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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(4)等差数列的前n项和公式的灵活应用
适用年级:高二 试卷类型:课时练习 试题总数:20 浏览次数:17 上传日期:2020-06-30
1 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和eqId5a232e1da16e48fb887130ffe1f85a6f,求数列eqId61920640dbc0439fb3d182ec901b821e的前eqIdf458db68122849abb588feb2e682d9ac项和eqId92ed363a54bd4a8a93df9463bb3af1f5
更新:2020/06/30难度:0.65题型:解答题组卷:31
2 . 设等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eade,已知eqId4c5c48e149cf481e91b1fff0254b62e1eqId330b78d533da4f5ba52ced32687e1ca3
(1)求公差d的取值范围并说明理由;
(2)指出eqIde3330f1de7cc45d6bcff95bd5f77bec0中哪一个值最大,并说明理由.
更新:2020/06/30难度:0.65题型:解答题组卷:24
3 . 设各项全不为零的数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eade,且eqId2c9ceaf952fe407686450168468a5ed5,其中eqId77b3f6b9955e499dbdab033a38779496,求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式.
更新:2020/06/30难度:0.65题型:解答题组卷:15
4 . 若eqId93e38ecd74a24cb59da79181b95bfd3a为等差数列,公差为eqId49b7b111d23b44a9990c2312dc3b7ed9,且eqId3e20affa54dc49cab8074e39145273ff,则eqId106a4c45d958420fa1d3a1dc115669e1的值是_______.
更新:2020/06/30难度:0.85题型:填空题组卷:33
5 . 等差数列前10项的和为10,第11项至第20项的和为eqId9b95ceb49c0f470694959db63b69f926,则第21项至第30项的和是_______.
更新:2020/06/30难度:0.65题型:填空题组卷:23
6 . 已知eqId97fcfc84f8984b6fa20af6ab8e6fe457,则n的值是_______.
更新:2020/06/30难度:0.94题型:填空题组卷:13
7 . 一个数列的前n项和eqIde1079fc832a847e590cc0de535e1730d,则eqId498396ab50934a31ba4c21e5d590dbd6______.
更新:2020/06/30难度:0.85题型:填空题组卷:37
8 . 已知等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的首项eqIdd0c0b6cd7e7f40f68ac30ad0026e306c,前n项和为eqIddb5481de79c946c0a760143297d5eade,若eqIdcd929f66ccf745dabe87d00cfed9d9c9,则当eqIddb5481de79c946c0a760143297d5eade取得最大值时,n的值为__________.
更新:2020/06/30难度:0.65题型:填空题组卷:22
9 . 在数列eqId5e5086929bc04a68a227cd2743e40c58在中,eqId08c32d85c49a471492649f0d2aefa674eqId21e5d89199944babb4f81735157b9ec5eqIdfb0a764a25764da197b976f9f2240dc0,其中eqId4959a8a13c0b40f3a3b076626a4b616c为常数,则eqId33a0ce6604174813962deaf49d68ee80      
更新:2020/06/30难度:0.94题型:填空题组卷:634
10 . 集合eqId1f9dc5d925374e4b8d4e7037934b3327的各元素之和为______.
更新:2020/06/30难度:0.65题型:填空题组卷:34
11 . 已知两个等差数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqIdf458db68122849abb588feb2e682d9ac项和的比eqIdeb8a035a46e74f188330bb0fc22ae052,则它们相应的第eqIdf458db68122849abb588feb2e682d9ac项的比eqIdfb52d64422db4be5b4756cb2c471f438______.
更新:2020/06/30难度:0.65题型:填空题组卷:30
12 . 在数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId95d39bc65c7046649baebafbfc0adb7d,对任意正整数n都有eqIde7aae36840e145a89dc0a24becae07af恒成立,则实数k的取值范围为______.
更新:2020/06/30难度:0.65题型:填空题组卷:26
13 . 等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和记为eqIddb5481de79c946c0a760143297d5eade.若eqId81150e867d3a4bf19ae5e15d024ed5cd为一个确定的常数,则下列各数也是常数的是(   ).
A.eqId4e6988821e434e058c4c7a16d5d85587B.eqIda3c77526352a407da2054efb15e9887dC.eqId9838cce112624ff0b0f1901fc29e2875D.eqIdd32233002c6b41a8a046d42f5c43cf0e
更新:2020/06/30难度:0.85题型:单选题组卷:120
14 . 已知等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的公差为d,若此数列的前20项和eqId8adfa459038744459114c5b71c229398,则下列结论中正确的是(   ).
A.eqId1b95eee658f140e5b316397bcd46a3adB.eqId9210511dab254786b9e5878d2255c31eC.eqId46d2d1e19fbb4f6cb16fca288b44467dD.eqIdfaf4ae695bc9444ebbc624f21d266359
更新:2020/06/30难度:0.85题型:单选题组卷:14
15 . 方程eqId59e5097eeb6146a0a60edb694a4c7a06的四个根组成首项为eqIde41289c7307b48bd893a195b321d250f的等差数列,求其公差deqId4959a8a13c0b40f3a3b076626a4b616c的值.
更新:2020/06/30难度:0.65题型:解答题组卷:7
16 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eadeeqIddf0355fa229f4025af65817a1e6bb262),且满足eqId681ee32b0980433e94ff5b7e029a5760eqIdea2fd8baa3624993a96d372fa40d0e75eqId275f6f3282c444ad8a2fd8e75251a738).
(1)求证eqIda4a8f097158842c99246acee68ad20d3是等差数列;
(2)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式.
更新:2020/06/30难度:0.65题型:解答题组卷:234
17 . 设数列eqId93e38ecd74a24cb59da79181b95bfd3a是等差数列,其首项eqId77b3f6b9955e499dbdab033a38779496,公差eqId719554d9759e4af39bd26f58ef0ee399eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eade,且对任意eqId532dc4d959024b79b546428f5856e5aa,总存在eqId71f7d22ebac349c391d5441916c5c790,使得eqId26a8ade2a5a2490fbe6d8cd447c5ccd4.求d的值.
更新:2020/06/30难度:0.85题型:解答题组卷:7
18 . 设数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式为eqId9ec30d27cbde4569a6e2879344f531a8.数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63定义如下:对于正整数meqIdbff4c9a923eb4b9f91eb264be10fe4b4是使得不等式eqIdaa2eb112e649419eb1f4800f1a95913b成立的所有n中的最小值.
(1)若eqId7d93361bcbd14294b2b9c491dfefbebfeqIdfed5a813bc4849feaee42a87e35e2c09,求eqId366cae234e024c18a9452147867e83c8
(2)若eqId10733093f7274b47abdf247b093a0d5beqId04eb77f521ee4606bba07ac8a8ad0411,求数列eqId04db04b810e94ad9aa0827918858d9e6的前2m项和公式;
更新:2020/06/30难度:0.65题型:解答题组卷:50
19 . 等差数列eqId5e5086929bc04a68a227cd2743e40c58的前n项和为eqIddb5481de79c946c0a760143297d5eade,已知eqIdea485a637780488596de0e0b1a4a16e0eqId0509add794484602a2c710f41d9ddddc为整数,且eqId4578a312a32c4c4f8e269b9a428f1588.
(1)求eqId5e5086929bc04a68a227cd2743e40c58的通项公式;
(2)设eqIdd85095493d7a422dba1a844fe067e937,求数列eqIdc0ebd74a6f9b49789d8e8fee23a50de6的前n项和eqId92ed363a54bd4a8a93df9463bb3af1f5.
更新:2020/06/30难度:0.85题型:解答题组卷:5045
20 . 设各项均为正数的数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和为eqIddb5481de79c946c0a760143297d5eade,已知eqId9c47930e7e664153b6183974f1ed2305,数列eqIdea637525b0364925806bde5d4bdbfd9c是公差为d的等差数列.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式(用eqId4ce3d847e6cf4ac5ac3fb8a558558395表示);
(2)设c为实数,对满足eqIdaea08b38bcae4ec0b10c8486e314f74deqId44cfe7181d57473499acde47b6b75599的任意正整数eqId2554e66147f34e26a2e486bc7414c71c,不等式eqId3c1b200040ed48f295d2a914fee49e8c都成立.求证:c的最大值为eqId0c34b200ff98472c81a84cd8f0116762.
更新:2020/06/30难度:0.65题型:解答题组卷:8