题目内容
已知:如图,![](http://thumb.1010pic.com/pic1/imagenew2/czsx/5/43725.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/6/43726.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/7/43727.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/8/43728.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/9/43729.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/10/43730.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/11/43731.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/12/43732.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/13/43733.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/14/43734.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/15/43735.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/16/43736.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/9/43729.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/18/43738.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/19/43739.png)
【小题1】(1)说明:
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/0/43740.png)
【小题2】(2)说明:
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/1/43741.png)
【小题3】(3)试探索
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/2/43742.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/3/43743.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/4/43744.png)
【小题1】解:(1)∵CD⊥AB
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/5/43745.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/6/43746.png)
∵BE⊥AC
∴∠A+∠FBD="90 " ∴∠FBD=∠ACD
∵
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/7/43747.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/8/43748.png)
∴∠DCB=
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/7/43747.png)
∴△BDF≌△CDA ∴
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/10/43750.png)
【小题2】(2) ∵
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/11/43751.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/12/43752.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/13/43753.png)
∴△ABC关于直线BE成轴对称图形
∴
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/14/43754.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/10/43750.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/16/43756.png)
【小题3】(3) 连结GC ∵∠DCB=
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/7/43747.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/18/43758.png)
CD⊥AB
∴△BDC是等腰直角三角形
∵H
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/19/43759.png)
∴CG="BG " ∠EGC=2∠EBC=45
∵BE⊥
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/0/43760.png)
∴
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/1/43761.png)
略
![](http://thumb2018.1010pic.com/images/loading.gif)
练习册系列答案
相关题目