组卷网>知识点选题>已知二次函数最值求参数
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1 . 已知函数eqIdca9aeed9307d47718546f2d2198cb422是幂函数eqIde15981fbff7d4970aeecae314a80bb0f,且eqId702e7b2ae91b41669144e788f9f31395.
(1)求函数eqId10852d81bc184140a7780250c82c6929的解析式;
(2)试判断是否存在实数eqIdaea992e70d4943e49e893817eb885ed7,使得函数eqIdacdd140208a24b97998e9a6f2aa50ecc在区间eqIdd4875002eab644559d85b2e36e903b70上的最大值为6,若存在,求出b的值;若不存在,请说明理由.
2 . 设函数eqId81ea99ab31474d638b2cca0a8ca6bf15,已知eqId78589ede94d94669a27c18ab91998333的解集为eqId9e3259eba44844e7bcc3a99bada008ef
(1)求eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba的值;
(2)若函数eqId5d6ab02a021c4047bb3cd02faefabb30在区间eqId7866cdd713694d23943f903588364452上的最小值为eqId8d0a28cfeffc45b899be186d5202049d,求实数eqId70a27b6ddf6b478285353abb3b1f3741的值.
3 . 已知函数eqId198532fe72584cd788143cafc2f00f71在区间eqIdc4ede4fc7df041e3a07e3f97318bdd84上有最大值4和最小值eqId6b7384efc2464ef5877e330357f81504
(1)求eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7的值;
(2)设eqId0f4472baa7a54e05a35a6fcf04c9f94a
①若eqId79442dcac7014b1e80b9dd41cb4ba0fa时,eqId126f67cc6b28443da098e9ecddbdbd23,求实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围;
②若方程eqId479c2ba8444147dc8dba2cfcfa0f31a0有三个不同的实数解,求实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
解答题 | 较难(0.4) | 2021·上海市建平中学高二期末
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4 . 已知函数eqIdc632f24304224f21b74958fb14103f77
(1)若fa+1)=f(2a),求a的值;
(2)若函数yfx)在x∈[2,3]的最小值为5-a,求实数a的取值范围;
(3)是否存在整数mn使得关于x的不等式mfx)≤n的解集恰为[mn]?若存在,请求出mn的值:若不存在,请说明理由.
解答题 | 一般(0.65) | 2021·江西高二期末(文)
5 . 已知函数eqId2bd40b173acd4bcebf2d428a5b5d50bb在区间eqId852080a325c74a18a19abfbfd58b7d22上有最大值3和最小值-1.
(1)求实数mn的值;
(2)设eqId0716408da302416c8e8ba4ced9c92db6,若不等式eqId86f066180369455cb51bc21e53739372eqId0f0384d1a3bd4911841e8c09343be9f4上恒成立,求实数k的取值范围.
单选题 | 较易(0.85) | 2021·江苏高二月考
6 . 已知函数eqId897e02dfeeb140339b092fe496d3b91f,且eqIde4a0e3706b56447b90fe1b2781f91b14最大值为eqIddecb09bfb0764731ba6aba0143473e56,则实数a的取值范围为(   )
A.eqIdca78aaf885f842a9aa79a2e7c6698c29B.eqIdbed072e85c5d4279804bcb9dedbd3f75C.eqIdaf7d4eac4aab478281742a012f957c3bD.eqId584bc5a6b81c41a0824b4f676daf3a4e
7 . 已知函数eqIda168ab2a4ade45028e769773f03bfde6eqId982da3835b7946d999cc8604a2ece266)在区间eqIdc4ede4fc7df041e3a07e3f97318bdd84上的最大值为4,最小值为1,记eqId41db499f763e4f1bbe7357f7c26cd421
(1)求实数eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7的值;
(2)若不等式eqId7db13ac3c34847c193a50933aa285aaa成立,求实数的取值范围.
填空题 | 一般(0.65) |
8 . 已知函数eqIdfb65cf391a444273b5e4fc8cacc0d565为定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的偶函数,当eqIdcb9cb8feb01f448397391534bb1367d5时,函数eqId0e89bb4d95d8425ca9c1260b9f5bbed6的最小值为1,则eqId783c5f01aa1e49b29f88c27d2eca4354______.
更新:2021/05/26组卷:385
解答题 | 较难(0.4) |
9 . 已知二次函数eqIda87307a66c744479b283e3bb5f7a2f81
(1)若eqId4837c94ef0ff4dcf9b1dda4df363275aeqId7866cdd713694d23943f903588364452的最大值为eqIdddd35c5d043e4ebeac32a99367053c68,求eqId70a27b6ddf6b478285353abb3b1f3741的值;
(2)若对任意实数eqId69f56ef2c88b4b73a560da59f5247a82,总存在eqId0d44317f25bb43cca34d08300824fa79,使得eqId235e28610a0f4c46beb65446db7eb706.求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
更新:2021/05/24组卷:504
单选题 | 较易(0.85) | 2021·浙江高三二模
10 . 已知eqIdbebedfbf2b294c4a9e5d9e18d2abf5d9,对任意的eqId735b8047beee4dee870fc72ae837a245eqId481180d289694fcb98b57ec8cc4b44a6.方程eqId6ec1fd207e8c4f268be9e09134c8a07ceqId42bc9cf0bfef4206a624dc1cf9cc1715上有解,则eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围是(   )
A.eqId42bc9cf0bfef4206a624dc1cf9cc1715B.eqId3851d40d4bbc414c8402f238ab04ad27C.eqId22e6923724df40db9c168245e7707ab3D.eqId9b3218f5a8464e7098503e8befdcfa1e
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