组卷网>知识点选题>利用基本不等式求参数范围
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解答题 | 一般(0.65) | 2022·全国高三专题练习
1 . 已知函数eqId93d2e5c44faf48a9a12343d7ff9faadeeqIdc51ad99eb7084c2f82553a0973013dd1时的最小值为eqIda4be99d332154d13a4a6ed1ff6444fe7
(1)求eqIda4be99d332154d13a4a6ed1ff6444fe7
(2)若函数eqId5060d5e2f6584eebb322aa867c87c787的定义域为eqId7dcd2312d0bf4bb1befdfcc170e45791,求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
更新:2021/07/31组卷:0
单选题 | 较易(0.85) |
2 . 已知eqId982da3835b7946d999cc8604a2ece266eqId8164502d09d44990ac4f2f73ea67e37a,若不等式eqId71bff448dacf4b2cbcdb8da79bd14afc恒成立,则m的最大值为(   )
A.10B.12C.16D.9
更新:2021/07/29组卷:190
填空题 | 较易(0.85) | 2021·重庆八中高三月考
3 . 若实数xy满足eqId8d110a15924b4becbe4afeee7d79749d,且eqId7d4e23b3494e4d6a98d2f7cfc75a947c,则eqId6431249aac264f8daae2aadacd461ff8的最小值是_______________.
4 . 若x>0,y>0,x+y=1,且eqIde0e3cc20861444138a41694fb4e042cc恒成立,则实数m取值范围为(   )
A.eqId74c19d26c3b84210b9fae81202490390B.eqIda5740d31363f4107911e39c8bd517724C.eqId53735c215a094565adc1526afcd6c840D.eqId5225f02d19014ccaa705a8ba288c85c0
5 . 已知函数eqIdca1ab566352e47a4ace1ba775426f216
(1)关于eqIda9cd3f94eb8045438f75e9daccfa7200的不等式eqId734ea8dee35d45f08c2ec32fce4a49ef的解集恰好为eqId97aa9ba3ef61401d805856c4db755817,求eqId70a27b6ddf6b478285353abb3b1f3741的值;
(2)若对任意的eqId1f106ecfd6ea46b2a4d1724aa935d9ebeqId7f95be1675504f0e8212f21d72fdb530恒成立,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
单选题 | 一般(0.65) | 2021·安徽高二月考(理)
6 . 已知eqId3eb7762bb4004d8ba6c01e5de1dd46e3,且eqId403811f936b24beb8a1e11b6d089314f,不等式eqId0ffad016ae024548955f8f465c8b3e08恒成立,则正实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围是(   ).
A.eqIdaf7d4eac4aab478281742a012f957c3bB.eqIdfbadbb75e5254062866b74c4b06f2c64C.eqId9dd1c60df31c4134bf410066fe47e0f3D.eqIdc4f5aa7f58aa4febb74616f4c132222b
7 . 已知不等式eqId43585359bbd04675baca48b52313028e对一切eqId43053d16425942bcb04e2b5e329d7f12恒成立,则实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围是(   )
A.eqId184eb81c7cec4c89b724349c2518a80bB.eqId23bf27584b5c4aa9ae3c6dbc2e8f3d34C.eqIdb261e5ecb0d54213a19989d556f3772aD.eqId80d3b3298d8f43d6bc332b1287e9bf4b
8 . eqId64b9b599fdb6481e9f8d9a94c102300b中,三边eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba满足成等差数列,三角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3满足eqId9f572def253e4337ab8320bc18e0efd4.且eqIdbfacc7116f6c435f9de5e756f9c0f470,若存在动点eqIdbedf755e0fdb4d078d6859360706b163满足eqId3a5e0997e2da40b7a455196decfe1f94,且eqId321b7b4be2504139bdb60767dcf872e9,则eqId3bd4c8b243594ac79241b8afa59f75e3的最大值为______
9 . 定义:复数eqId02ed4f80370b424e8e06f40eb4571566eqId9b1ee6393c8e41aeb5cba01e37b271a9的转置复数,记为eqId17aa23a198384d458d95f2fb34584354.若eqId899e06a915a6442cafe6c8a04079dfb3,则eqId5a26ae9f3bb444f59badde7c4815b7d6的最大值为______
10 . 已知eqIdc503478d931248fc9a777f1cafdad03eeqId5e9f35e7272d4439bb78aa896b95690f,且eqId5630dfcdee564f79a40d899eb7947512,其中eqIdc053f32984844a5ea4c188f4d6fc449a,则eqIdfc1ad564f06546869e44d6a84b22b73a的最小值为______
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