1.如图,在△ABC中,D,E分别在AB,AC上,且BD=CE,F、G分别为BE、CD的中点,过F、G的直线交AB与点Q.求证AP=AQ.2.已知(y+z-x)/(x+y+z)=(x+z-y)/(y+z-x)=(x+y-z)/(z+x-y)=P,则P^3+P^2+P=多少?
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![1.如图,在△ABC中,D,E分别在AB,AC上,且BD=CE,F、G分别为BE、CD的中点,过F、G的直线交AB与点Q.求证AP=AQ.2.已知(y+z-x)/(x+y+z)=(x+z-y)/(y+z-x)=(x+y-z)/(z+x-y)=P,则P^3+P^2+P=多少?](/uploads/image/z/2684366-62-6.jpg?t=1.%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2CD%2CE%E5%88%86%E5%88%AB%E5%9C%A8AB%2CAC%E4%B8%8A%2C%E4%B8%94BD%3DCE%2CF%E3%80%81G%E5%88%86%E5%88%AB%E4%B8%BABE%E3%80%81CD%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E8%BF%87F%E3%80%81G%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%BA%A4AB%E4%B8%8E%E7%82%B9Q.%E6%B1%82%E8%AF%81AP%3DAQ.2.%E5%B7%B2%E7%9F%A5%EF%BC%88y%2Bz-x%29%2F%28x%2By%2Bz%29%3D%28x%2Bz-y%29%2F%28y%2Bz-x%29%3D%28x%2By-z%29%2F%28z%2Bx-y%29%3DP%2C%E5%88%99P%5E3%2BP%5E2%2BP%3D%E5%A4%9A%E5%B0%91%3F)
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