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浙教版八年级(上)第二章《特殊三角形》检测题

2010年第二章特殊三角形检测题

班级＿＿＿＿＿＿＿姓名＿＿＿＿＿＿＿学号＿＿＿＿＿＿＿得分＿＿＿＿＿

＿＿＿

一、

精心选一选：（每题3分，共30分）

1、等腰三角形的两条边长是3和6，则它的周长是（）

A 、12

B 、15

C 、12或15

D 、15或18

2、有三枝木棒其中两枝的长分别是5cm ，13cm ，已知这三枝木棒首尾相连，能组成一个直角三角形，则第三枝木棒的长可以是（）cm.

A 、3

B 、8

C 、12

D 、13

3、如图在△ABC 中，∠BAC ＝90°，AD ⊥BC ，则图中互为余角的有（）

A 、2对

B 、3对

C 、4对

D 、5对

4、已知在△ABC 中，∠A=∠B —∠C ，则△ABC 为（）

A 、锐角三角形

B 、钝角三角形

C 、直角三角形

D 、以上都有可能

5、在△ABC 中，∠A 的相邻外角是110°，要使△ABC 为等腰三角形，则底角∠B 的度数是（）

A 、70

B 、55°

C 、70°或55°

D 、60° 6、下列判断正确的是（）

A 、顶角相等的的两个等腰三角形全等

B 、腰相等的两个等腰三角形全等

C 、有一边及一锐角相等的两个直角三角形全等

D 、顶角和底边分别相等的两个等腰三角形全等

7、如图，在Rt △ABC 中，CD 是斜边AB 上的中线，若∠A=20 o，则∠BDC=（） A 、30 o B 、40 o C 、45 o D 、60 o 8、若一个三角形有两条边相等，且有一内角为60o，那么这个三角形一定为（）

A 、等边三角形

B 、等腰三角形

C 、直角三角形

D 、钝角三角形

9、三角形内到三角形各边的距离都相等的点必在三角形的（）

A 、中线上

B 、角平分线上

C 、高线上

D 、不能确定 10、已知如图，折叠长方形的一边AD ，使点D 落在BC 边的点F 处，已知AB=8cm ，BC=10cm ，则EC=( )

A 、3

B 、4

C 、5

D 、6

二、专心填一填：（每题3分，共24分）

11、在Rt △ABC 中, 锐角∠A ＝35°，则另一个锐角∠B ＝＿＿＿＿＿＿＿

12、在△ABC 中, ∠ACB ＝90°，AB ＝10cm ，点D 为AB 的中点，则CD ＝

_____cm.

A D

B C

13、在△ABC 中, ∠A ＝120°，∠B ＝30°，AB ＝4cm ，则AC ＝＿＿＿__。 14、等腰直角三角形的腰长为1，则它的底边长_________.

15、如图，在△ABC 中，∠C ＝90°，AD 平分∠BAC ，BC=12cm ，BD=8，则D 点到AB 的距离为________．

16、如图,已知在△ABC 中,BC ＝3，∠ACB 和∠ABC 的两条角平分线相交于点O ， OE ∥AB ，OF ∥AC ，则△OEF 的周长是＿＿＿＿

17、如图，在△ABC 中，∠C=90°，AB 的中垂线DE 交AB 于E ，交BC 于D ，若∠B ＝25°，则∠CAD ＝__________°

18、等腰△ABC 中，AB ＝AC ＝5，BC ＝6，AD⊥BC，C E⊥A B 。则EC=____ 三、解答题（46分）

19、（ 8分）在如图所示的网格中，每个小正方形的边长均为1个单位。

（1）请你在图1中画出两条平行线，要求每条直线至少经过两个格点（网格的交点），但是又不与网格线重合；

（2）请你在图2中画一个以格点为顶点，面积为6个平方单位的等腰三角形。（3）请你在图3中画一个以格点为顶点，三边都不与网格线重合的直角三角形（4）请你在图4中画一条以格点为端点，长度为10的线段。

图1 图2 图3

图3

20、（6分）如图，已知Rt △ABC 中，∠A CB ＝Rt ∠，两直角边BC 、AC 长分别为5和12,

求：⑴斜边AB 的长；⑵斜边上的高CD 的长。

B C

E 第18题第17题

第16题第15题

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