如图,已知等边△ABC和点P,设点P到△ABC三边AB,AC,BC(或其延长线)的距离分别为h1、h2、h3,△ABC的高为h.(1)如图1,若点P是边BC的中点,此时h3=0,可得结论:h1+h2+h3=h.请说明理由(2)如图2,若点p
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![如图,已知等边△ABC和点P,设点P到△ABC三边AB,AC,BC(或其延长线)的距离分别为h1、h2、h3,△ABC的高为h.(1)如图1,若点P是边BC的中点,此时h3=0,可得结论:h1+h2+h3=h.请说明理由(2)如图2,若点p](/uploads/image/z/8839121-41-1.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E7%AD%89%E8%BE%B9%E2%96%B3ABC%E5%92%8C%E7%82%B9P%2C%E8%AE%BE%E7%82%B9P%E5%88%B0%E2%96%B3ABC%E4%B8%89%E8%BE%B9AB%2CAC%2CBC%EF%BC%88%E6%88%96%E5%85%B6%E5%BB%B6%E9%95%BF%E7%BA%BF%EF%BC%89%E7%9A%84%E8%B7%9D%E7%A6%BB%E5%88%86%E5%88%AB%E4%B8%BAh1%E3%80%81h2%E3%80%81h3%2C%E2%96%B3ABC%E7%9A%84%E9%AB%98%E4%B8%BAh.%EF%BC%881%EF%BC%89%E5%A6%82%E5%9B%BE1%2C%E8%8B%A5%E7%82%B9P%E6%98%AF%E8%BE%B9BC%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E6%AD%A4%E6%97%B6h3%3D0%2C%E5%8F%AF%E5%BE%97%E7%BB%93%E8%AE%BA%EF%BC%9Ah1%2Bh2%2Bh3%3Dh%EF%BC%8E%E8%AF%B7%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1%EF%BC%882%EF%BC%89%E5%A6%82%E5%9B%BE2%2C%E8%8B%A5%E7%82%B9p)
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