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中考冲刺指南(最新版):模拟试卷(五)

中考冲刺指南(最新版):模拟试卷(五)
中考冲刺指南(最新版):模拟试卷(五)

中考冲刺指南

模拟试卷(五)

班级学号姓名

一、选择题(本题有10个小题,每小题3分,共30分)下面每小题给出四个选项中,只有一个是正确的.注意可以用多种不同的方法来选取正确的答案.

1

C )

A. 2x

B. ±2x

D. ±

2.如果一个多边形的内角和等于外角和的3倍,那么这个多边形的边数为(B )A.7 B.8 C.9 D.10

3.如果2是方程0

2=

-c

x的一个根,那么c的值是( C )

A.4B.-4 C.2 D.-2

4.列说法中正确的是( D )

A.“打开电视,正在播放《天下足球》”是必然事件;

B.某次抽奖活动中奖的概率为

50

1,说明每买50张奖券,一定有一次中奖;

C.数据3,3,4,4,5的众数是5;

D.想了解台州市城镇居民人均年收入水平,宜采用抽样调查.

5.如图,点O在⊙A外,点P在线段OA上运动.以OP为半径的⊙O与⊙A的位置关系

不可能

...是下列中的(▲ )

A.外离B.外切C.相交D.内含

6.如图,四个边长为1的小正方形拼成一个大正方形,A、B、O是小正方形顶点,⊙O的半径为1,P是⊙O上的点,且位于右上方的小正方形内,则sin∠APB等于( B )A.

1

2B.

2

2C.

3

2D.1

7.若点M(x,y)满足2

)

(2

2

2-

+

=

+y

x

y

x,则点M所在象限是( B )

A.第一、三象限 B. 第二、四象限 C. 第一、二象限 D. 不能确定

8.一张等腰三角形纸片,底边长l5cm,底边上的高长22.5cm.现沿底边依次从下往上裁剪

(第8题)

宽度均为3cm 的矩形纸条,如图所示.已知剪得的纸条中有一张是正方形,则这张正方形纸条是( C )

A .第4张

B .第5张

C .第6张

D .第7张

9.如图,已知Rt △ABC 的直角边AC =24,斜边AB =25,一个以点P 为圆心、半径为1的圆在△ABC 内部沿顺时针方向滚动,且运动过程中⊙P 一直保持与△ABC 的边相切,当点P 第一次回到它的初始位置时所经过路径的长度是( C ) A .

563

B .25

C .

112

3

D .56 10.我们一起来玩一个四等分转盘游戏,在它的上、右、下、左的位置分别挂着“数”、“学”、“好”、“玩”四个字牌,如图1.若将位于上下位置的两个字牌对调,同时将位于左右位置的两个字牌对调,再将转盘顺时针旋转90

,则完成一次变换.图2,图3分别表示第1次变换和第2次变换.按上述规则完成第2011次变换后,“数”字位于转盘的位置是( D )

A .上

B .下

C .左

D .右 二、填空题(本大题共6小题,每小题4分,共24分)把正确答案直接填在答题纸相应的位置内. 11、若

2

1

x x --在实数范围内有意义,则x 的取值范围是 1x ≠ .

12.若关于x 的方程3x 2-2x +m =0有两个不相等的实数根,则m 的取值范围为 3

1

<

m . 13.在△ABC 中,∠B =45°,cos ∠C =5

3

,AC =5a ,则用含a 的代数式表示AB 是 . 14.如图AB 、AC 是O ⊙的两条弦,A ∠=30°,过点C 的切线与OB 的延长线交于点D ,则D

∠的度数为

30° .

图1

图2

图3

(第9题)

15.如图,直线43y x =

与双曲线k y x =(0x >)交于点A .将直线43y x =向右平移9

2

个单位后,与双曲线k y x =(0x >)交于点B ,与x 轴交于点C ,若2AO

BC

=,

则k = 12 . 16.如图①,在梯形ABCD 中,AD ∥BC ,∠A =60°,动点P 从A 点出发,以1cm /s 的速度

沿着A →B →C →D 的方向不停移动,直到点P 到达点D 后才停止。已知△P AD 的面积S (单位:

)与点P 移动的时间t (单位:s )的函数关系式如图②所示,则点P 从开

始移动到停止移动一共用了 4+

.

三、解答题(本大题有8小题,第17题6分,18~19题每题8分,第20、21题每题10分,第22、23题每题12分,共66分)

17.化简:)]4(2)[2(m m +---,若m 是任意实数,对化简结果,你发现原式表示的数有什么特点?

18.如图所示,正方形网格中,ABC △为格点三角形(即三角形的顶点都在格点上). (1)把ABC △沿BA 方向平移后,点A 移到点1A , 在网格中画出平移后得到的11A B C 1△;

(2)把11A B C 1△绕点1A 按逆时针方向旋转90

°, 在网格中画出旋转后的22A B C 1△;

题)

15题)

(第13题)

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