组卷网>知识点选题>等比中项法判断等比数列
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| 共计 55 道试题
填空题 | 较易(0.85) | 2021·全国高二专题练习
1 . 已知数列eqId054d5a7de5684002909fe944c86227c2中,eqIdef51378d6b3048fc94aece7f1b93e1afeqId26f9bfb0018f4b2f801e2d672bafc2ceeqIddb965164cecf49f78e451ff1fcc1be0e.则数列eqId054d5a7de5684002909fe944c86227c2的通项公式为__________.
更新:2021/08/01组卷:0
填空题 | 一般(0.65) | 2021·辽宁高三其他模拟
2 . 正项数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId6695fad950ae46e287859f35fd12f477,若eqId58bfbfc4f67241318a045fcb221cf554,则eqIdcd85592d73fd483c903abca385f2f56a________
单选题 | 一般(0.65) | 2021·四川高三三模(理)
3 . 在递增的数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId12480feb973c469197157e289f03537a,若eqIdf0612c47ef804d69bc97a446897f2207,且前eqIda4be99d332154d13a4a6ed1ff6444fe7项和eqId3abeaea9785f46f9adfda48820653944,则eqIdd33c7c1015944e2b81de4ff8695de842(   )
A.3B.4C.5D.6
4 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a为等比数列,若数列eqIdb4e6ab97899d4a62a76927a3f2e5599c也是等比数列,则数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式可以为______.(写出一个即可)
单选题 | 一般(0.65) | 2021·江西高三三模(理)
5 . 数列eqId93e38ecd74a24cb59da79181b95bfd3a是以a为首项,q为公比的等比数列,数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63满足eqId27fc7d7d6eed4008bf49ac8caa189f23,数列eqId74ef5fe5183946caaee41d8974816a20满足eqId1b2628b2b9204f4586d8686a5ff01c26,若eqId74ef5fe5183946caaee41d8974816a20为等比数列,则eqIda9ca9715f7f24baa9a6f8922d7d84f90(   )
A.1B.2C.3D.4
6 . 已知eqIdad71ca97f41446bc82ff3a4f8df0cba7eqId75d1a55be395481cb0d2443f10517336eqId936f362f6e8a40f7bda9e07d76148927eqIdfd8cb31562ff4617b51ba70c88dc27c8,则下列等式一定成立的是(   )
A.eqId75691f28a5bb4c8287401017aa3a2d29eqIdffd85c9fafda46399505b2e10887decfeqId5cae532f2168495188622189ec8df62c成等比数列B.eqId0509add794484602a2c710f41d9ddddceqIdaf13aeead2384df2af798f580c70a03ceqId75691f28a5bb4c8287401017aa3a2d29成等比数列
C.eqId5cae532f2168495188622189ec8df62ceqIda426eea4f13a449799e5630808411765eqIdd80748a60dc04eb5bc4556d4e5cad370成等比数列D.eqId75691f28a5bb4c8287401017aa3a2d29eqIdaf13aeead2384df2af798f580c70a03ceqIdd80748a60dc04eb5bc4556d4e5cad370成等比数列
7 . 在等比数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId6a66565cb50049aa9ca1ffd617abe7a3,则下列结论一定成立的是(   )
A.eqId323e7557fb3c4e98a24ed75deefbc981eqIda74bbc841dd34d6ea053b4a5f9369767eqId90ed2877301345aaa59fe93006f4b30f成等比数列B.eqId0509add794484602a2c710f41d9ddddceqIdeb24b9172c83447ca3af28cec30a0528eqIde1a9c212ab074a5fb729394ac0c89e76成等比数列
C.eqId568e4700ec474221acd0fe48e6840910eqIddcc74d2481d24f31b8e0c276bf66bdeeeqId3f4ddf8d51e642c4ade8621cc3bd4ab3成等差数列D.eqId5da529c73b7e42d2ba057ef94c99ddb8eqId3132e1d1186447d2bb892810b5efb8d8eqId108a9e258787476aa441640a51542387成等差数列
单选题 | 较易(0.85) | 2020·江苏高二月考
8 . 已知数列eqId2c1230a9ef5a4968be599681d676dd2b的通项为eqId23b7e635ea204538954f4873214f0934,若eqIdd908825af4c8430ab1baaf985f5d931f成等比数列,则eqIdd33c7c1015944e2b81de4ff8695de842(   )
A.9B.12C.15D.18
解答题 | 一般(0.65) | 2021·山东高三一模
9 . 在①eqId1076906748334a7f9009d7d2d74bb917;②eqId6cdec4a6d44b4d188c89b92479a86fee;③eqId28766a8a0ee141fcb710ab22c000412eeqId1b870f8b46dc466aa4eb8cceaae660c7eqIdef998e9c003e4d0da2077ba38b3887a9.这三个条件中任选一个,补充在下面问题中,并解决该问题.
问题:已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足______(eqIdc73ad4de0ec14cba91db08ec61124907),若eqId1c1d1b4aec874b49992633a312c5db8e,求数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqId92478644b29a4a0e8470a8c89d31b49f项和eqId92ed363a54bd4a8a93df9463bb3af1f5
解答题 | 一般(0.65) |
10 . 已知abcxyz都是不等于1的正数,且ax=by=czeqIdb528eaeda84a4cccb17bfd200e234f0c成等差数列.求证:abc成等比数列.
更新:2021/03/18组卷:92
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