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中考数学及格冲刺试卷
一、填空题(每题 3 分,共 30 分)
1、方程 x-3 =7 的解是 .
2、当 x____________时,二次根式 32 x 有意义
3、已知函数 y=kx+b,当 x=2 时,y=-2;当 x=-
2
1 时,y=3,则函数解析式为____ __.
4、一汽车在 a 小时内走 x 千米,用同样的速度,b 分钟可以走 千米.
5、等腰三角形底边长 10cm,周长为 36cm,则一底角的余弦值为 .
6、等腰三角形一边等于 5,另一边等于 8,则周长是 ;
7、0.1 是数 a 的立方根,则 a=_________.
8、在数据-1,0,4,5,8 中插入一个数 x,使这组数据的中位数为 3,则 x=_______.
9、关于 x 方程(k-1)x2-4x+5=0 有两个不相等的实数根,则 k 取值范围为 ;
10、已知不等式 mx-n>0,当 m__ _时,解集是 x<
m
n ;
二、选择题(每题 3 分,共 30 分)
1、当 a<0 时,化简|2a- 2a |的结果是( )
(A)a (B)-a (C)3a (D)-3a
2、若点 P(a,b)在第四象限,则点 Q(-a,b-4)在象限是( )
(A)第一象限 (B)第二象限 (C)第三象限 (D)第四象限
3、矩形的边长为 10 cm 和 15 cm,其中一内角平分线分长边为两部分,这两部分的长为( )
(A)6 cm 和 9 cm (B)5 cm 和 10 cm
(C)4 cm 和 11 cm (D)7 cm 和 8 cm
4、如图,在 Rt△ABC 中,CD 是斜边 AB 上的高,则图中的相似三角形共有( )
(A)1 对 (B)2 对 (C)3 对 (D)4 对
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拟建中的阜阳市中国XXXX国际服装城依托中国XX国际服装城,拟建成为皖西北地区规格最高、规模最大、商务及功能最优的现代化、国际化服装专业市场,建设规模占地约128亩,建筑面积约25万平方米,项目总投资约5亿元人民币。经过1--2年的开发建设,能达到正常运营期的中国XX.XX国际服装城将吸纳全国和世界各地的经销商、代理商企业物流总部等500—1000家,预计年交易额实现68亿元人民币,每年实现税收8000—10000万元人民币,每年实现利润1.68亿元人民币,实现就业和创业人员约2万以上。
经济增长:在优化结构、提高效益和降低消耗的基础上,“十一五”期市GDP年均增长12%以上(现14%以上),2010年达到650亿元以上,人均GDP力争1000美元;财政收入达到80亿元;规模以上工业销售达到550亿以上;全社会固定资产投资年均长20%,五年累计1000亿元;社会消费品销售额260亿元,年均增长20%,外贸进口总额2.5亿美元,年均增长15%;五年累计招商引资突破500亿元,力争达到600亿元
5、若|2 x-5|=5-2 x,则 x 的取值是( )
(A)x>
2
5 (B)x≥
2
5 (C)x<
2
5 (D)x≤
2
5
6、从 1,2,3,4 这四个数字中,任意抽取两个不同数字组成一个两位数,则这个两位数能被 3 整除的概率是( )
(A) 1
3
(B) 1
4
(C) 1
6
(D) 1
12
7、下列运算正确的是( )
(A)(-2ab)·(-3ab)3=-54a4b4 (B)5x2·(3x3)2=15x12
(C)(-0.1 b)·(-10b2)3=-b7 (D)(2×10n)(
2
1 ×10n)=102n
8、某商店出售下列四种形状的地砖:①正三角形;②正方形;③正五边形;④正六边形.若只选购其中一种地砖镶嵌
地面,可供选择的地砖共有( ).
(A)4 种 (B)3 种 (C)2 种 (D)1 种
9、将抛物线
2y x 向左平移 2 个单位后,得到的抛物线的解析式是( )
(A)
2( 2)y x (B)
2 2y x (C)
2( 2)y x (D)
2 2y x
10、四边形 ABCD 中,对角线 AC、BD 相交于点 O,给出下列四组条件:①AB∥CD,AD∥BC;②AB=CD,AD=BC;③AO=CO,
BO=DO;④AB∥CD,AD=BC.其中一定能判断这个四边形是平行四边形的条件共有( )
(A)1 组 (B)2 组 (C)3 组 (D)4 组
三、解答题:
1、某校去年一年级男生比女生多 80 人,今年女生增加 20%,男生减少 25%,结果女生又比男生多 30 人,求去年一年
级男生、女生各多少人.(6 分)
2、按下列条件,求二次函数的解析式:
(1)图象经过 A(0,1),B(1,3),C(-1,1);
(2)图象经过(3,1),且当 x=2 时有最大值为 3.(8 分)
3、已知:如图,矩形 ABCD 中,E、F 是 AB 上的两点,且 AF=BE.求证:∠ADE=∠BCF.(8 分)
4、已知满足不等式 3(x-2)+5<4(x-1)+6 的最小整数是方程 2 x-ax=3 的解,求代数式 4a-
a
14 的值.(8 分)
拟建中的阜阳市中国XXXX国际服装城依托中国XX国际服装城,拟建成为皖西北地区规格最高、规模最大、商务及功能最优的现代化、国际化服装专业市场,建设规模占地约128亩,建筑面积约25万平方米,项目总投资约5亿元人民币。经过1--2年的开发建设,能达到正常运营期的中国XX.XX国际服装城将吸纳全国和世界各地的经销商、代理商企业物流总部等500—1000家,预计年交易额实现68亿元人民币,每年实现税收8000—10000万元人民币,每年实现利润1.68亿元人民币,实现就业和创业人员约2万以上。
经济增长:在优化结构、提高效益和降低消耗的基础上,“十一五”期市GDP年均增长12%以上(现14%以上),2010年达到650亿元以上,人均GDP力争1000美元;财政收入达到80亿元;规模以上工业销售达到550亿以上;全社会固定资产投资年均长20%,五年累计1000亿元;社会消费品销售额260亿元,年均增长20%,外贸进口总额2.5亿美元,年均增长15%;五年累计招商引资突破500亿元,力争达到600亿元
5、如图,在△ABC 中,∠ACB=90°,∠A=30°,BC=2.将△ABC 绕点 C 按顺时针方向旋转 n 度后得到△EDC,此时点 D 在 AB 边上,
斜边 DE 交 AC 边于点 F.
(1)求 DC 的长和旋转的角度 n;
(2)求图中阴影部分的面积.(10 分)
答案:
一、填空题
题号 1 2 3 4 5 6 7 8 9 10
答案 10 x≥3/2 Y=-2x+2 Xb/60a 18 或 21 5/9 0.001 2 k≤9/5 m<0
二、选择题
题号 1 2 3 4 5 6 7 8 9 10
答案 D C B C D A D B A C
三、解答题
1、1.2x-0.75(x+80)=30
解得 x=200
所以男生 280 人,女生 200 人
2、(1)y=x2+x+1
(2)y=2(x-2)2+3
3、证明:∵四边形 ABCD 是矩形,
∴AD=BC,∠A=∠B=90°.
∵AF=BE,
∴AF-EF=BE-EF.即 AE=BF.
在△ADE 和△BCF 中,
拟建中的阜阳市中国XXXX国际服装城依托中国XX国际服装城,拟建成为皖西北地区规格最高、规模最大、商务及功能最优的现代化、国际化服装专业市场,建设规模占地约128亩,建筑面积约25万平方米,项目总投资约5亿元人民币。经过1--2年的开发建设,能达到正常运营期的中国XX.XX国际服装城将吸纳全国和世界各地的经销商、代理商企业物流总部等500—1000家,预计年交易额实现68亿元人民币,每年实现税收8000—10000万元人民币,每年实现利润1.68亿元人民币,实现就业和创业人员约2万以上。
经济增长:在优化结构、提高效益和降低消耗的基础上,“十一五”期市GDP年均增长12%以上(现14%以上),2010年达到650亿元以上,人均GDP力争1000美元;财政收入达到80亿元;规模以上工业销售达到550亿以上;全社会固定资产投资年均长20%,五年累计1000亿元;社会消费品销售额260亿元,年均增长20%,外贸进口总额2.5亿美元,年均增长15%;五年累计招商引资突破500亿元,力争达到600亿元
AD=BC
∠A=
∠B
AE=BF
∴△ADE-≌△BCF.
∴∠ADE=∠BCF.
4、10
5、解:(1)根据旋转的性质可得 DC=CB=2,
∵∠ACB=90°,∠A=30°,
∴∠B=90°-30°=60°,
∴△BCD 是等边三角形,
∴旋转的角度 n=∠BCD=60°;
(2)∵∠ACB=90°,∠A=30°,BC=2,
∴AB=2BC=4, ∴AD=4-2=2,∴AD=CD,
∴∠A=∠DCA=30°,又∵∠EDC=∠B=60°,∴∠CFD=180°-30°-60°=90°,∴DF⊥AC,∵BC=2,AB=4,∴AC=2 3
∴AF=FC=
AC= 3
∴DF=1,
阴影部分的面积=
1/2AF•DF= 3 /2
内部资料
仅供参考
内部资料
仅供参考
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