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2020年天津市高考数学试卷
天津 高三 高考真题 2020-07-11 2669次

一、单选题添加题型下试题

难度: 0.94 | 2020·天津高考真题
1. 设全集eqIdbdbec558ccf24b269fd48ddb6648ed2b,集合eqId6e8aa6965515448a8b67b6dfabd24bbe,则eqIdbf9ec6e6ccd84590945fc18534598944(   )
A.eqId7fe420c4c03945aba8378591f058196dB.eqId23d3a8d0d36e4d1db815a26c02a8c995C.eqIdeb7a94fed9fe413fa1e9be14c7e6b4a9D.eqId58f19a87913e4e90bbd863859f0c91f9
更新:2020/07/11 |题型:单选题 |组卷:612|引用[1]
2. 设eqIdca4ab76061b14cdfbb5b2cb8cf37b9c0,则“eqId84baf5260a714df9a42e9e3daf01ca4a”是“eqId22ca06b61f5b41d2937285cec2e187ef”的(   )
A.充分不必要条件B.必要不充分条件
C.充要条件D.既不充分也不必要条件
难度: 0.85 | 2020·天津高考真题
3. 函数eqId08eab7b3bd01489d8b505eddb853bafb的图象大致为(   )
A.说明: figureB.说明: figure
C.说明: figureD.说明: figure
更新:2020/07/11 |题型:单选题 |组卷:663|引用[1]
难度: 0.85 | 2020·天津高考真题
4. 从一批零件中抽取80个,测量其直径(单位:eqId647000b8f93f412b9722e38534e6d4b7),将所得数据分为9组:eqId1a1d60ea2955414fb6dd072e34198994,并整理得到如下频率分布直方图,则在被抽取的零件中,直径落在区间eqId13556cd05ba84ef29b727735e3fb6335内的个数为(   )
说明: figure
A.10B.18C.20D.36
更新:2020/07/11 |题型:单选题 |组卷:509|引用[1]
难度: 0.85 | 2020·天津高考真题
5. 若棱长为eqId7bcd573cee334383ad72cc4b179fcfb3的正方体的顶点都在同一球面上,则该球的表面积为(   )
A.eqIdfceb10da8b63490dae4fdc016cf362d8B.eqIde36506e829e6480e9753236520e2af52C.eqId5dcc3f21683f4fb6884a864497a95032D.eqIdc650ca45c19645dcbcaf7939b4cb4fb2
更新:2020/07/11 |题型:单选题 |组卷:618|引用[1]
难度: 0.85 | 2020·天津高考真题
6. 设eqId74aa8a83ae1c4df8a35274d90f310878,则eqId0ce93bfa1f6a4a23b3258410dd19847a的大小关系为(   )
A.eqIdde23c9bee5f2497a98f967afa9b73a7aB.eqId98df60d61acf40a38ea6e88af8316379C.eqId2cf6c501fcaf451c89bbbe8a7b5da7adD.eqId0d0cc8a6003c4e21bacd608a53c711cf
更新:2020/07/11 |题型:单选题 |组卷:666|引用[1]
难度: 0.65 | 2020·天津高考真题
7. 设双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的方程为eqId0f14428848fa4e8cbdaccdcb9711090d,过抛物线eqIdd050af449075401299cc78c647d310e8的焦点和点eqId2dba1a255c104642864649df31db754e的直线为eqId417e80f1349244878d01fe90e0891f5f.若eqId19a4eb16029e4550a14f2afe4741a3c3的一条渐近线与eqId417e80f1349244878d01fe90e0891f5f平行,另一条渐近线与eqId417e80f1349244878d01fe90e0891f5f垂直,则双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的方程为(   )
A.eqId3d361b1a8e694b6bb40194ca8ccae144B.eqId433ad569850549eaaa7185e9e37b3a93C.eqIda65006d4094c41ebac3a12b1887f6a8cD.eqId2ddfff48002e4fe4999722cc918c6a08
更新:2020/07/11 |题型:单选题 |组卷:493|引用[1]
难度: 0.65 | 2020·天津高考真题
8. 已知函数eqIdba10a9ee4300460d8ad4a230f8bc48f1.给出下列结论:
eqId6f13759e937144069819aed2ae5a1057的最小正周期为eqIdc12500d69e0342b3be4db149b0244a7a
eqId76d871cdcd82456a9130b99a58709731eqId6f13759e937144069819aed2ae5a1057的最大值;
③把函数eqId21418c9e87ef4f30af18655eb0f1785a的图象上所有点向左平移eqId87a9bbb6dd564186905f2064b8c22182个单位长度,可得到函数eqId144eff5c0e4649138a21f2b1b6a06907的图象.
其中所有正确结论的序号是
A.①B.①③C.②③D.①②③
更新:2020/07/11 |题型:单选题 |组卷:689|引用[1]
难度: 0.65 | 2020·天津高考真题
9. 已知函数eqIdbf54f4cf399d4ecca32992158d9c919c若函数eqIddf2a314add47463dbe97ec0cd3d5cf41恰有4个零点,则eqId4d2187284c5d4de29906363f7d21f60f的取值范围是(   )
A.eqIda8dba8e798e14812b08de039520a6048B.eqIdb694643c318d4d208e6c0cbf7304b8bc
C.eqId055c7b06905f44a89d5f6c3aba3ebd1aD.eqId823fcf6af1ad4d25883059ad92d6ad04
更新:2020/07/11 |题型:单选题 |组卷:644|引用[1]

二、填空题添加题型下试题

难度: 0.85 | 2020·天津高考真题
10. eqIdb6e15e51d29a47a7aff44f98b1aafaee是虚数单位,复数eqIda5f43888858b4d65b126eba6b6028b0f_________
更新:2020/07/11 |题型:填空题 |组卷:463|引用[1]
难度: 0.85 | 2020·天津高考真题
11. 在eqId4b6eb0e2c355439fb2f42c38376d0938的展开式中,eqId0b730c44678b4fd48d55e32ee6108107的系数是_________
更新:2020/07/11 |题型:填空题 |组卷:487|引用[1]
难度: 0.85 | 2020·天津高考真题
12. 已知直线eqIdb06d279687ec46ec90fa1693f4f2001c和圆eqIdf1ff78dc1aec4e1a9a93f8875445915f相交于eqIdeb53cb7cb0274f7d8f111c60f824c243两点.若eqIdbaed04e740f9446eaaf659d0490b4c43,则eqIdd9026ce1966847eb86a5e13345fed583的值为_________
更新:2020/07/11 |题型:填空题 |组卷:575|引用[1]
难度: 0.65 | 2020·天津高考真题
13. 已知甲、乙两球落入盒子的概率分别为eqId49b7b111d23b44a9990c2312dc3b7ed9eqIda8012d5322b240128851ebf3cd086e12.假定两球是否落入盒子互不影响,则甲、乙两球都落入盒子的概率为_________;甲、乙两球至少有一个落入盒子的概率为_________.
更新:2020/07/11 |题型:填空题 |组卷:570|引用[1]
难度: 0.65 | 2020·天津高考真题
14. 已知eqId6dd865ff5ee342149aecbe136f1c468b,且eqId403811f936b24beb8a1e11b6d089314f,则eqId8488f6ea74b041f0b0a16d1a1c9af68d的最小值为_________.
更新:2020/07/11 |题型:填空题 |组卷:713|引用[1]
难度: 0.4 | 2020·天津高考真题
15. 如图,在四边形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId3c20bcb43af34de184ce2252a6227245eqId3ed794cbe3c4438a80ab777a49ec3935,且eqId203d4738c66e461ea6a7aab6bb71942b,则实数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的值为_________,若eqId71891062a8724584af9a2c4c77cd566e是线段eqId0627be51821d4be7b3e024a354815d64上的动点,且eqId8faa9dc7efa841cfa86509c52d18721e,则eqId42cee429414e4fb3b2399550cebc50d6的最小值为_________.说明: figure
更新:2020/07/11 |题型:填空题 |组卷:794|引用[1]

三、解答题添加题型下试题

难度: 0.65 | 2020·天津高考真题
16. 在中,角所对的边分别为.已知
(Ⅰ)求角的大小;
(Ⅱ)求的值;
(Ⅲ)求的值.
更新:2020/07/11 |题型:解答题 |组卷:823|引用[1]
难度: 0.65 | 2020·天津高考真题
17. 如图,在三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43中,eqIdc9da58267ea84edda9dce8dba1a0a6a6平面eqIdc3fde5ceea2d46e28619dce1191e4b98eqId868a16330706426dbf2e57bdf0b30337,点eqId36ebe1732a6040b79357e05ef30c0430分别在棱eqIdea82c30b37894b1bb742dee61200db07和棱eqId8f39d706a505485987ccbb3f6177d72d上,且eqId2451576200d242998f95e4f9f169e9f1为棱eqId31581e8b21734ef88d2a14232de7e7a6的中点.
说明: figure
(Ⅰ)求证:eqId343ed3be41e14508bb47e576caf04f55
(Ⅱ)求二面角eqId9b935be0f0ac42be83344b92bb0a97cd的正弦值;
(Ⅲ)求直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3与平面eqId865609fc25cf47e7a2e1519b0aa8de04所成角的正弦值.
更新:2020/07/11 |题型:解答题 |组卷:781|引用[1]
难度: 0.65 | 2020·天津高考真题
18. 已知椭圆eqId15bfbddeee0143e08c809ecf76ffb129的一个顶点为eqId016e903e34ef40b69644965a345f11b7,右焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,且eqId471afdfd09104c73888ccab8be61a432,其中eqId2efda802d5534f6d92d9f8af7aaec28b为原点.
(Ⅰ)求椭圆的方程;
(Ⅱ)已知点eqId19a4eb16029e4550a14f2afe4741a3c3满足eqId3823149f37924a489ca98e9f5bcab839,点eqId8754ce8cf7f34f04abb9a0c041f57f5c在椭圆上(eqId8754ce8cf7f34f04abb9a0c041f57f5c异于椭圆的顶点),直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3与以eqId19a4eb16029e4550a14f2afe4741a3c3为圆心的圆相切于点eqIdbedf755e0fdb4d078d6859360706b163,且eqIdbedf755e0fdb4d078d6859360706b163为线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3的中点.求直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3的方程.
更新:2020/07/11 |题型:解答题 |组卷:562|引用[1]
难度: 0.4 | 2020·天津高考真题
19. 已知eqId93e38ecd74a24cb59da79181b95bfd3a为等差数列,eqIdeeb4ca98872f4e6d91cea28f43fc0b63为等比数列,eqIdebefc50dbf24415086682d7c593dc3af
(Ⅰ)求eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(Ⅱ)记eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,求证:eqId561ee23198b34085b6a9ebf2a14c30e2
(Ⅲ)对任意的正整数eqIdf458db68122849abb588feb2e682d9ac,设eqIdfe51498b6805450d83b53b880908f8ce求数列eqId74ef5fe5183946caaee41d8974816a20的前eqId16915e0b1cb849dd911814a3ca35d611项和.
更新:2020/07/11 |题型:解答题 |组卷:727|引用[1]
难度: 0.4 | 2020·天津高考真题
20. 已知函数eqIda696f66adab54185800525e02ecf88e1eqId2c08540654864e3a8049918cdd43889ceqId6f13759e937144069819aed2ae5a1057的导函数.
(Ⅰ)当eqId97bc03f6827a4fcb8dc41b734e8c1b6b时,
(i)求曲线eqId144eff5c0e4649138a21f2b1b6a06907在点eqId58f537310d654e068790cb3cebc56e79处的切线方程;
(ii)求函数eqIdd09520aa47804820ba15ec6db63c5247的单调区间和极值;
(Ⅱ)当eqId61980a5335684647841932912ded8d74时,求证:对任意的eqIdae9941d8d13e4d8f9eb52355d684c2b5,且eqId8bf1bebbceb84bd1b7b260f491dc0a34,有eqIdf0fcc18dc5fe48599e3e38518c3819f8
更新:2020/07/11 |题型:解答题 |组卷:627|引用[1]