题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035713-84354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035713-60712.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
答案
解析
试题分析:由AB=AC,根据等边对等角,即可得∠B=∠C,又由BF=CD,BD=CE,可证得△BDF≌△CED(SAS),根据全等三角形的性质,即可求得∠B=∠C=α,根据三角形的内角和定理,即可求得答案.
∵AB=AC,
∴∠B=∠C,
∵BF=CD,BD=CE,
∴△BDF≌△CED(SAS),
∴∠BFD=∠EDC,
∵α+∠BDF+∠EDC=180°,
∴α+∠BDF+∠BFD=180°,
∵∠B+∠BDF+∠BFD=180°,
∴∠B=α,
∴∠C=∠B=α,
∵∠A+∠B+∠C=180°,
∴2α+∠A=180°.
故选A.
点评:全等三角形的判定和性质是初中数学的重点,贯穿于整个初中数学的学习,是中考中比较常见的知识点,一般难度不大,需熟练掌握.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035707-41537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035707-76887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035708-91654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035708-61039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035708-60714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035708-62818.png)
A.40° | B.50° | C.100° | D.120° |
A.等腰三角形的两个底角相等 |
B.直角三角形的两个锐角互余 |
C.对顶角相等 |
D.线段垂直平分线上的点到线段两端点的距离相等 |
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035700-32312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035700-98702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035701-27575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035701-21696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035701-48580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035701-88471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035702-43885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035702-89899.png)
A.2 | B.3 | C.4 | D.5 |
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035654-87646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035654-74633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035654-77147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035655-92607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035655-55113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035655-86154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035655-41573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035656-21515.png)
A.4 | B.5 | C.8 | D.100 |
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035647-38274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035648-60352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035648-54458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035648-37456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035648-77906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103035649-99187.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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