85问答库 > 如何用向量证明三角形三条中线交于一点

如何用向量证明三角形三条中线交于一点

2025-04-07 09:20:56
推荐回答（1个）
回答1：

问题即为：已知△ABC中各边中线分别为AD、BE、CF，AD交BE于点G 求证：G点在直线CF上。析：这就转化为证明两个向量共线的问题，（省略向量符号）即CG=λCF. 下面就是简单的向量转化了。 PS:在数学里有一种证明方法可以先用“甲”（作为已知条件）来证明“乙”，再用“乙”来证明“甲”，名字我忘了，但是肯定是存在的。

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