2010眉山中考的数学题答案
谢谢了哈要具体的解题过程
推荐回答(1个)
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眉山市2010年初中学业暨高中阶段教育学校招生考试
数学试卷参考答案及评分意见
说明:
一、如果考生的解法与下面提供的参考解答不同,凡正确的,一律记满分;若某一步出现错误,则可参照该题的评分意见进行评分.
二、评阅试卷,不要因解答中出现错误而中断对该题的评阅,当解答中某一步出现错误,影响了后继部分但该步以后的解答未改变这一道题的内容和难度,在未发生新的错误前,可视影响的程度决定后面部分的记分,这时原则上不应超过后面部分应给分数之半,明显笔误,可酌情少扣;如有严重概念性错误,就不记分.在这一道题解答过程中,对发生第二次错误的部分,不记分.
三、涉及计算过程,允许合理省略非关键步骤.
四、以下各题解答中右端所注分数,表示考生正确做到这一步应得的累加分数.
A 卷
一、选择题:本大题共12小题,每小题3分,共36分.
1.D 2.A 3.B 4.C 5.D 6.C
7.C 8.A 9.B 10.D 11.D 12.B
二、填空题:本大题共6个小题,每小题3分,共18分.
13.30 14. 15.50° 16.17 17. 18.10
三、本大题共2个小题,每小题6分,共12分.
19.解:原式= ……………………(4分)
= ………………………………(6分)
20.解: ………………(2分)
解这个整式方程得: ………………(4分)
经检验: 是原方程的解.
∴原方程的解为 .……………………(6分)
四、本大题共3个小题,每小题8分,共24分.
21.解:(1)四边形OCED是菱形.…………(2分)
∵DE‖AC,CE‖BD,
∴四边形OCED是平行四边形,…………(3分)
又 在矩形ABCD中,OC=OD,
∴四边形OCED是菱形.…………………(4分)
(2)连结OE.由菱形OCED得:CD⊥OE, …………(5分)
∴OE‖BC
又 CE‖BD
∴四边形BCEO是平行四边形
∴OE=BC=8……………………………………………(7分)
∴S四边形OCED= ……………(8分)
22.解:(1)列表如下:
小敏
1 2 3 4
1 1 2 3 4
2 2 4 6 8
3 3 6 9 12
………………………………………………………(2分)
总结果有12种,其中积为6的有2种,
∴P(积为6)= . ………………………………………(4分)
(2)游戏不公平,因为积为偶数的有8种情况,而积为奇数的有4种情况.(6分)
游戏规则可改为:若积为3的倍数,小敏赢,否则,小颖赢. ………(8分)
注:修改游戏规则,应不改变已知数字和小球、卡片数量.其他规则,凡正确均给分.
23.解:在Rt△AFG中,
∴ ……………(2分)
在Rt△ACG中,
∴ …………(4分)
又
即
∴ …………………………(7分)
∴ (米)
答:这幢教学楼的高度AB为 米.(8分)
B 卷
一、本大题共2个小题,每小题9分,共18分.
24.解:(1)设购买甲种鱼苗x尾,则购买乙种鱼苗 尾,由题意得:
………………………………………(1分)
解这个方程,得:
∴
答:甲种鱼苗买4000尾,乙种鱼苗买2000尾. …………………(2分)
(2)由题意得: ……………………………(3分)
解这个不等式,得:
即购买甲种鱼苗应不少于2000尾. ………………………………(4分)
(3)设购买鱼苗的总费用为y,则 (5分)
由题意,有 ………………………(6分)
解得: …………………………………………………………(7分)
在 中
∵ ,∴y随x的增大而减少
∴当 时, .
即购买甲种鱼苗2400尾,乙种鱼苗3600尾时,总费用最低.………(9分)
25.(1)证明:∵Rt△AB C 是由Rt△ABC绕点A顺时针旋转得到的,
∴AC=AC ,AB=AB ,∠CAB=∠C AB ………………(1分)
∴∠CAC =∠BAB
∴∠ACC =∠ABB ……………………………………(3分)
又∠AEC=∠FEB
∴△ACE∽△FBE ……………………………………(4分)
(2)解:当 时,△ACE≌△FBE. …………………(5分)
在△ACC中,∵AC=AC ,
∴ ………(6分)
在Rt△ABC中,
∠ACC+∠BCE=90°,即 ,
∴∠BCE= .
∵∠ABC= ,
∴∠ABC=∠BCE ……………………(8分)
∴CE=BE
由(1)知:△ACE∽△FBE,
∴△ACE≌△FBE.………………………(9分)
二、本大题共1个小题,共12分.
26.解:(1)由题意,可设所求抛物线对应的函数关系式为 …(1分)
∴
∴ ……………………………………………………………(3分)
∴所求函数关系式为: …………(4分)
(2)在Rt△ABO中,OA=3,OB=4,
∴
∵四边形ABCD是菱形
∴BC=CD=DA=AB=5 ……………………………………(5分)
∴C、D两点的坐标分别是(5,4)、(2,0). …………(6分)
当 时,
当 时,
∴点C和点D在所求抛物线上. …………………………(7分)
(3)设直线CD对应的函数关系式为 ,则
解得: .
∴ ………(9分)
∵MN‖y轴,M点的横坐标为t,
∴N点的横坐标也为t.
则 , ,……………………(10分)
∴
∵ , ∴当 时, ,
此时点M的坐标为( , ). ………………………………(12分)
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