用反证法证明:在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行

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用反证法证明:在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行
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用反证法证明:在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行
用反证法证明:在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行

用反证法证明:在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行
假设这两条直线不平行 ,则这两条直线相交
那么过这个交点向第三条直线作垂线可以作两条,这与过直线外一点向已知直线作垂线有且只能作一条向矛盾 ;故假设不成立
所以:在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行

假设两条直线都和第三条直线垂直,这两条直线不平行。
因为 两直线和第三条直线垂直
两条直线不平行
所以 这上边可以构成一个三角形
因为 两直线和第三条直线垂直
所以 有2个角是90度的
所以 三角形三个角加起来大于180度
所以 两直线不可能不平行
所以 在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行...

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假设两条直线都和第三条直线垂直,这两条直线不平行。
因为 两直线和第三条直线垂直
两条直线不平行
所以 这上边可以构成一个三角形
因为 两直线和第三条直线垂直
所以 有2个角是90度的
所以 三角形三个角加起来大于180度
所以 两直线不可能不平行
所以 在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行

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因为 两直线和第三条直线垂直
两条直线不平行
所以 这上边可以构成一个三角形
因为 两直线和第三条直线垂直
所以 有2个角是90度的
所以 三角形三个角加起来大于180度
所以 两直线不可能不平行
所以 在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行...

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因为 两直线和第三条直线垂直
两条直线不平行
所以 这上边可以构成一个三角形
因为 两直线和第三条直线垂直
所以 有2个角是90度的
所以 三角形三个角加起来大于180度
所以 两直线不可能不平行
所以 在同一平面内,如果两条直线都和第三条直线垂直,那么这两条直线平行

收起

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