配套习题- 如何利用零点分段法化简绝对值 -【青果学院】

1/5单选题

难度：

1.若x的绝对值小于1，则|x+1|+|x-1|的值等等于（　　）

A	3
B	2
C	1
D	0

正确答案：Qg==

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2/5单选题

难度：

2.当-5≤x≤7 时，|x+5|+|x-7|+|x+10|去掉绝对值后，化简为（）

A	3x+8
B	x+22
C	12-x
D	- x+22

正确答案：Qg==

6Kej77ya5b2TLTXiiaR44omkNyDml7bvvIw8YnI+eCs14omlMOOAgXgtN+KJpDDjgIF4KzEw4omlMO+8jDxicj7iiLR8eCs1fCt8eC03fCt8eCsxMHw9eCs1Le+8iHgtN++8iSt4KzEwPXgrMjLvvIw8YnI+5pWF6YCJQuOAgg==

3/5单选题

难度：

3.运用零点分段法将|3x-2|+|2x+3|化简后，可得结果①5x+1，②x-5，③5-x，④-1-5x。以上结论正确的有（）

A	①，②，④
B	②，③，④
C	①，②，③，④
D	①，③，④

正确答案：RA==

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

4/5单选题

难度：

4.观察下列代数式①x-8，②-x+8，③-3x+8，④-3x，其中运用零点分段法将2|x-2|-|x+4|化简后，能作为化简结果的代数式有（ )

A	①，②，③，④;
B	①，③，④;
C	①，②，④;
D	②，③，④。

正确答案：Qw==

6Kej77ya5LukeC0yPTDvvIx4KzQ9MO+8mzxicj7op6Plvpd4PTLvvJt4PS0077ybPGJyPuW9k3jvvJwtNOaXtu+8jDJ8eC0yfC18eCs0fD3vuaMy77yIeC0y77yJK++8iHgrNO+8iT3vuaMyeCs0K3grND3vuaN4KzjvvJs8YnI+5b2TLTTiiaR44omkMuaXtu+8jDJ8eC0yfC18eCs0fD3vuaMy77yIeC0y77yJ77mj77yIeCs077yJPe+5ozJ4KzTvuaN477mjND3vuaMzeO+8mzxicj7lvZN477yeMuaXtu+8jDJ8eC0yfC18eCs0fD0y77yIeC0y77yJ77mj77yIeCs077yJPTJ477mjNO+5o3jvuaM0PXjvuaM477ybPGJyPuaVhemAiUPjgII=

5/5单选题

难度：

5.2≤x＜6绝对值方程||x-2|-|x-6||=l的不同实数解共有多少个（　　）

A	2
B	4
C	1
D	0

正确答案：QQ==

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