如圖,在菱形ABCD中,∠BAD=80°,AB的垂直平分線交對(duì)角線AC于點(diǎn)F,E為垂足,連接DF,則∠CDF等于( ?。?A.60° B.65° C.70° D.80°
如圖,在菱形ABCD中,∠BAD=80°,AB的垂直平分線交對(duì)角線AC于點(diǎn)F,E為垂足,連接DF,則∠CDF等于( ?。?br/>
![](http://hiphotos.baidu.com/zhidao/pic/item/728da9773912b31bef135f9f8518367adab4e10d.jpg)
A. 60°
B. 65°
C. 70°
D. 80°
優(yōu)質(zhì)解答
連接BD,BF,
![](http://hiphotos.baidu.com/zhidao/pic/item/7af40ad162d9f2d32b30b659aaec8a136327cc67.jpg)
∵∠BAD=80°,
∴∠ADC=100°,
又∵EF垂直平分AB,AC垂直平分BD,
∴AF=BF,BF=DF,
∴AF=DF,
∴∠FAD=∠FDA=40°,
∴∠CDF=100°-40°=60°.
故選A.
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