组卷网>知识点选题>一元二次型不等式恒成立问题
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1 . 已知关于eqIda9cd3f94eb8045438f75e9daccfa7200的不等式eqIdfc04aa68f50d4bc297b0ca1eeb5e0ac8.
(1)若不等式的解集为eqIdc339bd980c1f4ec48c9fd1b214a69d13,求实数eqId4d2187284c5d4de29906363f7d21f60f的值;
(2)若eqIdc053f32984844a5ea4c188f4d6fc449a,且不等式对eqId2e51e1bc205c474b8d210b34a7251f11都成立,求实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
2 . 已知函数eqId999f3c3b113c4d3ebccc5e9b0f5cb7f1.
(1)若eqId5df9e339f957432c9aa2af743a279e68,关于eqIda9cd3f94eb8045438f75e9daccfa7200的不等式eqIdfbf32b4d9d98459ea78d890d862dbb8f在区间eqId7aaf614a842d4eda87d1d901339c1566上恒成立,求eqIdaea992e70d4943e49e893817eb885ed7的取值范围;
(2)若eqIde28fbcee98794bd19b991981c6ed2721,解关于eqIda9cd3f94eb8045438f75e9daccfa7200的不等式eqId78589ede94d94669a27c18ab91998333.
解答题 | 一般(0.65) | 2022·全国高三专题练习
4 . 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
5 . 若命题“eqId6709283711bf4ae39fde99d031d3bb28eqIdb875d7d6efee4dca9f63ff1879fabfdd”是真命题,则实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围为______
6 . 已知函数eqId05693a7a93534ad793b2bc58ad37e4f3eqId300acf24bead4e96bae2f18f26dcaee1.
(1)若当eqId6fc94f6e181444c6b809fb393eb8fae6时,不等式eqIdb5fe4d392fc14e48a3eb9375150bc7f9恒成立,求实数eqId22d6117c1dd94466972a94a4e1de0edb的值;
(2)求函数eqId6e9763c2197e49999e1689f1df5798a3在区间eqId6bd14be9ed154d40806249eacfc1d2ab上的最大值.
7 . 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.
8 . 已知关于x的不等式eqIdad0a33113db74ed0b81bea3c43854d12
(1)当eqIdca4ab76061b14cdfbb5b2cb8cf37b9c0时,解关于x的不等式;
(2)当eqIddf865a2a8c4449abb0c8205fd5f761ac时,不等式eqIdad0a33113db74ed0b81bea3c43854d12恒成立,求x的取值范围.
9 . (1)已知一元二次不等式eqId35beb20513174f64bf9bdfae6abed8ed的解集为eqId1e6b84357a544c269d4d13b9b44cd30f,求eqId9a8a9e8cdd154fa599c6b1e25642f170
(2)若不等式eqId0ca552d0dc304e1592e9fab72547479f在实数集eqId38a1a72a865d4179b3b243977e23dce4上恒成立,求eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围.
10 . (1)已知eqId982da3835b7946d999cc8604a2ece266eqId8164502d09d44990ac4f2f73ea67e37aeqIdb13e849a34354b6e85f1c10ac729ab0a.求eqId4896e0b6b57542ed8b6cc441b3f52180的最小值;
(2)已知函数eqId52f524a3c1d14887bc7db3dccd955889.若对任意eqId874c96dde55946b4a10829b88d08038ceqId68adc111893349609769d3c45cfed699恒成立,求eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围.
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