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2 . 已知定义在eqId3abaaedd36204e2cacb3fa4073cf99f5上的偶函数eqId10852d81bc184140a7780250c82c6929满足eqIdfbd4360a1fc04a6fbaf120a7b94b0a0d,当eqId27b1abecc2474a8f94b2a3b83e27e283时,eqIdcc694cc2a62e4f22a679d1fbe7f7fe17.给出下列四个结论:①eqId10852d81bc184140a7780250c82c6929的图象关于直线eqIdd5a6569623204652aada8c497a766e0a对称;②eqId10852d81bc184140a7780250c82c6929eqId5167ebf529b544b6939793f11fee2ac2上为减函数;③eqId10852d81bc184140a7780250c82c6929的值域为eqIdd5962c71196d40b28b2ca0d7b748b66d;④eqId27d50a351f2446a997ed8284268c656d有4个零点,其中正确结论的是(   )
A.①④B.②③C.①③④D.①②③
3 . 已知函数eqId144eff5c0e4649138a21f2b1b6a06907的反函数为eqId0ba30511535d4d2680ce727f5e1e40ec,又方程eqIdc44acfa877814bee96bbe4866a6b4bf6eqIdec7dae75b78c45f18baf61fb886b185a的实数解分别为eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159,则eqIdb393f9e276474371aeea16e15e644892的值为___________.
5 . 给定函数eqIdfa820174d9d04d6290ea3992507bc7ff.下列说法正确的有(   )
A.函数eqId6f13759e937144069819aed2ae5a1057在区间eqId2092826e20fe4062824923905c890500上单调递减,在区间eqId6492bb4622d2431aa769ea2cf52ed7de上单调递增
B.函数eqId6f13759e937144069819aed2ae5a1057的图象与x轴有两个交点
C.当eqId643b0fb7d27245b69300273b017c960b时,方程eqIdb46458272f754412b00edcddc5ac7b23有两个不同的的解
D.若方程eqIdb46458272f754412b00edcddc5ac7b23只有一个解,则eqId23987d8f97f64e0f8d932563d19bd459
6 . 设eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,定义非零向量eqId4126706d912b4533b4b7162b384abf44的“相伴函数”为eqId5cbcc06b2b6748c695d4aa404eddd8eceqId5a3fcf16951b4107948a763f4077fe28称为函数eqId5cbcc06b2b6748c695d4aa404eddd8ec的“相伴向量"
(1)设函数eqId3ccb0835b52f4344aecedc6e3c250737,求函数eqId28c4c21271884dfeac29ce0222782376的相伴向量eqId868498ff9fa642879b7d44341bb0282c
(2)记eqIda159be535b1c4c91bfd67824bedd3199的“相伴函数"为eqId10852d81bc184140a7780250c82c6929,若方程eqId0fa0d28bd5284c1e81db67f9b01d66cc在区间[0,2eqIdf1470514d3384b7d8224a7712ab506bd]上有且仅有四个不同的实数解,求实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围;
(3)已知点eqId38a73ac878314b8490313a1a5d5c6219满足eqId2673d9feb8c5425ba3444c8dea185e19,向量eqId868498ff9fa642879b7d44341bb0282c的“相伴函数”eqId10852d81bc184140a7780250c82c6929eqId02b4fd87b6dc469297673255c63eed1c处取得最大值,当点eqId2e472e2834814474a91b8ffcdc28fbcf运动时,求eqId5d0340ec8e6a4ae88e067690b9e1b04b的取值范围.
单选题 | 一般(0.65) | 2022·浙江高三专题练习
7 . 设函数eqIdf5b5baacf33f4bc99bc49452eca2434d,若互不相等的实数eqId735b8047beee4dee870fc72ae837a245eqIdecaaaffea9af458c8e6dff16f15c1a73eqId2b48ba4c6112492987d51b451a7088c8满足eqId56c248c0a0984a958e12b77335cd1c98,则eqIdce93eabac654497a9768129015f06061的取值范围是(   )
A.eqId4cf28321158d41d1bb79dc6b3e44c934B.eqId3cee4b180ab84f87bc2b1d14f2f20a37
C.eqIdb6ef80e404a74caa933c268e469cb4cfD.eqId9e3259eba44844e7bcc3a99bada008ef
知识点:
更新:2021/09/22组卷:213
单选题 | 一般(0.65) | 2022·全国
8 . 已知函数eqIdb0cfb7052e1342fe865cd407b0c908e3下列关于函数eqId4bbdf560ebc64ac994b899ee3655d221的零点个数判断正确的是(   )
A.当a>0时,至少有2个零点
B.当a>0时,至多有7个零点
C.当a<0时,至少有4个零点
D.当a<0时,至多有4个零点
更新:2021/09/20组卷:82
单选题 | 较易(0.85) | 2022·全国
9 . 已知函数f(x)=eqId3a408b36c1964d33b7a5bb2c6a82fe72,若互不相等的实数x1x2x3满足fx1)=fx2)=fx3),则eqId1c58a694288848198334a5430871a857的取值范围是(   )
A.(eqIda5f09f883f1b428380a65004b2cc3bc9B.(1,4)C.(eqId3385c7d74629435abd34488e4cc89b4c,4)D.(4,6)
更新:2021/09/20组卷:110
填空题 | 较难(0.4) | 2022·全国高三专题练习
10 . 已知a1a2a3b1b2b3是6个不同的实数,若关于x的方程|xa1|+|xa2|+|xa3|=|xb1|+|xb2|+|xb3|解集A是有限集,则集合A中,最多有__个元素.
更新:2021/09/19组卷:35