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上海市外国语大学附属大境中学2018-2019学年高二上学期期末数学试题

适用年级:高二试卷类型:期末试题总数:21浏览次数:39上传日期:2019/11/16
1 . 抛物线eqIdf70f5f6ab2ed4976b0c809d86af31287的准线方程为            .
难度:0.85组卷:340题型:填空题更新:2019/11/16
2 . 计算:eqIde4c2fce5191744d881f0f1607b4a6846_________.
难度:0.94组卷:25题型:填空题更新:2019/11/16
3 . 若线性方程组的增广矩阵为eqIdc2a881c1f8a84714ac8f0f6e7bd96d7f、解为eqIdaa15e7a69eed4e56b27de6cb6e50d53feqIdeb502dd8746943a3af0f625c81e2d8e7_________.
难度:0.94组卷:14题型:填空题更新:2019/11/16
4 . 在三阶行列式eqId549978cce63a4d278e43488714191a8a中,4的代数余子式的值为_________.
难度:0.94组卷:14题型:填空题更新:2019/11/16
5 . 平行四边形ABCD中,若eqIdb30ab8baa98a471a8a9c1be19f18ef73,则eqId9cd743bfdaa142c3a76a245778395e61________
难度:0.94组卷:76题型:填空题更新:2019/11/16
6 . 经过坐标原点且和圆eqIda1ee1830bd79488fbe3ec2d07da2510a相切的直线的方程是_________.
难度:0.94组卷:200题型:填空题更新:2019/11/16
7 . eqId4d2187284c5d4de29906363f7d21f60f取任意实数时,直线eqIdab08bf828f67422789730975c475685c恒经过定点eqIdd7be5abad1e34f6db17a56660de8d54f,则点eqIdd7be5abad1e34f6db17a56660de8d54f的坐标为_________.
难度:0.85组卷:169题型:填空题更新:2020/2/7
8 . 已知两定点eqId59a400495667432fabb4ed1668f79f1b,则到点eqIdbae5032529224bfbb359d2cb586a66c7距离等于到点eqIdbe31cc43e5e04923995edbf8a46eb55b的距离的2倍的动点eqIdca9308a4ebd84ed8a28d8a519a8dbb39的轨迹方程为_________.
难度:0.94组卷:257题型:填空题更新:2019/11/16
9 . 若向量eqId32ed0ffcb92a49abb566030533ddfc22是直线eqId74c7e0292b094e54ae596d37798a05ed的一个方向向量,向量eqIdd75f342592c84570ad29108c85c9172a是直线eqId439fb93f7745417b8bb1747d963c6e60的一个法向量,则直线eqId74c7e0292b094e54ae596d37798a05edeqId439fb93f7745417b8bb1747d963c6e60的夹角的余弦值为_________.
难度:0.85组卷:69题型:填空题更新:2019/11/16
10 . 已知椭圆eqIdd6b86d2031f040fa942bba05a1c2c043的焦点为eqId5f04473e64c141bcbe9b0a8af27f4aa8,点eqId2381423d4cd146cab95f55527681a766在椭圆上,且eqId2adf4b444c924cdf85f0b9d916cad39d轴,则点eqId0aa72756ed0c4c7a89f26aa94f43e47d到直线eqIde0eb49f0d4ae4fd4a3b452ba93b3429b的距离为_________.
难度:0.85组卷:518题型:填空题更新:2019/11/16
11 . 双曲线型自然通风塔的外形是双曲线的一部分绕其虚轴旋转所成的曲面,如图所示,它的下口半径为51米,最小半径为24米,半径最小的圆将通风塔分成上、下两部分的高之比为2:9,则此通风塔的上口半径为_________米.figure
难度:0.65组卷:126题型:填空题更新:2019/11/16
12 . 已知点eqId5ef64e6c82ab467e8f8ed5d0eb29e9a8为圆eqIdad10a209dece4846af3de519abab6a9d上的两动点,且eqIdc3d3fa93b3a946a9806ccc723fe898ea,若圆eqId2efda802d5534f6d92d9f8af7aaec28b上存在点eqIdbedf755e0fdb4d078d6859360706b163满足eqIdb2357309b9fa4c8e94916f9ce4d234c6,则实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围是_________.
难度:0.4组卷:303题型:填空题更新:2019/11/16
13 . 已知eqId2afa2d9bb3884033b198af61485b188a为两个单位向量,那么下列四个命题中正确的是(   )
A.eqIdc5bd0e36595249f68557f0ad788be904B.若eqId961d6a0ed3744f45b8cdd486f60f82c1,则eqIdc5bd0e36595249f68557f0ad788be904C.eqIdf45eb340a780434fa6601d565c61f5a9D.eqId0e6e93a67bd34b61882f9f10fb3b9088
难度:0.94组卷:211题型:单选题更新:2019/11/16
14 . 若eqId3ef515f8274a415bb4601ba1d2906c2d, 则“eqId092ecfe5ec5843819eb060344eb85d02”是“方程eqId46a07e051f104b1794ef47022d191f44表示双曲线”的(   )
A.充分而不必要条件B.必要而不充分条件
C.充要条件D.既不充分也不必要条件
难度:0.94组卷:255题型:单选题更新:2019/12/2
15 . 曲线eqId6939e87e851a4c87a7b7bda3c53b409b关于直线eqIdc14739b2ae5b4fde972e08210a7f67d5对称的曲线eqIdfda8f53fb390486aa5e4a82151e3e416的方程为(   )
A.eqId54a27b1a859c4c798d10e52063cb117bB.eqId54a27b1a859c4c798d10e52063cb117b
C.eqId2aaf925439dd4ea99eca42354c43162cD.eqId292b6f7fa3ff4d2baaa34100af9386bf
难度:0.85组卷:88题型:单选题更新:2019/11/16
16 . 若eqId94b875faba0d4f8dbf6a3aa7a73f589b,则eqId54307b0e5212481296f95bb2eeb718d6等于(   )
A.eqIdada2546fdbe446d2af1fa31ab88dc4e3B.eqIda26d303dd6614f8199790177e2f38a96C.eqIdccae67646be8485a9f4a1e6b2ab3bab0D.eqId538173e092174c10a6418404d9492496
难度:0.65组卷:42题型:单选题更新:2020/2/19
17 . 已知双曲线eqId05a1694d215b4cd286e06e30e3d4998f的焦点在eqId8e15963708e9415da25069fea5906e24轴上,焦距为eqId11f75c152f5341f39d020095cecda9b3.
(1)求eqIdf458db68122849abb588feb2e682d9ac的值;
(2)求双曲线的顶点坐标与渐近线方程.
难度:0.94组卷:738题型:解答题更新:2019/11/16
18 . 已经直线eqId530fc70e878449f097c95c5684c604d6与两点eqId792793ad9b17429083fad47736f15a21
(1)若eqId417e80f1349244878d01fe90e0891f5f与直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3平行,求它们之间的距离以及eqId417e80f1349244878d01fe90e0891f5f的倾斜角;
(2)若eqId417e80f1349244878d01fe90e0891f5f与线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3无公共点,求eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
难度:0.85组卷:192题型:解答题更新:2019/11/16
19 . 已知eqId6010b1ff7ca84482a8d0a92d7f99180b
(1)若eqId6de346c6c5544c3789a2f4c94b576eb9,且eqId8b3f9d3e67fc4513bd8c9a901b4e714f,求k的值;
(2)若eqId147167b0232945c4af2c2adf04403c0d,且eqId321a62448fbb4ed39dc65d966b94728f,求证:eqId1ec960e81173474d80e19bc43bcc60a7
难度:0.65组卷:72题型:解答题更新:2019/11/16
20 . 已知椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的中心为原点eqId2efda802d5534f6d92d9f8af7aaec28b,长轴在eqId072d7d6b911b42bc89207e72515ebf5f轴上,左顶点为eqIdcc614bd3390c4d028df189b234dcc351,上、下焦点分别为eqId5f04473e64c141bcbe9b0a8af27f4aa8,线段eqId5f49eb14e6ce4a128d3ea53e4249122c的中点分别为eqId1d722b17d4e34c40a5b7ce72f4871cb7,且eqId1207770a27144bb0b9279053ea79fa08是斜边长为eqIdc052ddfbd4524f67a79e0e77c2e5656a的直角三角形.
(1)若点eqId5675989e12e2426db6140e258ba34b55在椭圆eqId19a4eb16029e4550a14f2afe4741a3c3上,且eqId744d37acc80c438f8c26b34b6138a011为锐角,求eqId072d7d6b911b42bc89207e72515ebf5f的取值范围;
(2)过点eqIde660daa143d5431e96530c61b610d572作直线交椭圆eqId19a4eb16029e4550a14f2afe4741a3c3于点eqIdfcf606636c8549158e75f6db78c50096,且eqId25f3dc1b5a3645bf837565bf9d5300da,求直线eqId4ea1af672e334fb1a6a3ab675d494e72的方程.
难度:0.65组卷:174题型:解答题更新:2019/11/16
21 . 已知抛物线eqIde73f68c98d7c4129b2a24eed090438df的焦点为FAC上异于原点的任意一点,以点F为圆心且过点A的圆Mx轴正半轴交于点BAB的延长线交C于点DAF的延长线交C于点E
figure
(1)若点A的纵坐标为4,求圆M的方程;
(2)若线段AD的中点为G,求证:eqIde5045982d7c84a2cb9acd82ed2fc723e轴;
(3)eqIdac60916bbf2249d5b0d373c8d6bd2d84的面积是否存在最小值?若存在,请求出此最小值;若不存在,请说明理由.
难度:0.15组卷:381题型:解答题更新:2019/11/16
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