名校最后冲刺模拟一(生版)

名校最后冲刺模拟一

你的姓名： 目标分数： 最终得分： 解决下列各题，并写上必要的解题步骤（每题8分，共15题，满分120分）

（请认真对待，注意书写，每次课都要当做实战来对待！糟糕的习惯可以毁掉你！优秀的习惯可以成就你！）

1.计算:=÷-?+?

2582.432.025

88.6 .

2. 计算:=+

--+

31

21131211 .

3. 以下面16个*为顶点可以连成多少个正方形？

* * * *

* * * *

* * * *

* * * *

4. 在一张足够长的纸条上从左到右依次写上1到1999这1999个自然数，然后从左到右每隔三位点一个逗号：123,456,789,101,112,……，那么第100个逗号前的那个数字是多少？

5. 将37分为甲、乙、丙三个数，使甲、乙、丙三个数的乘积为1440，并且甲、乙两数的积比丙数的3倍多12，求甲、乙、丙各是几？

6. 长方形ABCD 的面积为362cm ，E 、F 、G 为各边中点，H 为AD 边上任意一点，问阴影部分面积是多少？

E

7. 如下图，六边形ABCDEF 中，AB ED =，AF CD =，BC EF =，且有AB 平行于ED ，AF 平行于CD ，BC 平行于EF ，对角线FD 垂直于BD ，已知24FD =厘米，18BD =厘米，请问六边形ABCDEF 的面积是多少平方厘米？

F

E A B

D C

8. 砖厂原来有一垛砖，每天都生产相同数量的一批砖，用汽车往外运砖，用16辆汽车32天可以运完，用24辆车16天可以运完，那么现在40辆车几天运完？

9. 四个学生每人做了一张贺年片，放在桌子上，然后每人去拿一张，但不能拿自己做的一张．问：一共有多少种不同的方法？

10. 有一类自然数，从第三个数字开始，每个数字都恰好是它前面两个数字之和，直至不能再写为止，如257，1459等等，这类数共有个.

11. A、B 两地相距7200 米，甲、乙分别从A，B 两地同时出发，结果在距B 地2400 米处相遇．如果乙的速度提高到原来的3倍，那么两人可提前10分钟相遇，则甲的速度是每分钟行多少米？

12. 甲、乙两人同时从A地出发到B 地，经过3 小时，甲先到B 地，乙还需要1 小时到达B 地，此时甲、乙共行了35 千米．求A， B 两地间的距离．

13. 一个人的年龄用十进制数和三进制数表示，若在十进制数末尾添个“0”就是三进制数，求此人的年龄．

14. 在8进制中，一个多位数的数字和为十进制中的68，求除以7的余数为多少？

15. 右图是由40个小正方形组成的图形，能否将它剪裁成20个相同的长方形？

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