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吉林省辽源市东辽县第一高级中学校2019-2020学年高二上学期期中数学(理)试题
适用年级:高二 试卷类型:期中 试题总数:22 浏览次数:69 上传日期:2020-04-03
1 . 设命题eqId85a5da07d143404fa2d71bc86563f1d0,则eqId8643f223dfb346f7b0d1aec120a0b4a7p为(   )
A.eqIdb6c0b97bec5b4153b6d66022ef6f9d20B.eqId6247227c40b64cb9a870c83fba3cd6ea
C.eqId273ec49761da4a7ea7a446fadad812beD.eqIdb8bc1a82d74b41f8b9171fdc13ff50b2
更新:2020/06/03难度:0.94题型:单选题组卷:302
2 . 抛物线eqId0d40f3a1c0264b72a9e58b560ac68e78的焦点坐标是(     )
A.eqIdd2d791f456914a80af33c93c5cc6ea11B.eqId9c5cee46e747402a86421409c4ffd575C.eqId81363e2de8ce4d0d8ada37579405d38aD.eqId76e1f5d2f4f045a4b25d91933d5b20c6
更新:2020/04/03难度:0.94题型:单选题组卷:55
3 . 若方程eqId44fa61d7e665482686f25dd0e72a6fb4表示圆,则eqId4d2187284c5d4de29906363f7d21f60f的取值范围是(   )
A.eqIdf139fe5644174325bcc65c7075987e89B.eqIdbb689b5997004302ac50b44d6010acdfC.eqIdb01dd056ccd14a43868541686d4f078bD.eqId6f7c5b0f47104c099aaba58e2d9a493c
更新:2020/04/03难度:0.85题型:单选题组卷:42
4 . 双曲线eqId610e29237c024747af7bffdbedb31910的渐近线方程为(   )
A.eqId69a766e22475475fb2cbea78c0771c5dB.eqIdcc477811bd58484ca49306ae75edb452C.eqIdd57ef5161ba74facb02ea1e7160dff24D.eqId1901246521334866b58100fa669ef49d
更新:2020/04/03难度:0.85题型:单选题组卷:6
5 . 已知命题eqIdb366888248ef444d8f690ad6a9965dfceqId6ccd34ca677841d2b5783194390ce053eqIdf8c4418a42d64e5ea2ea5ae9354cc4ea,则eqId728acd59d2ce4154a8c0859068d294c1;命题eqId8583cced1ea645afa5a8f22ed169a30eeqIdf458db68122849abb588feb2e682d9ac是两条不同的直线,eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159是两个不同的平面,若eqIdef85d86427e94afea43f7f4727f6ad4deqId75becdb8e03a4669b491dd3c7c503418eqId462af0d07bbe4d46bf10d8213c48ebbe,则eqId92c7807f834648c68d013d419a097926,则下列命题为真命题的是(   )
A.eqIdc89abe1e4d584e16b3718409cb609213B.eqIdc507d06e67c64166b7b2dda64746cad1C.eqIdc0a137fc0ab94b7e82369b1a06265c14D.eqId17573da6b6de4537a990dcbf5da9cb45
更新:2020/04/03难度:0.85题型:单选题组卷:20
6 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,抛物线eqId245bd333d4ea4f97876e7799f1c24713eqId4a18b67601594733acd04c6309a6e6a2的焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,若线段eqIdf7c24389743c4a5bbf4e1284fcd400c8的垂直平分线与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的一个交点为eqId2381423d4cd146cab95f55527681a766,且eqId7295b4300d104c18b6ade88d85969774,则eqId2d8e338f0aad45489954e17f349adf5e(   )
A.eqIdc052ddfbd4524f67a79e0e77c2e5656aB.eqIdddd35c5d043e4ebeac32a99367053c68C.eqId8f65c930571d4ff6aa6a50029d46826eD.eqId401586f7a7f248b7904a4cfeaa2ed2f0
更新:2020/04/23难度:0.65题型:单选题组卷:28
7 . 已知eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c分别是椭圆eqId41ff721b6d234851961f28b80b1d782eeqIde9c1eda3dc0c4304868ea148d833743f)的左顶点和上顶点,线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3的垂直平分线过右顶点.若椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的焦距为2,则椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的长轴长为(   )
A.eqIdcf32b3b919f04cc18988c622e750e9f1B.eqIdb2392e11e33f4b2fa394e10c28280d94C.eqIda2a0ce3781fa4c26b624f5966b7dee44D.eqId807b61b62f09462994e31cf497210538
更新:2020/04/05难度:0.85题型:单选题组卷:194
8 . 已知eqId8f00bc493a8a46819b907c0009350e1feqIdfd6a30ef20384e528b0e14d88900cd44,那么它们的位置关系是(   )
A.外离B.相切C.相交D.内含
更新:2020/04/03难度:0.85题型:单选题组卷:46
9 . 已知在eqId992fe44057cf4492895193f3f5398449中,点eqIdf1b6c69dcdf7480f831d76673b01c707,点eqIddf1e8ceba67a4f138f6b51f7ff813645,若eqId42ea83a69d5a4e3cb738967fad732dc4,则点C的轨迹方程为(     )
A.eqId1efea193e869417b9b8d04d712d38b6fB.eqId1efea193e869417b9b8d04d712d38b6feqId0e8d8bbf041d44089921f4d3134ca786
C.eqIdbce6b6e2ce3941e38c40a28465482523D.eqIded5866910ac749dfb08bfd15286ae310eqId0e8d8bbf041d44089921f4d3134ca786
更新:2020/04/03难度:0.85题型:单选题组卷:94
10 . 已知椭圆eqIdf18b5700afd748c9af08fbce0977010b过点eqId9d4b7394307a4157bfb96e0524148832,其离心率的取值范围是eqId704d384bfae446b285dee74c919e6403,则椭圆短轴长的最大值是(   )
A.4B.3C.eqIdd45c75a466124cc783c849f1b1e102bfD.eqId7bcd573cee334383ad72cc4b179fcfb3
更新:2020/04/03难度:0.65题型:单选题组卷:306
11 . 已知点eqIdbedf755e0fdb4d078d6859360706b163是直线eqId2bda3c050f7a42bfb87eb5b903a3edb3上的动点,过点eqIdbedf755e0fdb4d078d6859360706b163作圆eqId2ea47ae391824001b382da731524c26deqIdd2e408d016d7427c97f330dc0517d62f的两条切线eqIddc272480cccc4b2d8c1bc77debf9c0a8eqId0ee1c782cf8f45239afc0b714644b017eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6为切点.若eqId6a116a29cea24d9f91c67a541d501d51的最大值为eqIdf1c3337151994ec4b99354c9d54f311c,则eqIdd9026ce1966847eb86a5e13345fed583的值为(   )
A.eqIdc052ddfbd4524f67a79e0e77c2e5656aB.eqId37705e1ef6a84bbdbe88433e75932cdfC.eqId5d04f8a500ff47769300856360b7f29aD.eqIdcd9b24a6a6e5426ab775be20461174e3
更新:2020/04/03难度:0.65题型:单选题组卷:88
12 . 已知eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e分别为双曲线eqId5413695a72d44e73b4ada3c00606a205的左、右焦点,点eqIdbedf755e0fdb4d078d6859360706b163eqId19a4eb16029e4550a14f2afe4741a3c3上,若eqId733528fbd53f475caaaed68c1320998e,则eqIdb02d91e20208431ba6c2fdb3f18c2fcc内切圆的半径为(   )
A.eqId68700a711a01497dad2e7c4dc6feafd2B.eqIde95402b9009a482bb83bb3d9baa7fa4dC.eqIda10b45c014f747e1ae2d59a94cbf4ee0D.eqIdb55f83b8e01e46e69e53c08b7eb6c6a7
更新:2020/04/03难度:0.65题型:单选题组卷:26
13 . 若命题“eqId9db248477abc484f927045b44afcf6b5eqIdb0eab7b26fca45ccb598342e8af6d36e”为假命题,则实数a的取值范围是______.
更新:2020/04/28难度:0.65题型:填空题组卷:188
14 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,“eqId77ab083840e54506bb21953b2baeec18”是“方程eqId66c583bad01e44de8d63c938cc177b79表示椭圆”的__________条件.(填“充分不必要”“必要不充分”“充要“既不充分也不必要”)
更新:2020/04/03难度:0.85题型:填空题组卷:10
15 . 如图,一抛物线型拱桥的拱顶O离水面高eqIdc850236137fc41ea8c96de8b410c93f7,水面宽度eqIdac46f3789d02404a874565c82b663e8c.现有一船只运送一堆由小货箱码成的长方体的货物欲从桥下中央经过,已知长方体货物总宽6米,若要使船只顺利通过该桥,则长方体货物的顶部离水面的距离应低于______eqId3a4208e0040c42ed8b09de2cae9d562e.figure
更新:2020/04/03难度:0.85题型:填空题组卷:50
16 . 在平面上给定相异两点AB,设P点在同一平面上且满足eqId9cbe9f22b055466393b6382256407033,当eqId2b731bf231b2418d8b49f1ba8c0c53caeqIda595c361887f468086aaeccc2fb0908b时,P点的轨迹是一个圆,这个轨迹最先由古希腊数学家阿波罗尼斯发现,故我们称这个圆为阿波罗尼斯圆,现有双曲线eqId3327c113c43b4f7191d1fa2c69c46c60eqId982da3835b7946d999cc8604a2ece266eqId8164502d09d44990ac4f2f73ea67e37a),AB为双曲线的左、右顶点,CD为双曲线的虚轴端点,动点P满足eqId258fd335875b4c088d90e46162f2fd78eqId9470aa9c0405470a869fbfb2290c920b面积的最大值为eqIdb24afb5edf3841dca67482d57bc9171feqId5a5d209b64be4c89ba94310e9dd692d4面积的最小值为4,则双曲线的离心率为______.
更新:2020/04/03难度:0.65题型:填空题组卷:107
17 . 已知eqId2a04552d1c724369be59018d8f5d5877,命题eqId9bac2bcdd0494a959181d96f131f0e20幂函数eqIdb35e06594b1f4d7ca78b64771c04d0caeqId176a569ddabd4e4482d9ab5af6e2d6ea上是减函数;命题eqId2483463407414cd88c038c07118752d0函数eqIdb202a889c4c64c878528e8ce158de7e8最小值大于0.
(1)当eqId0be4e678c13c4855b0d3f5c45188da09时,若eqId0c243e5dded24989821daf9bef2676a6为假命题,求eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围;
(2)当eqId316e2199840e418e87252dba1d7d7ffd时,若eqIdc89abe1e4d584e16b3718409cb609213为假命题,求eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围.
更新:2020/06/03难度:0.85题型:解答题组卷:48
18 . 根据下列条件求双曲线的标准方程.
(1)经过点eqId09d6b0bf559d442fa284b96c5da5eec7,实轴长为eqId5d04f8a500ff47769300856360b7f29a,焦点在eqId8e15963708e9415da25069fea5906e24轴上;
(2)经过点eqId01978dd45f6e4175afb6a06c6c7a3351,且与双曲线eqId1609f8a41ca04b07b3ca5c43fac90300有相同的焦点.
更新:2020/04/03难度:0.65题型:解答题组卷:9
19 . 已知eqId25e7da02c79540bba22b2ef555ffd108eqId76386ba8daa24f079c8260c2062aa798eqId05ea3c05e20345b1b1c06fd1ddb78be3.
(1)若eqIda5d0fc594d4048549d5bbda484fbecc8eqId0c243e5dded24989821daf9bef2676a6成立的必要不充分条件,求eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围;
(2)若eqId56cd6a0be2d74b0896f864eff8f2a23eeqId8b5e034d124c40b59f33a767ed1e4b9e成立的充分不必要条件,求eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围.
更新:2020/04/03难度:0.85题型:解答题组卷:21
20 . 已知圆eqId19a4eb16029e4550a14f2afe4741a3c3eqId3d3a249daa094e1c96d4cea978f29391eqId0aab1781e38a493daad0fd212470b56b两点,且圆心eqId19a4eb16029e4550a14f2afe4741a3c3在直线eqId374d20a9f27f411f82fa9e7e21742a1d上.
(1)求圆eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(2)若直线eqId5abc282104e943c1923d64a046ad3772且被圆eqId19a4eb16029e4550a14f2afe4741a3c3截得的线段长为eqId62f2412997424b4ca41272f35d432557,求直线eqId3a4208e0040c42ed8b09de2cae9d562e的方程.
更新:2020/04/03难度:0.65题型:解答题组卷:39
21 . 如图,在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e分别为椭圆eqId0cea1b4143794e648461083dfa398706的左、右焦点,动直线eqId417e80f1349244878d01fe90e0891f5f过点eqIdde963a24921f4ee7a991bf9d4f43a42e,且与椭圆eqId19a4eb16029e4550a14f2afe4741a3c3相交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点(直线eqId417e80f1349244878d01fe90e0891f5feqId8e15963708e9415da25069fea5906e24轴不重合).
figure
(1)若点eqIdcc614bd3390c4d028df189b234dcc351的坐标为eqIdc709f521150546a29c15d0733dab07d8,求点eqId8754ce8cf7f34f04abb9a0c041f57f5c坐标;
(2)若eqId1f1b13f20df344c4a387a105e2964b71,求eqId9ad43be2f520443a8f3ac415ca76b08d面积的最大值.
更新:2020/04/03难度:0.4题型:解答题组卷:20
22 . 已知抛物线eqIde73f68c98d7c4129b2a24eed090438df的准线与eqId8e15963708e9415da25069fea5906e24轴交于点eqId2381423d4cd146cab95f55527681a766,过点eqId2381423d4cd146cab95f55527681a766且斜率为eqId4d2187284c5d4de29906363f7d21f60feqId4304619a9e2147ae84a1c07d4fe87d6beqIdbd74b77084e14c34a917fa99c0e4b136)的直线eqId417e80f1349244878d01fe90e0891f5f与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点(eqIdcc614bd3390c4d028df189b234dcc351eqId2381423d4cd146cab95f55527681a766eqId8754ce8cf7f34f04abb9a0c041f57f5c之间),eqId63db14a5b4334f3ea583c8fb12b0d175为抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的焦点.
figure
(1)若eqIdc35e060f64a8493d84d7d8c0ed063d4e,求直线eqId417e80f1349244878d01fe90e0891f5f的方程;
(2)若eqId27575ef8e17f47e38bef8e606b45c3a3,求eqId4d2187284c5d4de29906363f7d21f60f的值.
更新:2020/04/03难度:0.65题型:解答题组卷:17