如图所示,在∠POQ内部有M点和N点,同时能使∠MOP=∠NOQ,这时在直线OP上再取A点,使从A点到M点及N点的距离和为最小,在直线OQ上也取B点,使从B点到M点和N点的距离和也最小.证明:AM+AN=BM+BN.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/29 17:52:23
![如图所示,在∠POQ内部有M点和N点,同时能使∠MOP=∠NOQ,这时在直线OP上再取A点,使从A点到M点及N点的距离和为最小,在直线OQ上也取B点,使从B点到M点和N点的距离和也最小.证明:AM+AN=BM+BN.](/uploads/image/z/12512414-38-4.jpg?t=%E5%A6%82%E5%9B%BE%E6%89%80%E7%A4%BA%2C%E5%9C%A8%E2%88%A0POQ%E5%86%85%E9%83%A8%E6%9C%89M%E7%82%B9%E5%92%8CN%E7%82%B9%2C%E5%90%8C%E6%97%B6%E8%83%BD%E4%BD%BF%E2%88%A0MOP%3D%E2%88%A0NOQ%2C%E8%BF%99%E6%97%B6%E5%9C%A8%E7%9B%B4%E7%BA%BFOP%E4%B8%8A%E5%86%8D%E5%8F%96A%E7%82%B9%2C%E4%BD%BF%E4%BB%8EA%E7%82%B9%E5%88%B0M%E7%82%B9%E5%8F%8AN%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB%E5%92%8C%E4%B8%BA%E6%9C%80%E5%B0%8F%2C%E5%9C%A8%E7%9B%B4%E7%BA%BFOQ%E4%B8%8A%E4%B9%9F%E5%8F%96B%E7%82%B9%2C%E4%BD%BF%E4%BB%8EB%E7%82%B9%E5%88%B0M%E7%82%B9%E5%92%8CN%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB%E5%92%8C%E4%B9%9F%E6%9C%80%E5%B0%8F.%E8%AF%81%E6%98%8E%EF%BC%9AAM%2BAN%3DBM%2BBN.)
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