题目
题型:不详难度:来源:
(1)如图l,若P点是
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-44794.png)
(2)如图2,若P点是
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-47360.png)
(3)如图3,若P点是外角
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-77878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-90146.png)
上述说法正确的个数是( )
A.0个 | B.1个 | C.2个 | D.3个 |
答案
解析
该试题考查知识点:三角形的内角和定理、外角、角平分线
思路分析:利用角平分线的定义、三角形的内角和定理进行演算
具体解答过程:
(1)、对图1来说:
∵P点是
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-62474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-44794.png)
(2)、对图2来说:
∵P点是
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-67810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
(3)、对于图3来说:
∵P点是外角
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-79722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092415-50616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-69998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092415-93808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092415-27113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092414-40963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092412-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092413-77878.png)
综上所述,与题中所给的说法对比可知:只有(1)和(3)两个是正确的。
故选C
试题点评:演算繁琐,需及时化简。这类题目在中考中出现的几率较小,但作为平时的练习还是有一定价值的。
核心考点
试题【已知△ABC,(1)如图l,若P点是ABC和ACB的角平分线的交点,则P=;(2)如图2,若P点是ABC和外角ACE的角平分线的交点,则P=;(3)如图3,若P】;主要考察你对相似图形性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092407-47621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092408-97976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092407-47621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092408-97976.png)
A.2个 | B.4个 | C.6个 | D.8个 |
A.![]() | B.![]() | C.![]() | D.![]() |
已知:直线a∥b,点A、B在直线a上,点C、D在直线b上,如图
(1). (2分)若
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092354-72642.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092355-44018.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092355-74603.gif)
2若
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092355-25782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092356-86676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092349-48088.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092349-37899.jpg)
如图,要在河边修建一个水泵站,分别向张村A和李庄B送水,已知张村A、李庄B到河边的距离分别为2km和7km,且张、李二村庄相距13km.
(1). (2分)水泵应建在什么地方,可使所用的水管最短?请在图中设计出水泵站的位置;
(2). (4分)如果铺设水管的工程费用为每千米1500元,为使铺设水管费用最节省,请求出最节省的铺设水管的费用为多少元?
A.等边三角形都全等 |
B.面积相等的两个三角形全等 |
C.腰长对应相等的两个等腰三角形全等 |
D.直角三角形和钝角三角形不可能全等 |
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