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浙江省温州市十五校联合体2019-2020学年高一下学期期末数学试题
浙江 高一 期末 2020-08-01 119次

一、单选题添加题型下试题

难度: 0.94 | 2020·浙江高一期末
1. 直线eqId5dae2d0f5f334153be88bad46ac303cc的倾斜角为(   )
A.eqIdeacabdda233342049ddc066b54feb1feB.eqId43059a1babed4850ab90728e475e4ce1C.eqId000aef5c9f2a4aa2881d8b6ed91fe140D.eqIde0752c4ed0bb461dacb5c7cc99beecc3
难度: 0.94 | 2020·浙江高一期末
2. 已知圆的方程为eqIdd4166c91c2d748608633232d59e28d4d,则圆的半径为(   )
A.3B.eqIdcd9b24a6a6e5426ab775be20461174e3C.eqIda2a0ce3781fa4c26b624f5966b7dee44D.4
难度: 0.85 | 2020·浙江高一期末
3. 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId8f693beaff1b43a593feaa8ccbcb06c6,则eqId64b9b599fdb6481e9f8d9a94c102300b的形状为(   )
A.锐角三角形B.直角三角形
C.钝角三角形D.等腰三角形
难度: 0.85 | 2020·浙江高一期末
4. 若实数xy满足eqId30b290d1fe004ebe8fb6d85664421583,则eqIdc6664c9b8640441199dc69525f8e5638的最大值是(   )
A.3B.4C.5D.6
难度: 0.94 | 2020·浙江高一期末
5. 圆eqIddfe56a07c22a44e09767c3e16dc14481被直线eqIdd210b5e3a8af426084c4b6fa6913568b截得的劣弧所对的圆心角的大小为(   )
A.eqId4023ceb292e24a45871ca56fa44d50e3B.eqIdd01b7918993a412cb774dea127f210b6C.eqIdcbf8f098b4634cf49e9e651e10b7cf1dD.eqIdc49bd81ea8044d68aba97695ad0e1d5e
难度: 0.65 | 2020·浙江高一期末
6. 关于eqId8e15963708e9415da25069fea5906e24的不等式eqId55ad55b5ad3f495b9d94395345030534恒成立,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(   )
A.eqIdd4c4bfdb78a94bacbb51f777cf0668b9B.eqIdb2d843ad90684718862aef0a0669a7c2
C.eqIdd21e56f2b78a469bb8817262d63608d0D.eqId5b4ca98c3df643819f116c9f4bb25a89
难度: 0.85 | 2020·浙江高一期末
7. 等差数列eqId14872f9ee7c14267afb3dd93f72fefff的前n项和为eqIddb5481de79c946c0a760143297d5eade,若eqId4a78bc0930094d22b5cf9ec2b2b44729eqId2a03037adb8b443c84b93fdb012e9282,则当eqIddb5481de79c946c0a760143297d5eade取得最大值时,eqId8c4243d3a68d483db73d7f4203c7e940(   )
A.5B.6C.7D.8
难度: 0.65 | 2020·浙江高一期末
9. 已知正项等比数列eqId93e38ecd74a24cb59da79181b95bfd3a,满足eqIdebdbf5e6239a41c9976ce3d59604dddb,则eqIdde5836d9a77e4e648c784e42488f7df8的值可能是(   )
A.eqId8fe6f89b636848c084ce566376445d20B.eqId885b4932a14a4705b5c0598a9ab97956C.eqId776b02c955e84bbca3c918bacf41d393D.eqId823789c72c8b4ed69795a9ee1f0983b0
难度: 0.4 | 2020·浙江高一期末
10. 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId0eca24a02d6345f9aa724efec139d917,若eqId1618dee2738a4d93b12834acc162780e,则eqId5cae532f2168495188622189ec8df62c的取值范围是(   )
A.eqId8c5106b9863949e58dfa8ac2385010b2B.eqIdbc144c7caef74353b89ad9f18e8146f7
C.eqId0d4e597397144a329152a3e6f46dc6bfD.eqIda8c04203e31b410488c900b3eb677240

二、双空题添加题型下试题

难度: 0.85 | 2020·浙江高一期末
11. 已知直线eqId74c7e0292b094e54ae596d37798a05ed的方程为eqId7dd3d02157da42cd9e972a4e5c0a677f,直线eqId439fb93f7745417b8bb1747d963c6e60的方程为eqId64ad231c8b1c4d2c853300a7a174c87d,则直线eqId74c7e0292b094e54ae596d37798a05ed的斜率为________,直线eqId74c7e0292b094e54ae596d37798a05edeqId439fb93f7745417b8bb1747d963c6e60的距离为__________.
难度: 0.85 | 2020·浙江高一期末
12. 设数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId3a8c692dea6f4fb4a0d0d8ce195677f6,且eqId0531e2eb7b8540128a3c7dad0f05a668,则数列eqId88ef23c03cc5404f9ddfcd092ce5ed85中的最小项为__________,最大项为__________(要求写出具体的值).
难度: 0.85 | 2020·浙江高一期末
13. 已知eqId3ef515f8274a415bb4601ba1d2906c2d,则直线eqId8af8b622089b4956a725abdcdea72ff2过定点__________;若直线eqId8af8b622089b4956a725abdcdea72ff2与圆eqId15ba969193fa4309ba479dbc12c6473c恒有公共点,则半径r的取值范围是__________.
难度: 0.65 | 2020·浙江高一期末
14. 已知两圆eqId697d7ce0817b4548ae75641339af5e5beqId4b27723e58c0411f8636433b9bf655dc交于AB两点,则线段AB的垂直平分线方程是__________,公共弦AB长度为__________.

三、填空题添加题型下试题

难度: 0.65 | 2020·浙江高一期末
15. 设数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId6f4e5a8c872b47e8a855741729820d01,若数列eqId93e38ecd74a24cb59da79181b95bfd3a是单调递增数列,则实数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的取值范围是__________.
难度: 0.65 | 2020·浙江高一期末
16. 设eqId64b9b599fdb6481e9f8d9a94c102300b的内角ABC所对的边长分别为abc,且eqIdbb0c074fed6649f2ba2b601c41e4d14b,则eqIdb71fdbc12594436594edbe80b5100aa4的最大值为__________.
难度: 0.85 | 2020·浙江高一期末
17. 已知eqId2d569479cd1c43c1af15895792b64db6eqId8ba9197540c04cb6a2805f8bc9ae3f1d,且eqId89b7437047d04a7fbc2f3468c22a0d8a,若不等式eqIda519919d4add4645a56550be068b52d9恒成立,则实数t的取值范围__________.

四、解答题添加题型下试题

难度: 0.65 | 2020·浙江高一期末
18. 在eqId64b9b599fdb6481e9f8d9a94c102300b中,内角ABC所对的边分别是abc,且eqId7c36e068b57f4cf7a41b9c63ca033c9d.
(1)若eqId316e2199840e418e87252dba1d7d7ffdeqIded5f3203b4f84c4caa582e8bd90fedbe,求eqId64b9b599fdb6481e9f8d9a94c102300b的面积;
(2)若eqId79b6466898ac471abcb54483316406dc,求eqId64b9b599fdb6481e9f8d9a94c102300b周长的取值范围.
难度: 0.65 | 2020·浙江高一期末
19. 在公差不为零的等差数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqIdcd3490c654934f6ab14b4e6fbbf093c9,且eqId0509add794484602a2c710f41d9ddddceqIdd80748a60dc04eb5bc4556d4e5cad370eqIdca19c700219248bdb9970e80e029af74成等比数列.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)求数列eqIdd1abb50db31c44c6b922ea9910827b98的前n项和eqId92ed363a54bd4a8a93df9463bb3af1f5.
难度: 0.65 | 2020·浙江高一期末
20. 已知eqId16b2d18d734d4c27ae5ae88337af4dfb,函数eqIdc74956441e354b86ac5e57b8be696227.
(1)当eqId353d918c839747d0a59b7c6bd24f35e8,解不等式eqId58e6800330f14bfca1c0f0a4454c68f9
(2)若对任意的eqIdf55410feac434626ab025684aec1ff3c,不等式eqId55e5eb5ea1b54a088dddd0da89d7eb91恒成立,求m的取值范围.
难度: 0.65 | 2020·浙江高一期末
21. 在平面直角坐标系xOy中,eqIdf6481f850e02434fbd5646f8381f3e7d.
(1)过点eqId9ddf8e586e85425bb0d0d4bcaf4e5e1eeqId40c06fc1f1074bfc966483f03bc0c1e9的切线,求切线的方程;
(2)过点eqIdf392d132a8c142cab37b7ec2c450dfdc作两条互相垂直的直线分别与eqId40c06fc1f1074bfc966483f03bc0c1e9交于ACBD四点,求四边形ABCD面积的最大值.
难度: 0.65 | 2020·浙江高一期末
22. 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId032284ef281340a78dbf643944ff8cd4eqId846bcd607c534aee972a38ff5059ac57.
(1)求eqId0509add794484602a2c710f41d9ddddceqId5cae532f2168495188622189ec8df62c的值,并求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)若eqId7a59513b92ea4945aa45c3858e9cee2e,求数列eqIdea9b9da3656f41f191cd1c583830b542的前eqIdf458db68122849abb588feb2e682d9ac项和eqIddb5481de79c946c0a760143297d5eade
(3)若数列eqId88ef23c03cc5404f9ddfcd092ce5ed85的前n项和为eqId92ed363a54bd4a8a93df9463bb3af1f5,求证:eqIdac75d769cfe94e7fa4c3c3a34c2c576c.