组卷网>知识点选题>利用函数图像解决不等式问题
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1 . 设m为给定的实常数,若函数yfx)在其定义域内存在实数eqId761b2917a82b4524b8dbab7e6380f014,使得eqIdc91a6a7fee624f979b029ad5c9c5643d成立,则称函数fx)为“Gm)函数”.
(1)若函数eqIdc849966698b946dfb67f33df021d9c55为“G(2)函数”,求实数eqId761b2917a82b4524b8dbab7e6380f014的值;
(2)已知eqId9c3fada03df048bbbe7aec1a834529d3为“G(0)函数”,设eqIdc8ffb8015aaf43e7b036afe7fc44a4fb.若对任意的eqId735b8047beee4dee870fc72ae837a245eqIddb81f905534a4e94a752f5fa22b1e4c4,当eqId70c08d40596445378a3ebc3942e99852时,都有eqId7802da76f0b44acfa225d40aef91017a成立,求实数t的最大值.
2 . 设函数eqId28f610eef5f8489bb7626ef2a1f9c05a,若不等式eqIdac121730997d49c1b6e9356c505f15d1,恰有两个整数解,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是__________.
多选题 | 一般(0.65) | 2021·辽宁高二期末
3 . 定义在R上的函数eqId6f13759e937144069819aed2ae5a1057,满足eqIdf988b018cec5434385e31498b2d8a784,且当eqId2e18f0fd096f4eb7b1014b7e745d6e20时,eqIdb8da0aeb8d1548fdb88efaefaef385e2,则使得eqId5ad04637a2544b599184155670d80f61eqId0d75c12e62da45dc94d1a24eee576e3a上恒成立的m可以是(   )
A.eqId7b1aaf239a69442fa58e336bf69f9cdfB.eqId9f05134d6efa4c6d9ca46aaa06d577f3C.eqId9be796c93eaf499485ae86976c8efe1aD.eqIddc37f86ed0fe453b85c8cea065848c1b
5 . 已知函数eqId4837c94ef0ff4dcf9b1dda4df363275a是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,当eqIdd7caa801b59d4def90d2fdb94a9b1c7c时,eqId2ee0d2a2f20a4114b8b7cddfe3f188b8若对任意的eqId6fc94f6e181444c6b809fb393eb8fae6,都有eqId1fc57a8503a34391a9b41eef28553d26,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围为__________.
单选题 | 较易(0.85) | 2021·重庆字水中学高二期末
6 . 已知eqIdf02615dded6743c4bebf66d2ac26e618eqId7dcd2312d0bf4bb1befdfcc170e45791上是可导函数,eqIdf02615dded6743c4bebf66d2ac26e618的图象如图所示,则不等式eqIdb5d9fbbfc9fb4752924394e39f59e5cb解集为(   )
说明: figure
A.eqIdd4aba4cc54d84a30ac5cb7f3dff7a640
B.eqId55df62cb61be45e1af9a0617bc62c8f8
C.eqId2adcc0db639b4d6696ee0ee8743fe8ee
D.eqIddf17833a232841bda7d847c23d278e7a
8 . 若定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数eqId4837c94ef0ff4dcf9b1dda4df363275aeqIddca4c31f92e1447fb6eceb9fdf294175上单调递减,且eqId2fea29cd89474d798167f8b011acf07e,则下列取值范围中的每个x都能使不等式eqIdeb9b7707a58648018f3b0e2a0156c5a9成立的是(   )
A.eqIdad34bd348af64b59a5ee0ad46b799464B.eqId897751560894498a8bf002f6864d4b77
C.eqIdc8278ce74d0f44a5b96433e84f30df8bD.eqId856f956423e4477aa80ce44202ce5dfc
9 . 设函数eqIdc54ec703141143f6a34d6ab91d80ad51,则不等式eqId8374926d70cd4c628e4165faa3875642的解集是___________.
10 . 已知函数eqId7c66a271f1ca459ba31755b52215282eeqIdeeb25f98e8be49f08d142eaaac672f2a,以下命题:
①若eqIda7a5d0cd20d1447fa5bb5ecf0cc44947,则eqId142fb6f8712a4e04a73b56741b7207aa
②若eqId142fb6f8712a4e04a73b56741b7207aa,则eqIda7a5d0cd20d1447fa5bb5ecf0cc44947
③若eqIda7a5d0cd20d1447fa5bb5ecf0cc44947,则eqId9bfee3c530d9456685b32c85c0155110
④若eqIda7a5d0cd20d1447fa5bb5ecf0cc44947,则eqId3efc917891574063a3896b737f0e3891
其中正确的序号是______
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