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河南省焦作市2018-2019学年高二下学期期中考试数学(理)试题

适用年级:高二试卷类型:期中试题总数:22浏览次数:49上传日期:2019/6/4
一、单选题
1 . eqId46368a12e8de40ddaf16c7d92bd13504(??)
A.eqIdb5235d32a9fc4a4fb241cbf8dd24d935B.eqIdbf8a21f90307442dacfc6de186fda43fC.eqId4f1dd8b99ae64560810d1c5d94322affD.eqIdf112b05b8454441cb8a399bc5d9a7827
难度系数:0.94使用:11次题型:单选题更新:2019/6/4
2 . eqId55476097be174ce0a2dd093699a45f2d(??)
A.eqIdf0d44d14ed6f40df8516c52d70d862a7B.eqId5a6dc96e894e4f23be3c422cad388a30C.eqIdc12500d69e0342b3be4db149b0244a7aD.eqId7f7ec8022b4e4967afce259ea49f903f
难度系数:0.65使用:15次题型:单选题更新:2019/6/4
3 . 利用数学归纳法证明eqId57546898578148dfaf74dfc0b4aa8f81时,第一步应证明(??)
A.eqIda2cf5e3c00ed440b8112a45f606883a2B.eqIdc4ca7ee9f00f4b25899a721b9042f126
C.eqId02d031b5ea774e509904ba6c8720e174D.eqId18dbbe1451f944eabd9a8893458ed75b
难度系数:0.94使用:19次题型:单选题更新:2019/6/4
4 . 已知数列eqId81410c707cef4bec98ab1226d2801f03是等差数列,且eqId50b271fe967b497da007f1c2d373180d,eqId1b5b2745ca5942619730b468f37f5f10,则公差eqId49cdcb7bc1da45d88cc057353f0bfb87(??)
A.eqIddb6b28cbd8a14caa9cf1146f6f7916c0B.eqId4f92ee88ff2f45b69f40d29e22c9da36C.1D.2
难度系数:0.94使用:36次题型:单选题更新:2019/6/4
5 . 已知函数eqId0ce0d847be0b4a269804e5a844148af9的图像开口向下,eqId80c454d77be04b8da3d1851f364b8644,则eqId5104ed9aacb0471185bc96a1d7cdb66c(??)
A.eqId94cd6242e9394c5b9aba165383223193B.eqIdc25ea1a1b38a4eb5a5dc835859c1954fC.2D.-2
难度系数:0.94使用:37次题型:单选题更新:2019/6/4
6 . 《九章算术》是我国古代的数学名著,书中把三角形的田称为“圭田”,把直角梯形的田称为“邪田”,称底是“广”,高是“正从”,“步”是丈量土地的单位.现有一邪田,广分别为八步和十二步,正从为八步,其内部有块广为八步,正从为五步的圭田,若将100棵的果树均匀地种植在邪田,一年后,每棵果树都有eqId9f6a063f14724b4497678bb1c169e207的果子收成,则此圭田中的收成约为(??)
A.eqId1d628fa9850f4166ad50d192eb947ce5B.eqId572bb0aed2714b789154e5d99e43fd52C.eqIdff13a9d182d84567a9a31ddfb32659d1D.eqId8a6537b7704d4b3b9116ebbdd141264c
难度系数:0.85使用:20次题型:单选题更新:2019/6/4
7 . 根据下面的程序框图,输出的eqId1b7d8b87b50e4cfdbf89d48980209a52的值为(??)
figure
A.1007B.1009C.0D.-1
难度系数:0.65使用:24次题型:单选题更新:2019/6/4
8 . 在复平面内,虚数eqId2cd9e2fe3d6540df9399dbefe49ada54对应的点为eqIdcc614bd3390c4d028df189b234dcc351,其共轭复数eqIdb99107e2becb4c6a83d81135996881b3对应的点为eqId8754ce8cf7f34f04abb9a0c041f57f5c,若点eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c分别在eqIdd3d25c8f95b14dfc8af75d55f7217b0beqId49a3240f48aa433d97874bf93b94083a上,且都不与原点eqIdaad7b72a25924d078d2360cdc99f1090重合,则eqId11529b43ebad4531bc54a83f779bdffc(??)
A.-16B.0C.16D.32
难度系数:0.65使用:16次题型:单选题更新:2019/6/4
9 . 在古希腊,毕达哥拉斯学派把1,3,6,10,15,21,28,36,45,…这些数叫做三角形数.设第eqIdb5d9d4dab47741dea8a5edac25aceca3个三角形数为eqIdef9cef8e6d054d8dac46b8cde14953ad,则下面结论错误的是(??)
A.eqIda4d2b98b51a04bb0a8b456525e06fbacB.eqId21f2b3fb5b6a40f9bc74bccbe0528d00
C.1024是三角形数D.eqIdbbe22dff30394f1484cf928d5d9aa0f2
难度系数:0.65使用:24次题型:单选题更新:2019/6/4
10 . 已知图中的三条曲线所对应的函数分别为eqId5a696eb03be84df1926b28046ae062c4,eqIdf014f15726b04683abbd5837c2501125,eqId6116445a5cd34b1ea0fc97f26e58bef8,则阴影部分的面积为(??)
figure
A.eqId8d6fbf2d027b4561a6edf4244d0c0090B.eqIdfe4e1b7b6c0945dba7933ae5a190f312C.1D.2
难度系数:0.65使用:33次题型:单选题更新:2019/6/4
11 . 在eqId992fe44057cf4492895193f3f5398449中,eqId2fa00fe5f0494e66a45533e928563975,eqId914ce0b6869846388773ec3ccb9aa0bfeqIdfdf3c3092e204ed0ba3d11c407d3d200的平分线交eqIde84e0278d905475dbdfd36c2a4101592eqId0cd8063abf2b458f80091bc51b75a904,eqIdead0cf298edc4f5593619a351a10389b,eqId2f39c0687977420997e224b10bf0c0db,则eqId160bcf6c413c47318efd79adcc6af416(??)
A.2B.eqId94cd6242e9394c5b9aba165383223193C.eqId6b435efa1a0347f38984c02e0d4f5b72D.eqIdcb116245290448fc88ad18e6a3789035
难度系数:0.65使用:42次题型:单选题更新:2019/6/4
12 . 已知方程eqId3a202984ccda4a75864399f1ed9d3f0d的两实根为eqIdf7cbc1ad0a7b4f97b479c131b62ad882,eqIdaecaf42a9cfb4a5c8c0cade53729c9ba,若函数eqIdeb1ea54f9511455a89cf05d55348f30feqId66634512467f4e269f148e7a3b01cfe8eqId8e467b3ce4044846927a82d7bbce8421处的切线相互垂直,满足条件的eqId70a27b6ddf6b478285353abb3b1f3741的个数为(??)
A.1B.2C.3D.4
难度系数:0.65使用:14次题型:单选题更新:2019/6/4
二、填空题
13 . 已知复数eqId2cd9e2fe3d6540df9399dbefe49ada54的实部与虚部之和为2,且eqId7df50a4f29ad49d19649c568c9ffff3c,则eqId705acd54ee6740c69fcd89a7a1d12157_____.
难度系数:0.85使用:14次题型:填空题更新:2019/6/4
14 . 某村有农户200户,他们2018年的家庭收入经过统计整理得到如图所示的频率分布直方图.当地政策规定,若家庭收入不足1.5万元,则可以享受一定的国家扶贫政策,则该村享受国家扶贫政策的有_______户.figure
难度系数:0.94使用:37次题型:填空题更新:2019/6/4
15 . 若eqIdc12aac8c2448479687a40735b3572a23,eqId072d7d6b911b42bc89207e72515ebf5f满足约束条件eqId082c559bafa842888a770bd85c3f560f,则eqId64ebe389779d49008fffd82b765f27ff的最大值为_____.
难度系数:0.94使用:16次题型:填空题更新:2019/6/4
16 . 函数eqId6f13759e937144069819aed2ae5a1057是连续的偶函数,方程eqIdfa16f189bf154638b38bc45c820ad04e仅有两个实根eqIda6ae8ff3699d444fb5ae13ef2e86351f,且当eqId152f27e66d4145a99f68c2429ef0fe07eqId5514e295b24c443e9af25e94ad2b98e2恒成立,则不等式eqId159e243afbcb4d5595b4e913731fa297的解集为________.
难度系数:0.65使用:29次题型:填空题更新:2019/6/4
三、解答题
17 . 已知函数eqId5275c16bdff446088d9a487fd972619e.
(Ⅰ)若eqId4510ce0ed5ad4a698967a76ece0a139b,求eqId4451630997de4431bafe07b1e9331132;
(Ⅱ)证明:eqIde2c53db3fb8b4533a05e3f946f2bebec.
难度系数:0.65使用:10次题型:解答题更新:2019/6/4
18 . 在梯形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId6ff2a0712cd64ae9a7d336ca3b8284db,eqId87ae13d8d9c74e92bbea96e7ddcdb554于点eqIdaad7b72a25924d078d2360cdc99f1090,eqId851422048e8f4f539789634f8bde2d6b,eqIdce01676d72bf4c17b2c452ee2e60e5f2,将eqId39726fa171f74d35ae623009d5bf7637沿着eqId1b51efe7c2fa42748ac5a6be262e2fa4折起,使得eqIdcc614bd3390c4d028df189b234dcc351点到eqIdd7be5abad1e34f6db17a56660de8d54f点的位置,eqId7629607bfe7c47308e7e64a5daeac918.
figure
(Ⅰ)求证:平面eqId16217adfb904401985a6c325a4ae294b平面eqId9e37c9c7db6b49c183010c0394cc18e4;
(Ⅱ)eqId2381423d4cd146cab95f55527681a766eqIde84e0278d905475dbdfd36c2a4101592上一点,且eqId9ae2eb91025b476ca4bcc5b3e725e00e,求证:eqId6f36f76816d4404488ec43dd315d6de9平面eqId6ab9278b84d74a028f55be2fd1950399.
难度系数:0.65使用:37次题型:解答题更新:2019/6/4
19 . 已知eqId70a27b6ddf6b478285353abb3b1f3741,eqId98543886b76f494781d6d985fee5b822,eqIde705d6cfec9c41488d8c4d47cdc8d434,eqId096e32e1d18145d199ccbacb5a9a85fe为实数.
(Ⅰ)证明:eqIdab387bc93b3d414f974383ee44313d92;
(Ⅱ)若eqId7ee0ba65de504f9cb1c9e577aee1cc2b,证明:eqId70a27b6ddf6b478285353abb3b1f3741,eqId98543886b76f494781d6d985fee5b822,eqIde705d6cfec9c41488d8c4d47cdc8d434,eqId096e32e1d18145d199ccbacb5a9a85fe中至少有一个不大于1.
难度系数:0.65使用:15次题型:解答题更新:2019/6/4
20 . 已知函数eqIddb4a61ae0af14aa986045b0722ec7652.
(Ⅰ)若eqIddcf5b30f6a19464fa0936e1b3a5a4898eqId6f13759e937144069819aed2ae5a1057的一个极值点,求实数eqIde3ff50261b3b48789d45dd3876c7571b的值;
(Ⅱ)若eqIda08ce385279d41c789695fb651b17890,eqIdb0d271fad3994ddc9b9cd4087b360512,求eqId6f13759e937144069819aed2ae5a1057在区间eqIddf2b560b86744c88aa12c8a8ac83e6b3上的最值.
难度系数:0.65使用:32次题型:解答题更新:2019/6/4
21 . 已知抛物线eqId19a4eb16029e4550a14f2afe4741a3c3eqId06c219baa2f441a8bb5b63542e399d64的焦点为eqIdd5b10b2a13f148b78e0d5a1b820538fd,过eqIdd5b10b2a13f148b78e0d5a1b820538fd的直线eqId417e80f1349244878d01fe90e0891f5f与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqIdcc614bd3390c4d028df189b234dcc351,eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,弦eqId99a3187c2b8f4bcc9703c74c3b72f1f3的中点的横坐标为eqId426b84c1208f48789f8b06b0dbaef877,eqId2da0fa3fe9234aae981e0d49585a658f.
(Ⅰ)求抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(Ⅱ)若直线eqId417e80f1349244878d01fe90e0891f5f的倾斜角为锐角,求与直线eqId417e80f1349244878d01fe90e0891f5f平行且与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3相切的直线方程.
难度系数:0.65使用:22次题型:解答题更新:2019/6/4
22 . 已知函数eqId5f8c36d56d0e409dabc374dc98933e9f.
(Ⅰ)讨论eqId6f13759e937144069819aed2ae5a1057的单调性;
(Ⅱ)若eqId982da3835b7946d999cc8604a2ece266,且对任意的eqId6392bbc5f60b4800bb51dd5280b0bc63,都有eqId937e65cd0d4e41acb4f50afe75b7496f,求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
难度系数:0.65使用:66次题型:解答题更新:2019/6/4
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