: x v&agrave; y l&agrave; hai ẩn của bất phương tr&igrave;nh, c&ograve;n a,b v&agrave; c l&agrave; c&aacute;c hệ sống kh&ocirc;ng đồng thời bằng 0.</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">=&gt; Nếu cặp số ( xo, yo) thỏa m&atilde;n bất phương tr&igrave;nh axo + byo &gt; c th&igrave; ( xo, yo) l&agrave; một nghiệm của bất phương tr&igrave;nh ax + by &gt; c.&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Miền nghiệm của bất phương tr&igrave;nh bậc nhất hai ẩn:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">+ Đường thẳng d = ax + by = c chia mặt phẳng tọa độ Oxy th&agrave;nh 2 mặt phẳng ch&iacute;nh l&agrave; 2 miền nghiệm của BPT ( kh&ocirc;ng kể bờ d).&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">+ Lấy một điểm A ( xo, yo) </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 10px; height: 19px;"><img alt="\notin" height="19" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXc5ajD6GQ3YK6rzDa4KRL8AIUDGlaAMBs8q_1uBFQg9urtEAA7At3piUxaNLs-IEOMkYo5l9-nJG-IefG9s5bDcKbdAHO8IkEniEqFtSBniBhOE1Is5wlmdDN_hx2Vt3bzzsDnCTicX_hTjVkAMHoR9R2w?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="10" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> d, Kiểm tra ( xo, yo) c&oacute; phải l&agrave; nghiệm của BPT hay kh&ocirc;ng v&agrave; đưa ra kết luận về miền nghiệm của BPT.&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Hệ phương tr&igrave;nh bậc nhất hai ẩn l&agrave; hệ gồm hai hay nhiều BPT bậc nhất 2 ẩn. Trong mặt phẳng tọa độ Oxy, tập hợp c&aacute;c điểm c&oacute; tọa độ thỏa m&atilde;n mọi BPT trong hệ bất phương tr&igrave;nh bậc nhất hai ẩn l&agrave; nghiệm của hệ BPT đ&oacute;.&nbsp;</span></p>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial,sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">1.5 Gi&aacute; trị lượng gi&aacute;c của g&oacute;c từ 0o - 180o</span></h3>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Nửa đường trong đơn vị l&agrave; nửa đường tr&ograve;n t&acirc;m O nằm ở ph&iacute;a tr&ecirc;n trục ho&agrave;nh của mặt phẳng tọa độ Oxy với b&aacute;n k&iacute;nh R = 1.&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 406px; height: 252px;"><img height="252" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeMo90Ol9d8U8tWMdPGzyrW6jBYi4Ro9vsaayy_JKy-C6BbJJ7RNVZD96aoI_zmEx1JXtlLppR0WOyJ7w2imjG3-cyt6fxUyMFjeZtcX02AQ4x8k93z1B8ev5z8nM2nueADmhYeeQHMUWT-16x9wcAkDrCe?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="406" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Với mỗi g&oacute;c </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 11px; height: 8px;"><img alt="\alpha" height="8" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfSZb2HjAVYwuwap0ZY-9-ADznTAd9ZLaahiW5GgJPkjtwXaSWtLvSnv8boTeWKR_xTGPFtlpj1crJzjhIRKdz1IlxkqpLp5z_KVXTnRlAjTp1_sDALmkDLF4Su6PgR7qv6mDx7nl14eo4zyGyHqhk4n-hD?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="11" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> thỏa m&atilde;n 0o </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 12px; height: 15px;"><img alt="\leq" height="15" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfUmLcZktPtHAEkRSXBQis1sNko2OHJh9l7SVk6hCaOCYrageRpm-dV7Nxhr9sTpqhutvyIqm1jq9cQk2xmEZYFBURoqvwRFYqRIJYCTejpDGLQbNhsgKZFqpzorg3WvjrzdFsbYzyrS9t8wvYAMiLIfaxu?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="12" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 30px; height: 15px;"><img alt="\alpha \leq" height="15" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcBdHeuy_gCQGvXdNPe76f7qJ64Xo3jM6Vrw8zp1jyg8BkvhWupZJof7Rgvb_HrV5faOfqt_1Tyk6MxVWrEQ97XFOuvttmQiIp3KFE0fIcNCxvqtVH1jeH_orDXQxxHV0J22AKJedPV5U8flw9A2y9G9FBe?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="30" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> 180o, ta x&aacute;c định được điểm M tr&ecirc;n nửa đường tr&ograve;n đơn vị sao cho g&oacute;c xOM = </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 11px; height: 8px;"><img alt="\alpha" height="8" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXc17gMv781aoLacjqZlq1XRJVQriQ2xKIT6je18ihM7zwEMhd2IH7UapDAo8ehhAnfkgtnU9HvETKHp6CTBKOW30q2j6BDNxVZhUuQSOzJPppoFD6y8dgIqmKIibzEoRls4TnyuLtm-MUPD5LEwFAT2BHPm?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="11" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">. Giả sử điểm M c&oacute; tọa độ ( xo, yo), khi đ&oacute; ta c&oacute;:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">sin</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfHNc4qoXqE0-FB1XE-NqS92GivWIzRGB1O7PCledt-oV0yUrYC6uKC7Gl5CkKVRosksSk7QZwjg7hDRs0wfO6UhfOX_TSo6NrjEYij_FeAT2Qctx8PoeZyIGQmvwXL1xe3nEXLHd4OOwHCeYeNDb4TtfU3?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> = yo</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">cos</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeOR0dlr5ThYoXB2RqijmUTbv15Xg3xTK6nWjGNvxpcVF7-4Mmwvzc1VYbHfUuYlRoJ0pg5HdBXmEYwaTUqBm3DYA1XhbMJFF0HxHO7RvpFYcsVpuzQEIj3Vvd3LePEfc_JQAvpK-5iwBlpYBOlAsI8I8Q?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> = xo</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 174px; height: 43px;"><img alt="\large tan\alpha = \frac{y_{o}}{x_{o}} (x_{o}\neq 0)" height="43" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXey3l0i_yqPhj98YUsTef3IraicQkHgUb_wzydXAWbToG1o4fyRilXkfvp01x8SiTqH7EbVxFjYiWWZABWhPvvwiY8Z5gIxcy04GzXpHvccsg-8BNL1SM3wLfef5GCCGTBBWQmacvFj5tWgDYNtJPA4Sdm5?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="174" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 168px; height: 45px;"><img alt="\large cot\alpha = \frac{x_{o}}{y_{o}} (y_{o}\neq 0)" height="45" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcH0wPJExPJaIaa-SKRXAdzvo8MYPtMj-ZqDPDYoYgrDxn6oSu9Ag9T81q8UUvQNP0dqGrWW0h0O81LfSBpxYLb4U-ATBwTXq2jTTWG9ne1tCG11x2b2iaP7gavMGojCnuNKqXdrYJJVeHxEaxfYt40__3U?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="168" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Nếu </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfroDm4FjkTeV69-bk9C6ZWVs3SKSPXwWJ5Ql6T47b7fTrvr9FlGr05emc-903zvnijcOxJKKkdlMJ0xocsnSbsPCzqdih-cCeSVOgC_qo9h7vmbeMbqpkKcUTPVVe4N9BmOh7RzDFtQpeWoWT0m1OdQKhk?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> l&agrave; g&oacute;c t&ugrave; th&igrave; sin</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcbAAVAPqkkjKCH9TkSgXvNugZlJXk4DEyW8TnrsEqKsWBA6Rf4d2X1CAvgtMoEixdxjuklRC3tlSR4kIQxg4CeV-OfJfmNCAI3lKP8Y15uBBzExUBoAhIqMERWNLkNt249bffH_fqbrF7PxKlFXWXMCP0?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> &gt; 0, cos</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd7tfpr5M1O7CO-UkKNLPZmP-6g4p2IzB3UIWSl1gaNj3JLeMvKztTvOGu7U9hp50RHQ6g1y8goyvgR6nmQTBR48J7agpW4s7pRSxwI_toVMzzyknQ_F78qI2gDFIXOzI6VYXwzPuWX6xcOEvS7IL23prE?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> &lt; 0, tan</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeonzZ8ayTE1L1067TIMIbWTCMwqyecnZxa87xf4NG27b2EpA6BeaOV79J9jRrvcNUZv8wwSNxh1rQBMoCdwK7apIGe357ITbPUVM6uErbHyC_Qu61OHRqp-3ZmW6fZSMPD2x5YynlxXwU3kXBq9EhuLRQ?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> &lt; 0, cot</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXe19jRbMbN0fuL83znZPJH2D1qBhys1Cd9nnaLbmmypkVJO3fif3DA0XZ9sGUQCDlFfkXpQyb75hQo1qPBS4nX6pDTny_lQbx5pOLZ7PqdsHtfrFDOl-iU87veE5cF22BeomEVIM_aQZRh6GxNo13bSrxcn?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> &lt; 0</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Nếu </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdWUkKN6GfvoGmC5BwP9v0YSBvVq7b4EQ8UCxgCskturhAd-Rh-oxcJPPj7zmOnm6kASVDjqT6483_RdiueAXRv3hwyt9SLVTrOS8EQMjQAcqBidcER9RMB5dYX50yvBZlh1yg0WHHoBGsQuAcCEP2N7-eq?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> l&agrave; g&oacute;c nhọn th&igrave; sin</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd0UMNxz62yuKyhFm3GIoqk6zI_85qDQc18X7c7OjsLvPBvk6SDb7UgocJ1lrqA6MU6mNbJhNIkjZYiCLClmERLkJSQ_KEnqpDuRMTHREJrA22067wNqftnc_IGsIIkWaFifinDxdcw9ooOauwtvMFxewg?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> &gt; 0, cos</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXetta7Pop2RVacctN5YZOPoTtruDaiQ7bMg366VnpZFuwgDuJA9BfOW2ynN4jG40gKELnLV3E7fnqLWAlDd4J5cpPG564KgOyJyeF2K2hZrahAGtPRZnepINFMGV-AhmII8Ad47HDvDv6U0Y-W5ZwfUQkNJ?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> &gt; 0, tan</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfYQT8lLBehPFZeCdJWE6krJ-3U9YAbZrZWFB89ZzkPJGlU2Vb39RXhTx6IncS4a5rOJiGTMiyILfBTTsWIe2ouG7ikTusvUbKlTVaAmAR19mEmzp7vaSDYBvWpa8i7NXVoACPwWQvUexz3_1OUs44chJMm?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> &gt; 0, cot</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcugJTH9kFF5PJxZseg4mEstHV1-oJMt-Qgoym-rpXQSTPC9SCleJAZr1nlXK0Yd3hUhoARIFajsDX6XV2wrnblxKufqEykHWtHxwWNu1mtDlmvoXw_G3YaI4ZuY0U8i_IknRPb86xzJBaSj_IR3T29GpvG?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> &gt; 0&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Gi&aacute; trị lượng gi&aacute;c của hai h&oacute;c phụ nhau:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">sin(90o - </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfDfXstItkwZpEsRf81EWeU36AhsX_KBjlRrVFDTcQS8jOLb9JC8Ey_oGiABiT1ePytmfkjiBwSqB8JnA2WnUaQQHN-w8_0kOSg3W54vF0O6MNpZOVz8CEiMdPiCHy6vlSkVH3zZwhIpVLGTArAYJTyxkSh?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">) = cos</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXe1I-KDklTAvYjuyucJkOnPCgxk_90FiLOH8AF2Shm6l8VqZsh7iJKAtNFWDCHvY4Aj1OavrABzvGKzXEpImhMryvD_0Mv4b4R3TCMa_-FlCUmJTF8qamxUREjvC1V3t6wCtjjbuvi1GSsBsYXLQ8r9vxfW?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">cos(90o - </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcsSXvNE1Mvt0tu2xbr32yXCkD-9ehR7ej1U6kK07oEoLmMEu_t6UOs997MHidP5rX3DRaWpmeQx1Lakv8f6GInoyLL63OQSnuPMxG4ZhnZ9H1mNU-YIvAmwjeST6UOkUrGzoAQVrRO7H8TGtBm5k2cXaD2?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">) = sin</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdmi3mtJbz-LlgGLvq2ksSL0dvgwlFkvUAOg8lgeVMzi9aE1uDeqbNQmIvTCdiOku5AwKL-2AVyIzmERdJ7rQAGhm-r-KAhogdz_4HRXzaERbBAHnjNN0-j2r8YY2AVt_jzmC4EWeQAILOijJdl6DWK8ms?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">tan(90o - </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdoPQ6aWlDQU6n-9tqW2rxM6Ecar8SmdIqHNbL6yYrAmBjvSPUDF7SzslJj-2EJSTlRQtaAJO9EFiNAg5zNFwE3rBM205q2Au4tcEJQsYZmWCloBUVxOPEc0EO3_NE1NM6TQol9qVvCdH3FPoJoquW1BLqq?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">) = cot</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXe5LfRvaqW-HsjbQWFsQUulp3fYnazR3ihusTssH8afJM5dsQjiNjOQCpZ0U_e2zem24I67uAN7B6r3NI3WXsoX7J-2lh0aD2gh-ekRZeOqp8Pm42dRHuh-qOM0HrfQyy3gRgJZbtatk32ioNV4IUV8aA_w?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">cot(90o - </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf1R4cHUfDk7PqMrvwX1miGmZFq_yaQ6K7_tGJ7Pb9Vu7_8gQ45_iOBfwAJf83-bwKjj5xH15G78klA4uWXrMIhvfojtowUHXBLtnafgQoPts83jIL-9tNZfqOxlN-pm02CUUQcSXTG5R8Y0161PVVR_BOc?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">) = tan</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcQz-SpxS6ORqfZMnQtlJvk9tLtW0hoUj6WR-5Ncnt-tQleQ4MgFfeVsR12tHqFXoCXoMeMSCwWfKEFSXUECSmYYYrhny7octsbk45i6cpDT6ZAFbXDDmiF5FyOrVa2CWEHhJEa4UeV730Ds4Hkl4IbA2sq?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Gi&aacute; trị lượng gi&aacute;c của hai g&oacute;c b&ugrave; nhau:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">sin(180o - </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd_0iDuLV5hUQq8Ham-D_fGnJRZOaSHF2LwlvIDiTuP4wcnFgwB2EH5oEQKLNKLj8M_ueFZaxZbzr8bp7tXpFO_kIOfwZgmX-51tsRfdrKO47w3iKy0C-IuAsoZR-W8wNT7gGmpjwkwC01OI2SwnRnHokW7?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">) = cos</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeFZPX1RmLEtiiqfsZJA417a1_kijoN7RQifMhIfbOWNVXIib947MRo-0tBiu74nWLOnhn-cWohnae0WEHJcKUAuuGsrQ4QS9mLXhHf2XDkmHp87plhcQ2mZRThrHKmnAcIiG2zqzGR3jwm46cZf9k3amlw?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">cos(180o - </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdSm9MN2bskjY9KVP5dExbeu7XB_mJsiQ9Yn8EY5U1ZSJtVrMMxK9vKHx_fMEsrxziEv5mtKzzDID7bsRmsrLtLSJBvaMgapboygcY225c8Azq9R1x0-NbalkRukFre4Xl4ffWNaeV1KN4pRVRFoZTbWeA?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">) = -cos</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfFKFloP4eSbdWmiClwKW3qbPZjzphSt3bNDMhY_R-WhwIgv7rCEq-5X-ra9k4dR4xa3bCLCPGQn5ozNQl-rLrmVN_iezKDIX-zUukadZvjENgJGogef54TA3brIbsJuapd2G1_6xMSYbZHfad7hwSD2GU?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">tan(180o - </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfborbOu7W9E6luktbhkUZrLOWjNoAxSKielUrJMzSgPxKAyt8PmXuGwmdwvdNK4rmUFKcsqnVSmq9sVLqZwWVRxZY_P65Ztg1G8FO7KeZIYEvSz3C3BSuKOs5VxmhbVcBYJxi3x3dosbH2_DyZKbEBhBOR?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">) = -tan</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdFi1IEiwkEt1N11cJc9y4PLq7bmqk8d4PpjtNC6MhcZ1MpFiwOkEt6padfpwGEJLthqh2_uQM4JreWg9y1zXFfTGjmhrEKANnBzBSh1I51nDvWWWJfU6ITYT7c_1iejC02eKJq7os29WjQbqxEkTZWY6F5?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">cot(180o - </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdAztegYRVksX7tHf3Ss8dRieOjIOFim7FDrn05lJ82B9MBc-dORUHZuh9msDlkxkAJuNrLK5q9_2c_xPyZD_GvmhBeVS4CbLtGXyY4liUiycWpxx_NERh-0p3-MMSs_KDxGQMLLkoyPMmKezu_KN9dgMo?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">) = -cot</span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 13px; height: 10px;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfHy_PKHEOwaDY9nfr2znfMN3WV35_Q7mZKFdz_6Nl4mZ8tZ57VVwMOL0AoR_z8L0TzzmpEoos423-G0b6fDw2kPKBrl6xmQ-ZPckXa_R1NpC2PJovfr7z1h8MNlgY4Vz7l0cHoqs3z3sOqeHIkM5SeMFxi?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="13" /></span></span></p>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial,sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">1.5 Hệ thức lượng trong tam gi&aacute;c</span></h3>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">a. Định l&yacute; sin</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Một tam gi&aacute;c ABC c&oacute; BC = a, AC = b, AB = c, c&oacute; b&aacute;n k&iacute;nh đường tr&ograve;n ngoại tiếp tam gi&aacute;c bằng R.&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 306px; height: 45px;"><img alt="\large =&gt; \frac{a}{sin A}=\frac{b}{sinB}=\frac{c}{sinC}=2R" height="45" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdLfjTCaqv4t5xjFENovc6Q65IzXlQwgsTsfA08R0P7t4wKP9EowncEnO4zAXvxqu54OJqURjMICSFtMVAJ5_rOoFsPecACarRp-J2zvSMxvB_4tnJIMwUqFLnXnzEuevVf9CjpfzyOQm0DXUi8AtxmLSum?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="306" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">b. Định l&yacute; cosin</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Một tam gi&aacute;c ABC c&oacute; BC = a, AC = b, AB = c, ta c&oacute;:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">a2 = b2 + c2 - 2bc.cosA</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">b2 = a2 + c2 - 2ac.cosB</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">c2 = a2 + b2 - 2ab.cosC</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Hệ quả:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 185px; height: 49px;"><img alt="\large cosA=\frac{b^{2}+c^{2}-a^{2}}{2bc}" height="49" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcconpowwlypsdVhuax1Rk--v_IlLjO9PnWPCQ3qXNJF6m5PZNJJGaaTrddKK7-e3CeFAVdB8md_cq0aO5B4dYcoRRSKtit3ITf5iSa7VpGaSD2nGc8k2bEKqcHO6T8XJMLhP9RRtHSXid7YvaHCC5RZoI?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="185" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 186px; height: 49px;"><img alt="\large cosB=\frac{a^{2}+c^{2}-b^{2}}{2ac}" height="49" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeUSewsx5OGH9sbebeD1JvriBJftdo-FSy4aqss2l9bLaxuRIAVKxIFGBESd3UZcfEOmbS1pnDX4bNJqS0qjw4bKVnN1iP0pL8b_RoEmZTMQCqvL_qG5Q75BWHySo0JKnwePJaT42UeM3IY7OwC4eE6-brC?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="186" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 185px; height: 49px;"><img alt="\large cosC=\frac{a^{2}+b^{2}-c^{2}}{2ab}" height="49" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd1z4ojy1c5FptzVTUVoC8NYz_xaRjVFOVJzs2FlcNLeS2ngChPNgKqdLz4gOZ96oClqjd5ViZW8QXqNMtTF0XelkViqlWRGeJ7VzdLfnWohamkna-i_Knua5a6A9BSuwEqzYp5920TowzvFCUR_3_V0UtC?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="185" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Bảng gi&aacute; trị lượng gi&aacute;c cần ghi nhớ:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 269px; height: 247px;"><img height="247" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf9wjnLwgutvAh32_jKY179wi9wd-Y2aJwHqBd8lT7iSHoy_lGyy6_29axKwOHSpXqA_SfgbTkyTIc0ppM3Hh07bo288SjV-nO9VrcLG96ff5dTfXc7CY1U-pulpVph4K-Nhkme-0VxlFAEhOaQgtkSTzo?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="269" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">C&ocirc;ng thức t&iacute;nh độ d&agrave;i đường trung tuyến&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Một tam gi&aacute;c ABC c&oacute; BC = a, AC = b, AB = c, gọi m1, m2, m3 lần lượt l&agrave; c&aacute;c đường trung tuyến kẻ từ c&aacute;c đỉnh A, B, C. Khi đ&oacute;:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 193px; height: 49px;"><img alt="\large m_{1}^{2}=\frac{2(b^{2}+c^{2})-a^{2}}{4}" height="49" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdlh-k3YDWFcn79GKrXQ2wBwMOywcDkch3RQrFqFUnwDD_DyWn4crJf-2TKi6A42hrlxYgv2ZrFRYkKprmChM3nWePUDTgpivljKKcCORl78OykdlwIE5H8PtLQrXrxn_W3ObSazVQLr3VQLWzf5n7BTsF9?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="193" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 193px; height: 49px;"><img alt="\large m_{2}^{2}=\frac{2(a^{2}+c^{2})-b^{2}}{4}" height="49" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf7KcqUFjYsFLQff7WxfOkYlLhCo9pmQ36l2PIdonNaRheKjVEXfxoHYUQ6J9Wv-VAOX3O64Rr8jCeyzij9owxawX2r6EbBiRrpamlGAycCiCrWXQBNq2L-zPlDfQc_CZjd46atVmYpPRC_J0HVf-aNZTtV?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="193" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 193px; height: 49px;"><img alt="\large m_{3}^{2}=\frac{2(a^{2}+b^{2})-c^{2}}{4}" height="49" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeudT47h11uF-ZxJ_P5ug2LZGXWx3lmkHbP20K8cQA1jWevlPDp2zOaal3Lybk2nV8xJyg5i7RIY7wbbrOSfmaacmyrjzI3g2081Rm5mubfspl455jRLaSOkCar7I_gcRNeUt8DjXcaO7SyxHKGXxSarGsJ?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="193" /></span></span></p>
<p><strong id="docs-internal-guid-ed6d7a6d-7fff-bc18-fda4-8fdeff747496" style="font-weight: normal;">&nbsp;</strong></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">d. C&ocirc;ng thức t&iacute;nh diện t&iacute;ch tam gi&aacute;c&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Một tam gi&aacute;c ABC c&oacute; BC = a, AC = b, AB = c, kẻ đường cao h1,h2,h3 từ c&aacute;c đỉnh A, B, C, gọi R v&agrave; r lần lượt l&agrave; b&aacute;n k&iacute;nh của đường tr&ograve;n nội tiếp v&agrave; ngoại tiếp tam gi&aacute;c ABC. Khi đ&oacute;:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 233px; height: 45px;"><img alt="\large S=\frac{1}{2}ah_{1}=\frac{1}{2}bh_{2}=\frac{1}{2}ch_{3}" height="45" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdnEgnAIAJrbTRjgWbJjolvHSrqZzBI4REw4CIWwrKocQfEEu6F-Y4E2T2dtg5mkp3j-p5tBPv3jYPGA1adEYj0M0Eo_1BcISNorO3vEnM5TO9atZu5DdoVjWrUD0eDTd5T-7-vdaYzJFtC2tcCBTnGt8g?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="233" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 342px; height: 45px;"><img alt="\large S=\frac{1}{2}absinC=\frac{1}{2}bcsinA=\frac{1}{2}acsinB" height="45" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfbGNNC5iAfKMAQJOxT8ZFV2c30F_xNjrmwWXchCsz0jGnU-m8CaRII8yfggQJ6yHTfsZermGJ2ewMGLf_0pY9LN-jIf6ZUTNc8Qeku7K756du40dtV9Sk9cCAshTMXNaYcSc5XdUqGPOMFV6-LS1nWHs3w?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="342" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 74px; height: 45px;"><img alt="\large S=\frac{abc}{4R}" height="45" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXe9dbDLCaCK2BFSrSjL4BtdROJfSwTtwm0U9500LRQAVltdLNVeQuXLGEQKtqZ-l_a57hKpwIbzo-KrsGSRdGCzLHTelbmhJPNC62eLWGT0iWTQH0vBUPgoIZa88zWxf2IRVrQcK42N9EdKfWukO5cfabE?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="74" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 195px; height: 45px;"><img alt="\large S= pr=\frac{a+b+c}{2}.r" height="45" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfz9c6sCBNwkhGR2Mnbirb_mkECPbd_yMyni_3lEtzcv-9qauKQX6htVkOoN0nyJ7NWbefqR4Uw5nhBMD-Gss9mkz9CdxLBJ8FmWXvKsvIXdAE7oG7BEYzgMRyTfkVWkIk1y59Cqo34n6V_Ub9a6325cBbd?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="195" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 268px; height: 27px;"><img alt="\large S=\sqrt{p(p-a)(p-b)(p-c)}" height="27" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcLMGMcL3Wl5xSCkIbwuwqV4LvY3HT2NhHoayxVZOgbxUlr0s3yOsKtazruluKgxJKL3cgd5dzbgc8UD0oWfLbYgvg0qkUfMJe8_ryi5YpqByHQunktJrrEFEWT0KtREkDpwu0Ndi3t4RD5foj82raaUhhk?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="268" /></span></span></p>
<h2 dir="ltr" style="line-height: 1.38; margin-top: 18pt; margin-bottom: 6pt;"><span style="font-size: 16pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">2. Một số dạng b&agrave;i tập cần lưu &yacute; khi &ocirc;n thi giữa k&igrave; 1 m&ocirc;n</span></h2>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial,sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">2.1 Dạng b&agrave;i về mệnh đề&nbsp;</span></h3>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">a. B&agrave;i to&aacute;n định gi&aacute; trị của mệnh đề:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Kiểm tra t&iacute;nh đ&uacute;ng sai của mệnh đề đ&oacute;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Nếu mệnh đề chứa biến th&igrave; t&igrave;m tập hợp D của c&aacute;c biến x để p(x) đ&uacute;ng hoặc sai.&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">b. Ph&aacute;t biểu định l&yacute; dưới dạng b&agrave;i tập:</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Nếu A =&gt; B đ&uacute;ng th&igrave; A l&agrave; điều kiện đủ để c&oacute; B</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Nếu A =&gt; B sai th&igrave; B l&agrave; điều kiện đủ để c&oacute; A&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Nếu A=&gt; B đ&uacute;ng v&agrave; B =&gt; A đ&uacute;ng th&igrave; A l&agrave; điều kiện cần v&agrave; đủ để c&oacute; B&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">c. Dạng b&agrave;i t&igrave;m mệnh đề phủ định:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 420px; height: 182px;"><img height="182" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcGBiNdLeR1pt7hlgz-GOO7XbBMCDORpJrHvP3k6lWjnAXO_B6lMl58LpbUyARdCmTo_5JWt5IrRRymSJE6gTvkprLv2--aSl9uxbMXP7MkmiH5Fim4PoCj0BQVa30ShGzGEkJkiQ6HQbPHBNrK5PLZPQId?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="420" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">d. Chứng minh định l&yacute; A =&gt; B&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- C&aacute;ch 1: Chứng minh A đ&uacute;ng để suy ra B đ&uacute;ng</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- C&aacute;ch 2: Chứng minh bằng phản chứng: B sai =&gt; A sai&nbsp;</span></p>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial,sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">2.2 Dạng b&agrave;i về tập hợp&nbsp;</span></h3>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">a. Dạng b&agrave;i t&igrave;m tập hợp</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- Sử dụng phương ph&aacute;p liệt k&ecirc;: A = ( a1, a2, a3, ...)</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">- N&ecirc;u t&iacute;nh đặc trưng: A = {x </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 12px; height: 13px;"><img alt="\large \in" height="13" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeoa1GJPcXkkgtSZXfqjNNuYgsTFEwTI6waraH--d_mrFVvWE2HpTwo5HQm0kOvN7SCa7RuJ3zNuzt1qZdA--eOCMGzlZXGHNRPOA3f3s0L0mz1MWHS_JzNZbzpSE8sXWMWlcpYEN0cjYhR1pinx6ZUEh-W?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="12" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> X| p(x)}</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">b. Dạng b&agrave;i t&igrave;m tập hợp con:&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 254px; height: 17px;"><img alt="\large A\subset B\Leftrightarrow \forall x\in A\Rightarrow x\in B" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd-r47ZsDyJlgk8XT82efvzWMRfmIDWcFAk5wTGxVwq07W8vSjlUofdJGntPWn2seUn0BAEUtmUPggfxFlFznmVQl0KKmjvZWgyNrN3Lki7SNt8Vl6nvaqh578AnPpXkvmlcXAUnZnAKlvKcBuj_qFKg2hj?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="254" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 254px; height: 25px;"><img alt="\large A\nsubseteq B \Leftrightarrow \exists x\in A\Rightarrow x\notin B" height="25" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd9pTog7RlTNTKGLFizLWPNxzKwn4gdz7iwTj5pQi4bFYe08C70LtYsqA5_skG6vxswgK2z8xC-iLEUPSFxM2KU09xswS8sQcrXfRyEwm4qsLpvZSjmWxTehbjPDFvinQrjidQTpg-ikR8hUvJYrc9A28AY?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="254" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">c. Dạng b&agrave;i hai tập hợp bằng nhau:</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 159px; height: 17px;"><img alt="\large A=B\Leftrightarrow A\subset B" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfW9hhWGeZVZ20o_Uahac1zebN8wjJx9wavsR7335Ivk0TPkhi51ZC0XbtcvuYaIIavRpFUlHmspdKjfSg0ahKHlUzZRw4KKGUW1vgYLMcpudu9w7czizVd-Vz6r5LlQaGZ9321EdNISbtrTdlCarg4qigx?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="159" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">&nbsp; v&agrave; </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 62px; height: 17px;"><img alt="\large B\subset A" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXetU8b2rkjCPeV3aPnA0ZhEGeYogEnbrtW9PcvYPltbEtx6c5LCfed8avMvNlYI_znXMx4M7a13pe4fwkKIcgNzLvDrZNTdZm_FxlihoztdDCYApjXkK-2wL_HQ84NRzGwEmWRzJVRrFTTY4wmZZ4OOrQbz?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="62" /></span></span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 159px; height: 25px;"><img alt="\large A\neq B\Leftrightarrow A\nsubseteq B" height="25" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcHpfh8uW9RwZZC2Y8bg0iD09R2oYmckc1APlz_TpupHTzZqp4WD6kyOGTSz1CKx41e-fsfT3G9Y-R87LSyPvXQ3LDV1lbYmXa7euiSxa3rytAXCEvkYkI3ReOF4N1pgnw_NOR0ZJ-0FIuQvOKNUOiYMwl_?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="159" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> hoặc </span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 63px; height: 25px;"><img alt="\large B\nsubseteq C" height="25" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfR3IZnZKClcK_UWZ3OYoGT4PSPZ-6e_TnZWS5ilzEXe5Vfv1USVk5H-0OfiFtyAm8zb8ZePXg2vxlxkqm5auAUaxAnHTVN23a6sobO8pD_uPmJTS4CoV9k9twoIWKwQ6rBk0_d8ZkPP29y00uTSSatOOXK?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="63" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">d. Dạng b&agrave;i c&aacute;c ph&eacute;p to&aacute;n giao, hợp, hiệu</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">&nbsp;Liệt k&ecirc; A v&agrave; B&nbsp;</span></p>
<p dir="ltr" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; overflow: hidden; width: 58px; height: 16px;"><img alt="\large A\cap B" height="16" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcDbIgC75BToJaagb2KTrpjjt0wrirmzcoxn3SnDcXK7vmjaArVR1mkiZyqdhJIonSMn9s1PaGl-4NQ7ldYApsZrGlI_DB-zqDwSA_f5iJKSTFwlXaRX4QTySi7qvNDwdyBU8AekM67ZnwrbQRgw01V-BMw?key=Vz0I2IO19IyUO8rTKNGFTg" style="margin-left: 0px; margin-top: 0px;" width="58" /></span></span><span style="font-size: 11pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> : Lấy phần tử chung&nbsp;</span></p>

Nguồn:
[https://vuihoc.vn/tin/thpt-de-cuong-on-thi-giua-ki-1-mon-toan-10-chi-tiet-2071.html](https://vuihoc.vn/tin/thpt-de-cuong-on-thi-giua-ki-1-mon-toan-10-chi-tiet-2071.html)