如圖所示,在平行四邊形ABCD中,∠ABC的角平分線(xiàn)分別交AC,AD于E,F(xiàn)點(diǎn),EG⊥BC,若BA=6,AC=8,AD=10. (1)求FD的長(zhǎng); (2)求△BEC的面積.
如圖所示,在平行四邊形ABCD中,∠ABC的角平分線(xiàn)分別交AC,AD于E,F(xiàn)點(diǎn),EG⊥BC,若BA=6,AC=8,AD=10.
![](http://hiphotos.baidu.com/zhidao/pic/item/e850352ac65c1038148dec46b1119313b17e8946.jpg)
(1)求FD的長(zhǎng);
(2)求△BEC的面積.
![](http://hiphotos.baidu.com/zhidao/pic/item/e850352ac65c1038148dec46b1119313b17e8946.jpg)
(1)求FD的長(zhǎng);
(2)求△BEC的面積.
數(shù)學(xué)人氣:113 ℃時(shí)間:2020-10-02 00:43:26
優(yōu)質(zhì)解答
(1)∵平行四邊形ABCD,∴BC=AD=10,AB=CD=6,AD∥BC,在△ABC中,BA=6,AC=8,BC=10,由勾股定理的逆定理得BA2+AC2=BC2,∴△ABC為Rt△,∠BAC=90°,∵AD∥BC,∴∠CBF=∠AFB,∠DAE=∠BCE,又∵BF平分∠ABC,∴...
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