组卷网>知识点选题>利用基本不等式证明不等式
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2 . (1)设ab是两个不相等的正数,若eqId48f4d3c9708642e897e72cb8fb7955f8,证明:eqIdabf95eaa98b04e1198525b4e1371084d
(2)已知eqIdaab84fd2a1854ca39f58e18da9d41762,证明:eqId18d0aeae03394081b39956d603c4f988
4 . 设函数eqIdcbf90ce897de4cc19976dc67cf33a562的最小值为eqIda4be99d332154d13a4a6ed1ff6444fe7.
(1)求eqIda4be99d332154d13a4a6ed1ff6444fe7的值;
(2)若eqId613b8e772da445d6bcf088aa473e7137,且eqId9801cf6dd06d4795b1de9d794bd19494eqId52d9d37ef9844891b1d11f7b3d1be248,用eqId749005f1d07c4ac8a646112ca506aa65表示eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba中的最大值,证明:eqIda87c80626cf94405a51797d4b8fc8b64
解答题 | 较易(0.85) | 2021·河南高二期中(文)
5 . 已知eqIdea911cc4d13345ad97374e715dc1a581,求证:eqId55fd21ccd00c48ba818f7221c89c96e7对任意实数eqId44925af6fb19413689ba5616e3647cba恒成立.
6 . .已知eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba是正实数,且eqIdda7898e789e74bc1b6b59eccaf890327.
(1)证明:eqIda1a245f6054b4dfd84a5b8f43b399fd0
(2)求eqIdd7d99ad0a3d4479489cb3a6ddc32c412的最大值.
10 . 已知函数eqId4dfe31ac67294dfea2b5322adfbbb965.
(1)求函数eqId28c4c21271884dfeac29ce0222782376的取值范围;
(2)若eqId28c4c21271884dfeac29ce0222782376的最小值为eqId517584fed25c413ba8b7bb33ffa2d5c6,且eqId83e0e75ce2dd41598fecfa3768b2a4d9eqIdd9a398ee4c6c40338e0ffdc5ea68e656,求证:eqIdb604976c95334d8e96be759de030b0dd.
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