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2020届上海市松江区高三在线质量评估(4月)数学试题
适用年级:高三 试卷类型:其他 试题总数:21 浏览次数:54 上传日期:2020-05-23
1 . 若复数z=eqId694049dc461f4cf08222da1a56b52bc1,则|z|=(   )
A.1B.eqIdcd9b24a6a6e5426ab775be20461174e3C.5D.5eqIdcd9b24a6a6e5426ab775be20461174e3
更新:2020/05/23难度:0.94题型:单选题组卷:6
2 . 已知向量eqId355768dc4405494f82006419e9b1ca89eqId533d44ee003943e28879b53513c2411deqIdabb253cf12034420885753edba2cb851,则实数eqIdd33c7c1015944e2b81de4ff8695de842(    )
A.1B.eqId2411e237a6024ba5812575d3840e3781C.eqIdaf22e0e393474044907f7074dad72e76D.eqId3f80dc1620e64fd9b24ce9582dee7f28
更新:2020/05/23难度:0.85题型:单选题组卷:0
3 . 已知eqIdde3ea84683184d5fb38744c7d4b6e5f4eqId9f319b6a080d435794bdc920196bbffd,若eqId9c0d3d26d28341e5bb75b83c000f99f3,则实数a的取值范围是(    )
A.eqIdba78a23edc8a4f839fb75506dcef287bB.eqId0bd87c9a54004deabf601b10d7f5d2a5C.eqIda4c057d1931e4a3387b533879a365e96D.eqIddd23986c0de649059b5879983edba779
更新:2020/05/23难度:0.85题型:单选题组卷:25
4 . 已知椭圆eqId1f4ab26375954d8f94414e7a84e3ce59分别过点eqIdbbd16fb84be841689dfb4e5915bb55b6和点eqId8cde17e1187a4105a57edd1c4773a313,则该椭圆的焦距为(    )
A.eqIda2a0ce3781fa4c26b624f5966b7dee44B.2C.eqId7bcd573cee334383ad72cc4b179fcfb3D.eqId5d04f8a500ff47769300856360b7f29a
更新:2020/05/23难度:0.85题型:单选题组卷:0
5 . 已知实数eqIdac49ea4739614a5a8796ace532cf48d1eqId8164502d09d44990ac4f2f73ea67e37a,且eqId2d5288ad11ca4881870d4e5731c53fc9,则行列式eqId11b1fcf7240d48dfbdebfec22981f594的(    )
A.最小值是2B.最小值是eqId2644c4fd7d684e75ae5ed93cb3581244C.最大值是2D.最大值是eqId2644c4fd7d684e75ae5ed93cb3581244
更新:2020/05/23难度:0.85题型:单选题组卷:0
6 . “eqIde052bbcb4ee04c788e97e80679050379”是“直线eqIddf98aabc96e042dd93ca703363cc2a46和直线eqId6600d38fba0e4206a5548b554a530cb8平行”的(    )
A.充分不必要条件B.必要不充分条件
C.充分必要条件D.既不充分也不必要条件
更新:2020/05/23难度:0.85题型:单选题组卷:0
7 . 在直三棱柱eqId2225d5ad11f2461889c888e13e6dbe95中,己知eqId00a0b3f000a84d31bbf082a85f6fc95deqId82465d24388548f69e374883f0a955bbeqIdd96211c4e8b441f198a3345c44a5774d,则异面直线eqId514b77626c6b4ed89ac2d0f59b8fbd9ceqIdf1be33e231874b758de6b078ed4af6e8所成的角为(   )
A.eqIdb73ce9260ad9454ca530683f912ccbedB.eqId91419af9ca714ed7907821cdb1e98925C.eqId32e56abaa562458fa3d6e27b5b0965f9D.eqId663c3df802d349489a62f29ec0513248
更新:2020/05/23难度:0.85题型:单选题组卷:1644
8 . 样本中共有五个个体,其值分别是a,1,2,3,4,若样本的平均数是2,则样本的标准差是(    )
A.1B.2C.4D.eqId65021072e3ee4edc934739d219c8c5e2
更新:2020/05/23难度:0.85题型:单选题组卷:0
9 . 下列函数中,是奇函数且在其定义域内为单调函数的是(    )
A.eqIdf29392381deb41b3b9fab3c4116b4207B.eqIda637f9d478e84030a9535b20c080279aC.eqIdfc590546cedf4655968fa69577cf9c7dD.eqIdbb36e009d6564fd68e08b6929daad473
更新:2020/05/23难度:0.85题型:单选题组卷:0
10 . 给出以下四个命题:
①依次首尾相接的四条线段必共面;
②过不在同一条直线上的三点,有且只有一个平面;
③空间中如果一个角的两边与另一个角的两边分别平行,那么这两个角必相等;
④垂直于同一直线的两条直线必平行.
其中正确命题的个数是(   )
A.0B.1C.2D.3
更新:2020/05/23难度:0.85题型:单选题组卷:252
11 . 已知eqId53914ad76c334d2aa62ae96268504e9b,在eqIde3e728ccd4da4dcbab23f7d8bf1694e5eqId894bc907f6a1471b8492ea54dbadc881eqIdb7a1df3243bb435bb30a4026b315bdcaeqIda81468fe7a8c48da87180eba812a3070eqIdca19c700219248bdb9970e80e029af74这7个数中,从中任取两数,则所取的两数之和为偶数的概率为(    )
A.eqId49b7b111d23b44a9990c2312dc3b7ed9B.eqId8fe6f89b636848c084ce566376445d20C.eqId885b4932a14a4705b5c0598a9ab97956D.eqId18f48a24c0854487a88c09b6e3ca2e77
更新:2020/05/23难度:0.85题型:单选题组卷:0
12 . 下列命题中是假命题的是(    )
A.对任意的eqId48afa472ad3a4dba8751dc238685f30b,函数eqId4e356c6b3e8c489bb7e5957f90a44863都不是奇函数
B.对任意的eqId982da3835b7946d999cc8604a2ece266,函数eqId2346c60c796945329ac4118685edf8c2都有零点
C.存在eqIdc13953f2514e4c8f9c8aaaf5241c33aceqIddb63b40e4d804075ab95f964018434ec,使得eqId18746b1f51eb4baba2083157ad50ce26
D.不存在eqId4304619a9e2147ae84a1c07d4fe87d6b,使得幂函数eqIdf07d32b558794299b68c73dfffa0588beqId176a569ddabd4e4482d9ab5af6e2d6ea上单调递减
更新:2020/05/23难度:0.65题型:单选题组卷:0
13 . 函数eqId183421b585ed4751a7e92d9a8e49d969的大致图象为(    )
A.figureB.figure
C.figureD.figure
更新:2020/05/23难度:0.65题型:单选题组卷:19
14 . 如图,某景区欲在两山顶AC之间建缆车,需要测量两山顶间的距离.已知山高eqId93a2110a578845139ffdaa5e40b54845eqId71b2d3d38c524a1aa2f0fb01ed6ecb1b,在水平面上E处测得山顶A的仰角为30°,山顶C的仰角为60°,eqIdd1fc78c857fb4cd39f913cac393d9776,则两山顶AC之间的距离为(    )
figure
A.eqId1ec89e213c204662b9a55b38c5f9b821B.eqId3f6e8dd39eb547ff90ccde5a9577034eC.eqIde5b9f99eb8404c8d8d251ed72acec4beD.eqId18296c36805942f89cb583d9d249b889
更新:2020/05/23难度:0.65题型:单选题组卷:36
15 . 已知各项均为正数的数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eade,且eqId72539aa2204e4df69d266776d4beb8c7eqIdf45d407d38c24d91bec34dfe7dda309eeqId0bb8a89de9c341c3855eade1fcdd9cff,设数列eqId98cc42d4f07b4925938d1e2230a4c95c的前n项和为eqId92ed363a54bd4a8a93df9463bb3af1f5,则eqId5f3e5b24cfdf4949a8571821d6f600d7(    )
A.0B.eqId49b7b111d23b44a9990c2312dc3b7ed9C.1D.2
更新:2020/05/23难度:0.65题型:单选题组卷:0
16 . 在△ABC中,已知AB=3,AC=5,△ABC的外接圆圆心为O,则eqIdb9b2d00189dd4eeb87058d8f053b6243(   )
A.4B.8C.10D.16
更新:2020/05/23难度:0.85题型:单选题组卷:0
17 . 已知函数eqId35ff578f8c4c4a6fb14edb57e50c7d2aeqId7971d458beb445d2a627e0358d66ce22,若函数eqIda59788fd8e2741ce831f639c66ec6150的所有零点依次记为eqIde189d15728234f7785ef192cc72ac85feqId6a650bb180254677b4291c57418d764aeqIda81468fe7a8c48da87180eba812a3070eqId0926f6c8f74748d784074f0759f0f374,且eqIdb6c7e8b74fd14aeaa63f1d23eefa1ab1,则eqId4af1f902da1b45bb9737d6f91f3f3e44(    )
A.eqIdc12500d69e0342b3be4db149b0244a7aB.eqIdb8edb0ca567e45ad96b551bc9e412d28C.eqId7681784440c04c469bb134c3ea9fb53aD.eqId92f157b8b41e40e9aa3499b576ea352f
更新:2020/05/23难度:0.65题型:单选题组卷:0
18 . 设实系数一元二次方程eqId992f929bf0d84002b17f8d0d5ac3d50e在复数集C内的根为eqIdf7cbc1ad0a7b4f97b479c131b62ad882eqIdaecaf42a9cfb4a5c8c0cade53729c9ba,则由eqIde949e73ab43e42f682f4627822917fc5,可得eqIdae8919b34e994f759dd57f197058f3ebeqId90b40b58336b4207aee88edee7cda7df.类比上述方法:设实系数一元三次方程eqId956e298ed97b4473b4b6c6d9e0676884在复数集C内的根为eqIde189d15728234f7785ef192cc72ac85feqId6a650bb180254677b4291c57418d764aeqId2b48ba4c6112492987d51b451a7088c8,则eqId21e9e1d53a1b40869dae86bcc56b5664的值为(    )
A.﹣2B.0C.2D.4
更新:2020/05/23难度:0.65题型:单选题组卷:0
19 . 已知函数eqIdaae81be6d5c547a2a1113908a88f7890关于点eqIdfd05a3972e464d19984a469738998272对称,若对任意的eqIdee46bf92924d41c787e6fa1de661c2b0eqId77cf386290b142a39d8809f35b175ff6恒成立,则实数k的取值范围为(    )
A.eqId1363f9d6a6554ac0b7dd67900f813ab2B.eqId6a2f3f4d829c49ea80a2943b156dd1ebC.eqId876f0667f9d2407cbd471ccfcd72b049D.eqId20604849d87442e1817267d1781cfb44
更新:2020/05/23难度:0.65题型:单选题组卷:0
20 . 已知点eqIdef98b5a4b16547d6b621d4e4626cd696在抛物线eqId7e148e9b5def4bf1af4353dbf1ccc544上,点P关于原点O的对称点为点Q,过点Q作不经过点O的直线与抛物线C交于AB两点,则直线PAPB的斜率之积为(    )
A.eqId49b7b111d23b44a9990c2312dc3b7ed9B.1C.2D.﹣2
更新:2020/05/23难度:0.65题型:单选题组卷:0
21 . 若数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的每一项都是数列eqId93e38ecd74a24cb59da79181b95bfd3a中的项,则称eqIdeeb4ca98872f4e6d91cea28f43fc0b63eqId93e38ecd74a24cb59da79181b95bfd3a的子数列.已知两个无穷数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的各项均为正数,其中eqId5a468d38553c4ad1a36a602799ea9ad6eqIdeeb4ca98872f4e6d91cea28f43fc0b63是各项和为eqId49b7b111d23b44a9990c2312dc3b7ed9的等比数列,且eqIdeeb4ca98872f4e6d91cea28f43fc0b63eqId93e38ecd74a24cb59da79181b95bfd3a的子数列,则满足条件的数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的个数为(    )
A.0个B.1个C.2个D.无穷多个
更新:2020/05/23难度:0.65题型:单选题组卷:0