2017高考数学高三一轮复习优化重组卷理科参考答案

2017高考数学高三一轮复习优化重组卷理科参考答案
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高三一轮复习188套优化重组卷理科答案

第1页,共377页 第一章 集合与常用逻辑用语

1.集 合

【三年高考真题演练】

[2016年高考真题]

1.C [A ={0,2,4,6,8,10},B ={4,8},∴∁A B ={0,2,6,10}.]

2.D [由x 2<9解得-3<x <3,∴B ={x |-3<x <3},又因为A ={1,2,3},所以A ∩B ={1,2},故选D.]

3.B [A ={1,3,5,7},B ={x |2≤x ≤5},得A ∩B ={3,5},故选B.]

4.A [∵A ∪B ={1,3,4,5},∴∁U (A ∪B )={2,6},故选A.]

5.D [S ={x |x ≥3或x ≤2},T ={x |x >0},则S ∩T =(0,2]∪[3,+∞).]

6.C [A ={x ||x |<2}={x |-2<x <2},所以A ∩B ={x |-2<x <2}∩{-1,0,1,2,3}={-1,0,1}.]

7.C [∵A ={y |y >0},B ={x |-1<x <1},∴A ∪B =(-1,+∞),故选C.]

8.D [由A ={x |x 2-4x +3<0}={x |1<x <3},B ={x |2x -3>0}=⎩⎨⎧⎭⎬⎫x ⎪⎪⎪x >32,得A ∩B =⎩⎨⎧⎭⎬⎫x ⎪⎪⎪32<x <3=⎝ ⎛⎭

⎪⎫32,3,故选D.] 9.C [A ∩B ={x |2<x <4}∩{x |x <3或x >5}={x |2<x <3}.]

10.C [由(x +1)(x -2)<0解得集合B ={x |-1<x <2},又因为x ∈Z ,所以B ={0,1},因为A ={1,2,3},所以A ∪B ={0,1,2,3},故选C.]

11.C [由题可知,A ∩Z ={-2,-1,0,1,2},则A ∩Z 中的元素的个数为5.选C.]

12.B [由已知得Q ={x |x ≥2或x ≤-2}.∴∁R Q =(-2,2).又P =[1,3],∴P ∪∁R Q =[1,3]∪(-2,

2)=(-2,3].]

13.{-1,2} [由于B ={x |-2<x <3}.对集合A 中的4个元素逐一验证,-1∈B ,2∈B ,3∉B ,6∉B .故A ∩B ={-1,2}.]

[两年经典高考真题]

1.D [A ={…,5,8,11,14,17…},B ={6,8,10,12,14},A ∩B ={8,14},集合A ∩B 中有两个元素.]

2.D [由于2∈A ,2∈B ,3∈A ,3∈B ,1∈A ,1∉B ,故A ,B ,C 均错,D 是正确的,选D.]

3.C [由题意知∁U A ={2,4,7},选C.]

4.C [“存在集合C 使得A ⊆C ,B ⊆∁U C ”⇔“A ∩B =∅”,选C.]

5.B

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