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云南省曲靖市第一中学2021届高三高考复习质量监测卷(八)数学(理)试题
云南 高三 其他模拟 2021-06-10 33次 整体难度: 一般 考查范围: 集合与常用逻辑用语、复数、计数原理与概率统计、平面解析几何、数列、平面向量、算法与框图、空间向量与立体几何、函数与导数、等式与不等式、三角函数与解三角形、坐标系与参数方程、不等式选讲

一、单选题添加题型下试题

1. 设集合eqId875464119ab843cfa39dd82dcba09560eqIdc251a7c1196c458f88e8c157529ed5ebeqIde21d68443f2346db977df3215db5f1f7,则集合eqId19a4eb16029e4550a14f2afe4741a3c3中元素的个数为(   )
A.eqId8f65c930571d4ff6aa6a50029d46826eB.eqIddd4bf187d3fd47f6bcc24e568e09643eC.eqIdecb828cf922546bb9760e0ce5c95a9cbD.eqId401586f7a7f248b7904a4cfeaa2ed2f0
2. 若复数eqId03848a3da7554cadba483391c0c31853满足eqId8882e8fb81f5406ab4a2a5d70104e73eeqIdb6e15e51d29a47a7aff44f98b1aafaee是虚数单位),则eqIda594714f7f8140ae82f3573a47d9c2e9(   )
A.eqIdcd9b24a6a6e5426ab775be20461174e3B.eqId5e30b3f3682042e3bf61665ea4945f08
C.eqId2644c4fd7d684e75ae5ed93cb3581244D.2
3. eqId0b7b766aeda7497b821aa275ce7e79cc的展开式中eqIdf0913d5b3fec4d158489e7ddeaad7da1的系数为6,则实数eqId70a27b6ddf6b478285353abb3b1f3741的值为(   )
A.eqId44aff622a095465082b61837e24439e7B.eqId737d7241bd534a9b8645a03265240eb4C.eqId7b1aaf239a69442fa58e336bf69f9cdfD.eqId9f05134d6efa4c6d9ca46aaa06d577f3
解题方法
4. 不经过坐标原点的直线eqId920fcd6982ce4f4084f231ac749e583a被曲线eqId47a5b2d75fcd4b28a5a5b5cff9ec3bce截得的弦的长度等于eqId2644c4fd7d684e75ae5ed93cb3581244,则直线eqId417e80f1349244878d01fe90e0891f5f与坐标轴围成的三角形的外接圆方程是(   )
A.eqIdeff72bf7d7a647d98309c36bd6f04de4B.eqId74161ed898674b8690c2a0c284aad02f
C.eqId0f788475d202429b984118432d6e2335D.eqIdc6b841a5e0c343ddaa840cde3e112917
5. 设等比数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId92478644b29a4a0e8470a8c89d31b49f项和为eqIddb5481de79c946c0a760143297d5eade,若eqIdc76fa52010534e50926a7629658fd2b3eqId3ef2bfbb3f084a2382617254cdc86569eqId4e6988821e434e058c4c7a16d5d85587成等差数列,且eqId1a6dcc16c25c47979efc0260a894798e,则eqIdd57ddec17fb84ffaa44a3bdff63fbf4b的为(   )
A.-1B.-3C.-5D.-7
6. 已知eqId2c0155876b6f45348241e7e4db547ad9eqId38c7605ec63340589eb284a9848f6627eqId4f28c2da380e4e978ab2773fb8e09b54,若eqIdbedf755e0fdb4d078d6859360706b163点是eqId64b9b599fdb6481e9f8d9a94c102300b所在平面内一点,且eqIdca2d097c7cd940f8b124ebce78d6131e,则eqId18e19a912c254cbcaae85084370ab932的最大值等于(   )
A.eqId1c1b006090344679b56b4c75d395cd8eB.eqIdddd35c5d043e4ebeac32a99367053c68C.eqId7bba1c38f624402f8b2e3108a7f6619aD.eqId8d98a9e6a39b4a0aae01d63ec9d87523
7. 执行如图所示的程序框图,若输入的eqIda9cd3f94eb8045438f75e9daccfa7200eqId45cfebd3a8e54d27aa04ffed2e4eb0b6,则输出eqId072d7d6b911b42bc89207e72515ebf5f的值为()
说明: figure
A.eqId37705e1ef6a84bbdbe88433e75932cdfB.eqId8898c1dc81824f3098bbeae74e8f11fdC.eqId8f65c930571d4ff6aa6a50029d46826eD.eqIdecb828cf922546bb9760e0ce5c95a9cb
8. 已知eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7是空间两条不同的直线,已知eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159是空间两个不同的平面,对于如下四个命题:
①若eqIde01c1c26a9b24736b83a563bffe6e2d9eqIdcb3b273f515740b191868491cea0db81eqId6cbd007ab49741748d41c4c7bdb977b5,则eqIdd80209f32d0945f7a14a286b64d35d96;②若eqIdf098609c70d0451dbc7903caecd2d08eeqIdd02fd5ff61524385a556673ea1b32106eqId6553adfc2daa459d8d01567a19498914,则eqIdd80209f32d0945f7a14a286b64d35d96
③若eqIde01c1c26a9b24736b83a563bffe6e2d9eqIdd02fd5ff61524385a556673ea1b32106eqId6cbd007ab49741748d41c4c7bdb977b5,则eqIdf480d8cc26064a1fabcd202b5b2c9f6c;④若eqIde01c1c26a9b24736b83a563bffe6e2d9eqIdcb3b273f515740b191868491cea0db81eqIdf480d8cc26064a1fabcd202b5b2c9f6c,则eqId6553adfc2daa459d8d01567a19498914
其中正确命题的序号是(   )
A.①②③④B.②③
C.①②④D.①③④
9. 定义在实数集eqId7dcd2312d0bf4bb1befdfcc170e45791上的函数eqId4837c94ef0ff4dcf9b1dda4df363275a,如果存在函数eqIdcc4be264635b4091b7d6ecddbcd0478eeqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7为常数),使得对函数eqId4837c94ef0ff4dcf9b1dda4df363275a定义域内任意eqIda9cd3f94eb8045438f75e9daccfa7200都有eqIdfba8aadc7a224800bb6b476e0b2df567成立,那么eqId28c4c21271884dfeac29ce0222782376为函数eqId4837c94ef0ff4dcf9b1dda4df363275a的一个“线性覆盖函数”,若eqId524bc0fec7d34b3c9efcb03500ef3debeqId455ae234045a49c1b080f75e0904b0d5.若eqId28c4c21271884dfeac29ce0222782376为函数eqId4837c94ef0ff4dcf9b1dda4df363275a在区间eqIddca4c31f92e1447fb6eceb9fdf294175上的一个“线性覆盖函数”,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(   )
A.eqIdc4a0e79aae284072becf8433d1b4c224B.eqId6152e5db0df646ff94f7e2609661b73c
C.eqIdc4f2e3f89c934f02b333a1e68f558a08D.eqIdc417f3216e9e42078a0465563af4c8fb
10. 已知双曲线eqId90c68e540ea54239ac9ec1fad3ad4cc2,点eqId2381423d4cd146cab95f55527681a766是该双曲线右支上的一点.点eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e分别为左、右焦点,直线eqId17ab120dd1484145a133e6a409c8465ceqId072d7d6b911b42bc89207e72515ebf5f轴交于点eqIdbedf755e0fdb4d078d6859360706b163eqIdfb750a7534f549858c67705362af13c5的内切圆在边eqIdf95334ee237f468eb6f7b97d394bd72d上的切点为eqId75a143b898e14ccdb032561fba9da811,若eqId269dc10c6d61495e893268bbbff4fbf3,则eqId19a4eb16029e4550a14f2afe4741a3c3的离心率为(   )
A.eqId40dc1d72e6b749dc975e94a0afb15ff2B.eqId8898c1dc81824f3098bbeae74e8f11fd
C.eqId230d4386d2df427a9432c67ba0eb49c6D.eqId9a19f81624ec431494b1feeb88f12bdf
11. 设曲线eqId6241b6e14efd4ed6a9bc53b9e38f8a2a和曲线eqId92b83e1960ed4df3be38e81f1e7de4aa在它们的公共点eqId2fac9750bcfe4397899e060febb2ec10处有相同的切线,则eqId47a7f3195c814625b337a6befe85e847的值为(   )
A.eqIda86879ae304449a4a6e6461c485a1f13B.eqIdf1470514d3384b7d8224a7712ab506bd
C.eqId5c1c12d4b3ba4aaab6267324ae66c81eD.eqId8898c1dc81824f3098bbeae74e8f11fd
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