【最精细分类】2013全国中考真题分类汇编 08课_考点1 判断分式有意义和值为零的条件

【最精细分类】2013全国中考真题分类汇编 08课_考点1 判断分式有意义和值为零的条件
【最精细分类】2013全国中考真题分类汇编 08课_考点1 判断分式有意义和值为零的条件

( 2011重庆江津, 2,4分)下列式子是分式的是( ) A.2x B.1+x x C. y x +2 D. 3

x 【答案】B.

(2013,成都)要使分式1

5-x 有意义,则x 的取值范围是( ) (A )x ≠1 (B )x >1 (C )x <1 (D )x ≠-1

1.(2013?郴州)函数y =中自变量x 的取值范围是( )

(2013凉山州)如果代数式有意义,那么x 的取值范围是( )

A .x ≥0

B .x ≠1

C .x >0

D .x ≥0且x ≠1

考点:分式有意义的条件;二次根式有意义的条件.

专题:计算题.

分析:代数式有意义的条件为:x ﹣1≠0,x ≥0.即可求得x 的范围.

解答:解:根据题意得:x ≥0且x ﹣1≠0.解得:x ≥0且x ≠1.故选D .

点评:式子必须同时满足分式有意义和二次根式有意义两个条件.

分式有意义的条件为:分母≠0;

二次根式有意义的条件为:被开方数≥0.

此类题的易错点是忽视了二次根式有意义的条件,导致漏解情况.

(2013?南宁)若分式的值为0,则x 的值为( )

(2013?柳州)若分式有意义,则x 的取值范围 _____.

(2013?钦州)当x = 时,分式无意义.

考点: 分式有意义的条件.

(2013山东莱芜,4,3分)方程242

x x --=0的解为( ) A . ﹣2 B . 2 C . ±2 D . 12-

【答案】A

(2013,永州)已知

0a b a b +=,则ab ab

的值为 【答案】-1 (2011四川内江,15,5分)如果分式23273

x x --的值为0,则x 的值应为 . 【答案】-3

(2013?自贡)先化简

,然后从1、、﹣1中选取一个你认为合适的数作为a 的值代入求值.

最后选取一个合适的数代入即可.

解答:

解:

=﹣

=

=,

由于a≠±1,所以当a=时,原式==.

点评:此题考查了分式的化简求值,用到的知识点是乘法的分配律、约分,在计算时要注意

(2013?常州)函数y=中自变量x的取值范围是_____;若分式的值为0,则x=_________.

根据分式的值为0,分子等于0,分母不等于0列式计算即可得解.

解答:解:根据题意得,x﹣3≥0,

解得x≥3;

2x﹣3=0且x+1≠0,

解得x=且x≠﹣1,

所以,x=.

故答案为:x≥3;.

点评:本题主要考查了分式的值为零,需同时具备两个条件:(1)分子为0;(2)分母不为

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