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最新-高中数学第二册(上)含有绝对值的不等式同步练习 精品

高中数学第二册(上)含有绝对值的不等式同步练习 班级 1.不等式 3x ? 4 ? 2 的整数解的个数为( 学号 ) 姓名 A0 B1 C 2 ) D 大于 2 2.若两实数 x, y 满足 xy ? 0 ,那么总有( A x? y ? x? y B x? y ? x? y ) C x? y ? x ? y D x? y ? y ? x 3.已知 a ? b, a ? b ? 0 ,那么( A a ?b B 1 1 ? a b C a?b ) D 1 1 ? a b 4.不等式 x ? 3 ? x ? 1 的解是( A 2? x?5 B x ? 36 C x?2 ) D 2? x?3 5.已知 a ? c ? b , 且 abc ? 0, 则( A a ?b?c B a ? c?b C a?b?c ) D a ?b?c 2 6.不等式 x ? 5 x ? 6 的解集为( A {x x ? ?1或 x ? 6} B {x 2 ? x ? 3} ) C? D {x x ? ?1或 2 ? x ? 3 或 x ? 6} 7.若 lg a ? lg b ? 1 ,那么( A 0 ? a ? 10b 8.函数 y ? B 0 ? b ? 10 a C 0 ? a ? 10b 或 0 ? b ? 10 a ) D b ? a ? 10b 10 x 2 ? x ? 2 的定义域是( B (??,?2] ? [2,??) A [?2,2] C (??,?1] ? [1,??) D [2,??) . 9.不等式 a ? b ? a ? b 取等号的条件是 10.不等式 2x ? 1 ? 5 ? x 的解集是 , a ? b ? a ? b 取等号的条件 11.如果不等式 1 1 ? 2 和 x ? 同时成立,则 x 的取值范围是 x 3 12.不等式 x ?1 1? x 的解是 ? x x 1 (x ? )0 2 的定义域是 13.函数 y ? x ?x 15.解下列不等式:(1) x ? 14.不等式 1 ? x ? 3 ? 3 的解集是 1 x (2) x ? 1 ? x ? 2 ? 3 16.解不等式: log 1 2 ? x ? log 1 1 ? x 4 4 17.已知 1 ? ab ? 1, ,求证: {a} 和 {b} 中必有一个大于 1,而另一个小于 1. a?b 18.使不等式 x ? 4 ? x ? 3 ? a 有解的条件是( ) A a ?1 B 1 ? a ?1 10 C a? 1 10 D 0?a? 1 10 ) 19. f ( x) ? 3x ? 1( x ? R) ,当 x ? 1 ? b 有 f ( x) ? 4 ? a(a, b ? R ? ), 则 a , b 满足( A b? a 3 B a? b 3 C b? a 3 ) D a? b 3 x?0 ? ? 3? x 2? x 20.不等式组 ? 的解集是( ? ? 3 ? x 2 ? x ? A {x ? 2 ? x ? 0} B {x ? 5 ? x ? 0} 2 C {x ? 6 ? x ? 0} D {x ? 3 ? x ? 0} 21.当 0 ? x ? 1 时,比较 loga (1 ? x) 与 loga (1 ? x) 的大小. (a ? 0, a ? 1)

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