已知等边三角形ABC和点P,设点P到△ABC三边AB、AC、BC的距离分别为h1,h2,h3,△ABC的高为h.如图1所示,此时h3=0,可的结论h1+h2+h3=h.请直接利用上述信息解决下列问题:1 当点P在三角形ABC内时,如图2所示
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![已知等边三角形ABC和点P,设点P到△ABC三边AB、AC、BC的距离分别为h1,h2,h3,△ABC的高为h.如图1所示,此时h3=0,可的结论h1+h2+h3=h.请直接利用上述信息解决下列问题:1 当点P在三角形ABC内时,如图2所示](/uploads/image/z/1541783-47-3.jpg?t=%E5%B7%B2%E7%9F%A5%E7%AD%89%E8%BE%B9%E4%B8%89%E8%A7%92%E5%BD%A2ABC%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%E3%80%81AC%E3%80%81BC%E7%9A%84%E8%B7%9D%E7%A6%BB%E5%88%86%E5%88%AB%E4%B8%BAh1%2Ch2%2Ch3%2C%E2%96%B3ABC%E7%9A%84%E9%AB%98%E4%B8%BAh.%E5%A6%82%E5%9B%BE1%E6%89%80%E7%A4%BA%2C%E6%AD%A4%E6%97%B6h3%3D0%2C%E5%8F%AF%E7%9A%84%E7%BB%93%E8%AE%BAh1%2Bh2%2Bh3%3Dh.%E8%AF%B7%E7%9B%B4%E6%8E%A5%E5%88%A9%E7%94%A8%E4%B8%8A%E8%BF%B0%E4%BF%A1%E6%81%AF%E8%A7%A3%E5%86%B3%E4%B8%8B%E5%88%97%E9%97%AE%E9%A2%98%EF%BC%9A1+%E5%BD%93%E7%82%B9P%E5%9C%A8%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E5%86%85%E6%97%B6%2C%E5%A6%82%E5%9B%BE2%E6%89%80%E7%A4%BA)
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