2012---2013学年度第一学期英语期末练习

2012---2013学年度第一学期期末练习

初一数学

一、选择题（共8个小题，每小题3分，共24分）

下列各题均有四个选项，其中只有一个．．是符合题意的. 1. －5的绝对值是

A ．5

B ．－5

C ．15

D ．－15

2. 十八大报告指出：“建设生态文明，是关系人民福祉、关乎民族未来的长远大计”，这些

年党和政府在生态文明的发展进程上持续推进，在“十一五”期间，中国减少二氧化碳排放1 460 000 000吨，赢得国际社会广泛赞誉.将1 460 000 000用科学记数法表示为 A ．146×107 B ．1.46×107 C ．1.46×109 D ．1.46×1010 3.

A D 4. A ．垂线段最短 C 5. 已知代数式165m a b --和

212

ab 是同类项，则m n -的值是 A ．1 B ．－1 C ．－2 D ．－3

6. 如图所示，将一块直角三角板的直角顶点O 放在直尺的一边CD 上，如果∠AOC ＝28°，那么∠BOD 等于

A ．72°

B ．62°

C ．52°

D ．28°

7. 某商场把一个双肩背书包按进价提高50%标价，然后再按八折出售，这样商场每卖出一

个书包就可赢利8元.设每个双肩背书包的进价是x 元，根据题意列一元一次方程，正确的是

A ．()150%80%8x x +?-=

B ．50%80%8x x ?-=

C ．()150%80%8x +?=

D ．()150%8x x +-= 8. 按下面的程序计算：

当输入100x =时，输出结果是299；当输入50x =时，输出结果是466；如果输入x 的值是正整数，输出结果是257，那么满足条件的x 的值最多有

A ．1个

B ．2个

C ．3个

D ．4个

二、填空题（共7个小题，每小题2分，共14分） 9. －210. 11. 如图，点AB 上一点，且BD =1cm ，

那么CD 12. 已知2

13. a 如果（14. 的值是

．

15. 如图，两条直线相交只有1个交点，三条直线相交最多有3个交点，四条直线相交最多

有6个

交点，五条直线相交最多有10个交点，六条直线相交最多有个交点，二十条直线相

交最多有个交点．

…

1个交点 3个交点 6个交点 10个交点

A B

C D

三、解答题（共4个小题，每小题4分，共16分） 16. 计算：()()91121--+-． 17. 计算：1512412246??--?

?． 18. 计算：()3

1233

-+-+-÷

．

19. 计算：2

2323223????

-?-?--?? ???????

．

四、解答题（共3个小题，每小题5分，共15分） 20. 解方程：6+1=45x x -． 21. 解方程：()()23311x x ---=． 22. 解方程：

+221

=132

x x --．五、解答题（共4个小题，第23题5分，第24题6分，第25题5分，第26题8分，共24分）

23. 已知13

a =-，求代数式()

6213a a a a +-+-的值．

24. 已知OC 是∠AOB 内部的一条射线，∠AOC ＝30°，

OE 是∠COB 的平分线．

（1）如图1，当∠COE ＝40°时，求∠AOB 的度数；（2）当OE ⊥OA 时，请在图2中画出射线OE ，OB ，并直接

写出∠AOB 的度数．

25. 列方程解应用题：

据林业专家分析，树叶在光合作用后产生的分泌物能够吸附空气中的一些悬浮颗粒物，具有滞尘净化空气的作用．已知一片银杏树叶一年的平均滞尘量比一片国槐树叶一

O 图1

B C

图2

年的平均滞尘量的2倍少4毫克，如果11片银杏树叶一年的平均滞尘量与20片国槐树叶一

年的平均滞尘量相同，那么一片国槐树叶一年的平均滞尘量是多少毫克？

26.已知数轴上三点M，O，N对应的数分别为－3，0，1，点P为数轴上任意一点，其对

应的数为x．

（1）如果点P到点M，点N的距离相等，那么x的值是______________；

（2）数轴上是否存在点P，使点P到点M，点N的距离之和是5？若存在，请直接写出x的值；若不存在，请说明理由．

（3）如果点P以每分钟3个单位长度的速度从点O向左运动时，点M和点N分别以每分钟1个单位长度和每分钟4个单位长度的速度也向左运动，且三点同时出发，

那么几分钟时点P到点M，点N的距离相等？

分）18

五、解答题（共4个小题，第2326题8分，共24分） 23．解：原式＝2

626a a a +--+ ＝232a -．当13

a =-时，

原式＝2

1323??

?-- ???

2- ． ……5分

24．解：（1）∵OE 是∠∴∠COB ＝2∵∠COE ＝40∴∠COB ＝80∵∠AOC ＝30°，

∴∠AOB ＝∠AOC ＋∠COB ＝110°． ……3分（2）如右图： ……5分

∠AOB ＝150°． ……6分

25．解：设一片国槐树叶一年的平均滞尘量为x 毫克，则一片银杏树叶一年的平均滞尘量为

()24x -毫克．根据题意列方程，得 ……1分

()112420x x -=． ……3分

解这个方程，得 22x =． ……4分答：一片国槐树叶一年的平均滞尘量为22毫克． ……5分

26．解：（1）－1． ……1分

（2）存在符合题意的点P ，此时 3.5x =-或1.5． ……4分

（3）设运动t 分钟时，点P 对应的数是3t -，点M 对应的数是3t --，点N 对应的

数是14t -．

①当点M 和点N 在点P 同侧时，因为PM ＝PN ，所以点M 和点N 重合，

所以314t t --=-，解得4

t =

，符合题意． ……6分 ②当点M 和点N 在点P 两侧时，有两种情况．

情况1：如果点M 在点N 左侧，()3332PM t t t =----=-．

()()1431PN t t t =---=-．

因为PM ＝PN ，所以321t t -=-，解得2t =．

此时点M 对应的数是5-，点N 对应的数是7-，点M 在点N 右侧，不符

合题意，舍去．

情况2：如果点M 在点N 右侧，()()31423PM t t t =---=-．

1t -

．

因为PM 2．

此时点M 7，点M 在点N 右侧，符合

题意．

到点M ，点N 的距离相等． ……8分

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