2023高考数学--集合专题练习（含答案）.doc

2023高考数学集合专题练习有答案一单选题1已知集合119860119909119910lg21199091198611199101199101199091则119877119860119861A12B12C0D022已知集合Ax3xx20Bx4x1则AABx4x3BABRCBADAB3已知集合1198721199091199091则119872119873A120567B1199091199094已知集合11986010121198611199091119909A12B2C10D125设UR11986011990911990901198611199091199091则119860119862119880119861A11990911990916若集合Axmx22xm0mR中有且只有一个元素则m的取值集合是A1B1C01D1017集合11986011990911199091119861119909119886111990921198861若119861119860则实数119886的取值范围是A1B1C01D018集合A101的子集个数是A5B8C16D329已知元素a0123且a123则a的值为A0B1C2D310已知非零向量119886119887119888满足119886211988811988721198880且不等式119886119887119886119887120582119888恒立则实数120582的最大值为A2B3C4D511已知全集119880119877集合1198601311986211988011986114则119860119861A11B13C13D1412已知集合119872456119873123定义119872119873119909119909119898119899119898119872119899119873则集合119872119873的所有真子集的个数为A32B31C30D以上都不正确二填空题13已知集合11986013119886211986111198862若119861119860则实数a的值为14已知集合Pxx21Ma若PMP则a的取值范围是15设集合119872120572120573120574其中120572120573120574是复数若集合119872中任意两数之积及任意一个数的平方仍是119872中的元素则集合11987216已知集合119860111198861211988611986111198871198872则119860119861的充要条件是三解答题17已知集合Axx24x30Bxlog2x1I求ABRBAII若x1xaA求实数a的取值范围18已知集合Ax2x5Bxm1x2m1若BA求实数m的取值范围19设全集为119877集合11986011990911990922119909311990910集合1198611199091198981若1198981求集合1198771198601198771198612若集合119860119861满足119861119860求实数119898的取值范围20已知集合Pxx23xb0Qxx1x23x401当b4时写出所有满足条件PMQ的集合M2若PQ求实数b的取值范围答案1D2A3D4D5C6D7A8B9A10C11C12B132141115101或1123211989416119886341198871217解119860119909119909241199093011990911199093119861119909log211990911199091199092则1198601198611199092若1199091则需11988611198863118解Ax2x5Bxm1x2m1且BA若B则m12m1解得m若B则m12m1即m2由BA得119898211989812211989815解得2m3由得m3实数m的取值范围是mm3191解集合119860中119909221199093119909101199093119909111990910根据高次不等式解得119909113当1198981时集合11986111990913则119877119860119877119861113解若满足119861119860当集合119861时即11989841198981时解得11989813当119861时分两种情况第一种119898综上所述119898131201解集合Qxx1x23x40xx1x4x10114当b4时集合P再由PMQ可得M是Q的非空子集共有2317个分别为1141114141142解PQ对于方程x23xb0当P94b0时有1198879494b0时P方程x23xb0有实数根且实数根是114中的数若1是方程x23xb0的实数根则有b4此时P14不满足PQ故舍去若1是方程x23xb0的实数根则有b2此时P12不满足PQ故舍去若4是方程x23xb0的实数根则有b2此时P14不满足PQ故舍去综上可得实数b的取值范围为94