配套习题- 如何确定一元二次方程的整数解（二） -【青果学院】

1/5单选题

难度：

1.已知：关于x的一元二次方程x²-2（2m-3）x+4m²-14m+8=0，若12＜m＜40的整数，且方程有两个整数根，则m的值为（）.

A	16
B	18
C	24
D	36

正确答案：Qw==

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

2/5单选题

难度：

2.若关于x的一元二次方程kx²+（3k+1）x+3=0的两个根均为整数，且k为正整数，则k的值为（）

A	1
B	2
C	3
D	4

正确答案：QQ==

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

3/5单选题

难度：

3.若m为正整数，且关于x的一元二次方程mx²-（3m-2）x+2m-2=0有两个不相等的整数根，则m=（）

A	1
B	2
C	3
D	4

正确答案：QQ==

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

4/5单选题

难度：

4.已知△ABC的一条边BC的长为5，另两边AB、AC的长是关于x的一元二次方程x²-（2k+3）x+k²+3k+2=0的两个实数根，k为（）时，△ABC是以BC为斜边的直角三角形；

A	-5
B	2
C	2或-5
D	4

正确答案：Qg==

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

5/5单选题

难度：

5.已知关于x的一元二次方程x²+（m+3）x+m+1=0. 当整数m为（）时，原方程的根也是整数

A	-1
B	-1，-2
C	-2
D	-2，-3

正确答案：QQ==

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