充值 服务号
首页>试卷详情页
沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 7.2(2)等差数列的定义与通项公式的应用
适用年级:高二 试卷类型:课时练习 试题总数:22 浏览次数:25 上传日期:2020-06-30
1 . 已知等差数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId65d1f5452a354b36b06b475e83ba9153
(1)求数列的通项;
(2)满足eqId4fc556a7bfc84721acd9a3937933f104的共有几项?
更新:2020/06/30难度:0.85题型:解答题组卷:34
2 . 已知eqId8ae28e4ba7c84274adb45168558687b8,数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqIdc6635676cc974f69982629b87a7c6b24
(1)求证:eqId88ef23c03cc5404f9ddfcd092ce5ed85是等差数列;
(2)若eqId1c0aa976757c4cf787f6c578868ca693,求eqIdde617d2b3a2e45fdbf7f4355e11e70ec的值.
更新:2020/06/30难度:0.85题型:解答题组卷:60
3 . 设数列eqIdc4b2a38212804f0aa7a2b74ea71bf775是等差数列,且公差为d,若数列eqId93e38ecd74a24cb59da79181b95bfd3a中任意(不同)两项之和仍是该数列中的一项,则称该数列是“封闭数列”.
(1)若eqId21a6fbb3b3324bdab48d76bf17872c90,求证:该数列是“封闭数列”;
(2)试判断数列eqId9f1786bb17a548fda0e88ffab12a8499是否为“封闭数列”,为什么?
更新:2020/06/30难度:0.65题型:解答题组卷:6
4 . 已知奇函数eqId6f13759e937144069819aed2ae5a1057是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的增函数,数列eqId13eb2908e50945b5802917d3108bb405是一个公差为eqIdc052ddfbd4524f67a79e0e77c2e5656a的等差数列,满足eqId9f4ffecb5e454996924801a289a52a32,求eqIdf0ebc2397d9e4670b4c8d34d20cba3f1的值.
更新:2020/06/30难度:0.85题型:解答题组卷:6
5 . 设eqId6923d0e3d7db4812a9c355786b8565e3,且两数列eqIdd1ab2cbd2594459c8789d826c0fd6b8ceqIdafc59599229e4bd9930c05043464ec63都成等差数列,则eqId83cf95c3cf0142d89a9750b230e31999______.
更新:2020/06/30难度:0.85题型:填空题组卷:15
6 . 在等差数列eqId93e38ecd74a24cb59da79181b95bfd3a中,若eqIdd80b347c4e1241cda6d78151a798ce6a,则eqId5fcd6a3d6d1d4403beda8f2f96ad9681_____.
更新:2020/06/30难度:0.85题型:填空题组卷:51
7 . 从等差数列84,80,76,…的第____项开始,以后各项均为负值.
更新:2020/06/30难度:0.94题型:填空题组卷:16
8 . 在等差数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId1dafb20fe70a43de8c426f8d8b385413,从第10项开始比1大,则公差d的取值范围是_________.
更新:2020/06/30难度:0.65题型:填空题组卷:326
9 . 在等差数列eqId93e38ecd74a24cb59da79181b95bfd3a中,已知eqIdda96f12eb10b4c00b5286301d0f24ca5为______.
更新:2020/06/30难度:0.85题型:填空题组卷:4
10 . 设数列eqId054d5a7de5684002909fe944c86227c2的通项为eqIda5a29c3bf3824870adf4c65c6398c44f,则eqIddbb10b856fa84064aba2f28c0f829be4____________.
更新:2020/06/30难度:0.85题型:填空题组卷:534
11 . 一个三角形的三个内角eqId10bbe48f886a4fa78fdf8c1fd064f9b4成等差数列,其三边eqId0ce93bfa1f6a4a23b3258410dd19847a也成等差数列,则该三角形的形状为_____.
更新:2020/06/30难度:0.65题型:填空题组卷:45
12 . 下面是关于公差d>0的等差数列{an}的四个命题:
p1:数列{an}是递增数列;
p2:数列{nan}是递增数列;
p3:数列eqId557ea12e42754a21bc975f7945239cfb是递增数列;
p4:数列{an+3nd}是递增数列.
其中的真命题为________
更新:2020/06/30难度:0.85题型:填空题组卷:167
13 . 试判断数列eqId93e38ecd74a24cb59da79181b95bfd3a为等差数列是eqId87b54dab257b4657b3fcd502969a0244eqId0c243e5dded24989821daf9bef2676a6eqIda5d0fc594d4048549d5bbda484fbecc8为常数,且eqId6fc391de3f954da48448c9557c67c038eqId532dc4d959024b79b546428f5856e5aa)的什么条件?并说明理由.
更新:2020/06/30难度:0.85题型:解答题组卷:5
14 . 已知三个正数eqId0ce93bfa1f6a4a23b3258410dd19847a成等差数列,且公差不为零.求证:eqIde60abf3ecaa8437582ba57a3bd200980不可能成等差数列.
更新:2020/06/30难度:0.85题型:解答题组卷:7
15 . 已知等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的公差不为零,eqId75691f28a5bb4c8287401017aa3a2d29eqId0509add794484602a2c710f41d9ddddc是方程eqId1b740830b7d341e79c50e5a93c0aa762的根,求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式.
更新:2020/06/30难度:0.85题型:解答题组卷:43
16 . 设数列eqIdfca343da1efc413487359c1551da9dbe,2,5,8,…的通项公式是eqId1ccda730edb646e4932418386f5caa06,问eqIde64907c7f5b144a89f60bb4c7948e8fa是该数列的第几项?该数列的第eqId16915e0b1cb849dd911814a3ca35d611项是什么?
更新:2020/06/30难度:0.85题型:解答题组卷:7
17 . 证明数列eqId7394eeb78c004c5ca1fc94b11bbdb31f是等差数列.
更新:2020/06/30难度:0.85题型:解答题组卷:4
18 . 已知一个数列的通项为eqIdce6465d827514c949e846eccd5ac6fea,再构成一个数列eqId2528dc6875314d15ae9f5a4a41e7b244,…,这个数列是否为常数列?证明你的结论.
更新:2020/06/30难度:0.65题型:解答题组卷:6
19 . 已知等差数列eqId93e38ecd74a24cb59da79181b95bfd3a,公差为eqId096e32e1d18145d199ccbacb5a9a85fe.
(1)令eqId9ab73bba39bb4185aa73d8b2026b0970,试证数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63为等差数列,并求出公差;
(2)推广到一般情形,令eqId4ce06074e4604136a0112d22232a6545eqId4d2187284c5d4de29906363f7d21f60f为正整数),仿照(1)的结论,请叙述关于数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的相应结论.
更新:2020/06/30难度:0.65题型:解答题组卷:38
20 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId77b3f6b9955e499dbdab033a38779496eqIdf085e0c16954438aa234bcc51ca5ed45,试求eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式.
更新:2020/06/30难度:0.85题型:解答题组卷:28
21 . 已知各项均为正数的两个数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63,满足:eqId97b6a653f07d49969305fe023077e662,设eqId99a7c1e822f341c1981ffdda3129e9e2,求证:数列eqId2bf4847eac994cb09a7465aa3c5bb852是等差数列.
更新:2020/06/30难度:0.85题型:解答题组卷:6
22 . 给定常数eqIda669f4635de949a9818a4df388f421b1,定义函数eqId85ae49af4bae4513bf815c9d03ae71dd,数列eqId43c4c2d2c70848af841d43401d720034满足eqIdcc10643864bb46e987e2710adac05e72.
(1)若eqId46f58189df264f5d85d187a78ad59340,求eqId0509add794484602a2c710f41d9ddddceqId5cae532f2168495188622189ec8df62c
(2)求证:对任意eqId97b428ca4884409b8eaf1dd629b9e2f2,;
(3)是否存在eqId75691f28a5bb4c8287401017aa3a2d29,使得eqId6bc5258b075d4bc28d732c3dc2f1c63d成等差数列?若存在,求出所有这样的eqId75691f28a5bb4c8287401017aa3a2d29,若不存在,说明理由.
更新:2020/07/04难度:0.15题型:解答题组卷:1851