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(答案)长沙市启慧学校暑假初二进初三测试题

(答案)长沙市启慧学校暑假初二进初三测试题
(答案)长沙市启慧学校暑假初二进初三测试题

长沙市启慧学校暑假初二进初三测试题 姓名: 分数:

一、 选择题(本题共10个小题,每个3分,共30分,)

1、下列式子中,是二次根式的是( A )

A .x (x <0) D .x

2、下列方程中,关于x 的一元二次方程的是( B )

A .2210x y --= B.2230x x --=

C .0)7(2=+-x x x D.0232=-+x

x 3、若13-m 有意义,则m 能取的最小整数值是( B )

A .m=0

B .m=1

C .m=2

D .m=3

4、已知x=1是一元二次方程x 2-2mx+1=0的一个解,则m 的值是( C )

A .0或1

B .0

C . 1

D .0或-1

5、如果)6(6-=-?x x x x ,那么( C )

A .x ≥0

B .x ≥6

C .0≤x ≤6

D .x 为一切实数

6、关于x 的一元二次方程x 2+kx-1=0的根的情况是( D )

A. 与k 的值有关

B. 有两个相等的实数根

C. 没有实数根

D. 有两个不相等的实数根

7、下列二次根式中属于最简二次根式的是( A )

A .14

B .48

C .b

a D .44+a 8、方程3x 2=27的根为( C ).

A .3

B .-3

C .±3

D .无实数根

9、化简)22(28+-得( D )

A .224-

B .22-

C .2

D .—2

10、直角三角形一条直角边和斜边的长分别是一元二次方程

060162=+-x x 的实数根,则该三角形的面积是( B )

A .24或30 B. 24 C. 48 D. 30

二、填空题(本题共8个小题,每个3分,共24分)

11、计算:①(2=__3______.②=-2)3( 3 ;

12、方程3x 2-3=2x+1的二次项系数为___3____,一次项系数为

______-2___,常数项为___-4______.

13、若x<0,则x

x x 2

+的结果是_____0____ 14、填上适当的数,使等式成立:

()22_3__9_6+=++x x x ;2

22_2__4_??? ??+=++a x a ax x 15、若最简二次根式a a 241-+与的被开方数相同,则a 的值为_____1____

16、一元二次方程ax 2

+bx+c=0(a ≠0)的求根公式是__a ac b b x 242-±-=______,条件是__042≥-ac b ______.

17、)39(4

332-?=__-9_______ 18、代数式2221

x x x ---的值为0,则x 的值为___2_____. 三、计算题:(本题共2个小题,每个6分,共12分)

19、(548+12-276)÷3; 20、2484554+-+ 22

2

453

123485=+?=÷+÷=解:原式

四、解答题:(本题共2个小题,每个8分,共16分)

21、用配方法解方程:2x 2+6x-2=0

22、用适当的方法解方程:2x 2-4x-1=0

五、解答题(本题共2个小题,每个9分,共18分)

23、已知:,x y 为实数,且3y ,化简:3y -

24、已知a 、b 、c 2

1(3)0b c +++=,求方程 02=++c bx ax 的根.

六、附加题:(本题共2个大题,每题10分,共20分)

25、.211

51522的值,求,小数部分为的整数部分为设y xy x y x ++-+

有几个?

那么符合条件的整数的根都是整数,)的方程(、已知关于a a x x a x 0121262=--+-

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