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安裝GeoGebra並繪製三角形重心

作者：王一哲
日期：2018/1/29

下載並安裝GeoGebra

GeoGebra 是一套基於 GPL 發行的數學動態繪圖軟體，主要是以 JAVA 和 HTML5 寫成的，我覺得目前的功能已經足以應付高中課堂的需求。以下是 GeoGebra 的首頁 (https://www.geogebra.org/?lang=zh_TW)，上面3個項目 GeoGebra 繪圖計算機、GeoGebra Geometry、GeoGebra 立體繪圖是 GeoGebra 其中3種功能的線上版，可以不需要安裝軟體，直接在瀏覽器上面執行。但是我們想在電腦上安裝 GeoGebra ，請按右下角的 Downloads。在下載頁面當中有6種不同的軟體，我選擇的是最傳統的 GeoGebra Classic 5。

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GeoGebra首頁

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GeoGebra下載頁面

選擇 GeoGebra Classic 5 或 6？

以下分別是 GeoGebra Classic 5 和 6 開啟新檔案後的畫面，比較明顯的差異在於 5 的下方是輸入指令的欄位，6 的下方則是提示輸入格式的虛擬鍵盤，輸入指令的欄位被移到左側。在運行速度方面，我試著用 5 和 6 開啟同一個檔案，在執行動畫功能時，5 的運作比較流暢，6 則有點卡。再加上我還不太習慣 6 的操作界面，我應該還是會以 5 為主。

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GeoGebra Classic 5 開啟新檔案後的畫面

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GeoGebra Classic 6 開啟新檔案後的畫面

利用繪圖工具找出三角形的重心

利用內建的繪圖工具就可畫出許多數學課本上面的圖，以下以三角形的重心為例。

  1. 選取工具新點，用滑鼠左鍵在繪點視窗上點3下，畫出點A、B、C。
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  1. 在點A上雙擊滑鼠左鍵，開啟重新定義視窗，點左下角的屬性，修改點的樣式。
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  1. 選取工具多邊形，用滑鼠左鍵依序點選點A、B、C、A，繪製三角形ABC。請注意，最後一定要再點一次起始點，GeoGebra才會把曲線封閉，變成多邊形。
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  1. 選取工具中心點，用滑鼠左鍵點選點A、B，畫出中點D，重複上步驟畫出另外2個中點。
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  1. 選取工具線段，用滑鼠左鍵點選點A、E，畫出中線AE，重複上步驟畫出另外2條中線。
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  1. 選取工具交點，用滑鼠左鍵點選線段AE、BF、CD其中2條，畫出中線點交點G。畫完之後，如果用滑鼠左鍵拖曳點A、B、C其中一個，其它相關的圖形位置都會自動跟著改變，可以看到不同三角形的重心有何差異，這是使用 GeoGebra 比黑板方便之處。線上版的檔案連結為 https://ggbm.at/BQWJVvz4
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tags:GeoGebra
Last changed by 
 
Yi-Zhe Wang
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