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

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...

全部展开

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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