江西都昌东湖中学2015-2016学年上九年级期中测试试题

江西都昌东湖中学2015-2016学年上九年级期中测试试题
江西都昌东湖中学2015-2016学年上九年级期中测试试题

2015-2016学年上期中测试试题一、选择题(本大题共10个小题,每小题3分,共30分)

1.一元二次方程x2-3x+2=0的两根为x

1,x

2

,则x

1

+x

2

的值是( )

A.2 B.-2 C.3 D.-3 2.一元二次方程x2-4x+5=0的根的情况是( )

A.有两个不相等的实数根 B.有两个相等的实数根

C.只有一个实数根 D.没有实数根

3.如果2是方程x2-3x+c=0的一个根,那么c的值是( )

A.4 B.-4 C.2 D.-2 4.三角形两边的长是3和4,第三边的长是方程x2-12x+35=0的根,则该三角形的周长为( )

A.14 B.12

C.12或14 D.以上都不对

5.某校准备修建一个面积为180平方米的矩形活动场地,它的长比宽多11米,设场地的宽为x米,则可列方程为( )

A.x(x-11)=180 B.2x+2(x-11)=180

C.x(x+11)=180 D.2x+2(x+11)=180 6.一个袋子中装有3个红球和2个黄球,这些球的形状、大小、质地完全相同,在看不到球的条件下,随机从袋子里同时摸出2个球,其中2个球的颜色相同的概率是( )

A.3

4

B.

1

5

C.

2

5

D.

3

5

7.关于x的一元二次方程(m-2)x2+2x+1=0有实数根,则m的取值范围是( )

A.m≤3 B.m<3

C.m<3且m≠2 D.m≤3且m≠2

8.如图,矩形ABCD的对角线AC、BD相交于点O,CE∥BD,DE∥AC.若AC=4,则四边形CODE的周长是( )

A.4 B.6 C.8 D.10

9.如图,正△AEF 的边长与菱形ABCD 的边长相等,点E 、F 分别在BC 、CD 上,则∠B 的度数是( )

A .70°

B .75°

C .80°

D .95°

第8题图 第9题图 第10 题图

第12题图第 15题图

10.如图,E ,F ,G ,H 分别是BD ,BC ,AC ,AD 的中点,且AB =CD ,下列结论:

①EG ⊥FH ;②四边形EFGH 是矩形;③HF 平分∠EHG ;④EG =12

(BC -AD);⑤四边形EFGH 是菱形,其中正确的个数是( )

A .1个

B .2个

C .3个

D .4个

二、填空题(本大题共5小题,每小题4分,共20分)

11.一元二次方程x 2+x =0的解是________________.

12.如图,在矩形ABCD 中,对角线AC 、BD 相交于点O ,若∠AOB =60°,AC =10,则AB =________.

13.若x 1、x 2是方程2x 2-3x -4=0的两个根,则x 1x 2+x 1+x 2的值为________.

14.某班要从甲、乙、丙、丁四位班干部(两男两女)中任意两位参加学校组织的志愿者服务活动,则恰好选中一男一女的概率是________.

15.如图,正方形ABCD 的边长为4,∠DAC 的平分线交DC 于点E ,若点P ,Q 分别是AD 和AE 上的动点,则DQ +PQ 的最小值是________.

三、解答题(本大题共7个小题,各题分值见题号后,共70分)

16.(8分)用适当的方法解方程:

(1)x 2-4x +3=0; (2)(x -2)(3x -5)=1.

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