组卷网>知识点选题>单调性与奇偶性综合问题
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2 . 已知函数eqId10852d81bc184140a7780250c82c6929eqId7dcd2312d0bf4bb1befdfcc170e45791上的偶函数,对任意eqId735b8047beee4dee870fc72ae837a245eqId6ae412f37b494444bdaa9ac6c704a104,均有eqIdcce5a272657b4018812813a6f1245efa成立,若eqIdca6aeda2d6d1469b952c0b4507e7b9adeqIdecc2690863da4920a3750c814480f8e8eqIdaf61dd6d96a04ced890a885113c8505c,则eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba的大小关系是(   )
A.eqId45615ef0900647268b98d1d5eeb28a58B.eqIde20b3cdceb054975bbbb3a4598602bafC.eqIdde23c9bee5f2497a98f967afa9b73a7aD.eqId0d0cc8a6003c4e21bacd608a53c711cf
单选题 | 容易(0.94) | 2021·全国高三专题练习
3 . 如果奇函数eqId6f13759e937144069819aed2ae5a1057eqId4cbd0a350f6246e2bca168835851bd04上是增函数且最小值为5,那么eqId6f13759e937144069819aed2ae5a1057在区间eqIdf897828528214786b004406f1ea7470d上是(   )
A.增函数且最小值为eqId1d18010fc29e4f45abaaece953793246B.减函数且最小值为eqId1d18010fc29e4f45abaaece953793246
C.增函数且最大值为eqId1d18010fc29e4f45abaaece953793246D.减函数且最大值为eqId1d18010fc29e4f45abaaece953793246
解答题 | 一般(0.65) | 2021·全国高三专题练习
4 . 设函数eqId0a93c1e7095049819d3cabb91596fc7c,当eqIdaa1312dcc8e24925b421f7767761a363eqId3f98b30cbd504de3818521f0f1660230,且对任意实数eqId735b8047beee4dee870fc72ae837a245eqIdecaaaffea9af458c8e6dff16f15c1a73满足eqId9e8a1743d776474584b288584bc70409,当eqId70c08d40596445378a3ebc3942e99852时,eqIdd39b9961936245c99a55671e2bfdad47
(1)求eqId663253b535bc45e1936c67daacbced2a的值;
(2)求证:eqId9b37d03e47a347fc8fab9f814ba5fac4在R上为单调递增函数;
(3)判断eqId9b37d03e47a347fc8fab9f814ba5fac4的奇偶性;
(4)当eqId70c08d40596445378a3ebc3942e99852时,试比较eqId405aaf8102aa41c09c75a8dc45e8531eeqId04a376ccca3b4fb9ac7b040a8db5eac3的大小.
解答题 | 一般(0.65) | 2021·全国高三专题练习
5 . 解下列方程:
(1)eqId66b69a898e5841d1ba5b01aec022746c
(2)eqId44084ba44d5049df989e9736bcd8ff96
7 . 已知函数eqId62205d5cbcd242fa89ff04f3560bb4e6是昰义在eqId9c4f56b428bd4a5c947d36cfcedceddf上的奇函数,且eqId996e11d403b542619fa9beab691bdff7.
(1)确定函数eqId6f13759e937144069819aed2ae5a1057的解析式;
(2)用定义证明eqId6f13759e937144069819aed2ae5a1057eqId9c4f56b428bd4a5c947d36cfcedceddf上是增函数;
(3)解不等式:eqId7cddfad1fbe34f80a580c3f74fa66a0a.
单选题 | 较易(0.85) | 2022·全国高三专题练习
典型
8 . 幂函数eqIde49bff4dc1e34b7ab3ca786a84d46c98是偶函数,且在(0,+∞)上是减函数,则m的值为(   )
A.﹣6B.1C.6D.1或﹣6
更新:2021/09/19组卷:309
单选题 | 一般(0.65) | 2022·全国高三专题练习
9 . 设奇函数f(x)在(0,+∞)上为单调递减函数,且f(2)=0,则不等式eqId0dc710e8114d484b8b24905f9230f3b0≤0的解集为(   )
A.(-∞,-2]∪(0,2]B.[-2,0)∪[2,+∞)
C.(-∞,-2]∪[2,+∞)D.[-2,0)∪(0,2]
更新:2021/09/19组卷:398
10 . 已知函数eqId10852d81bc184140a7780250c82c6929是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,且eqIdd33caf0f775e4e1292c2d556ce120ca2时,eqId9378e14838124d7f8426483d2905aa0a.
(1)求函数eqId10852d81bc184140a7780250c82c6929的解析式;
(2)若eqIdb64a7aa460394ee49c3f76861831eac9任意eqIda9cd3f94eb8045438f75e9daccfa7200恒成立,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.