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1 . 已知二次函数eqId9b37d03e47a347fc8fab9f814ba5fac4满足条件eqId2bd54317f4504422b48f7a0869536c02eqId51b24cbb7361427fb6fb93fb28762b4f.
(1)求函数eqId10852d81bc184140a7780250c82c6929的解析式;
(2)如果函数eqId9b37d03e47a347fc8fab9f814ba5fac4的图像与x轴的两个不同交点在区间eqIdbe424e9b131746b2987ce0b5fee232c4内,求实数m的取值范围;
(3)当函数eqId9b37d03e47a347fc8fab9f814ba5fac4的图像与x轴有两个交点时,这两个交点能否在点eqId96807baa574740eeaed1c5d2c2a4c1b9的两旁;
(4)若eqId2bc2f1ad1f654ec28beae68f9c390d1e是函数eqId9b37d03e47a347fc8fab9f814ba5fac4的一个单调区间,求实数m的取值范围.
3 . 二次函数eqId3dff8db27f634feca8f6b27a8245d377在区间eqId2634038e67f543e0a725ee3f8941f5ea上单调递增的一个充分不必要条件为(   )
A.eqId84baf5260a714df9a42e9e3daf01ca4aB.eqIdcbf309801e3048b4871ef41e892eb722C.eqIdf7dc57564b2c4a1091cbda65f7242f5eD.eqIdaf0c28fa6a1e435ba5462b37418b2f99
4 . 已知二次函数eqId703e905bd3b04e16a2243584bc905554的值域为eqId47bb553718a644a9aba68733ad08312a
(1)若此函数在eqIdd3ddda2a86b545538651e35248afbf53上是单调减函数,求实数a的取值范围;
(2)求eqId10852d81bc184140a7780250c82c6929eqIdde46290baec04ea1a59331d8d94f28df上的最小值eqId04bb37ba8e9844cc8aa40a999bac809d,并求eqId04bb37ba8e9844cc8aa40a999bac809d的值域.
5 . 设函数eqId3a4c67a281194d76bac8ff221539d6c9,数列{an}满足eqId689bbbb4f2fe4974910c150deeea4634eqId532dc4d959024b79b546428f5856e5aa,且数列{an}是递增数列,则实数a的取值范围是(   )
A.eqId932c3935d13f43cf85d76cad0c1f7ffcB.eqId94a38bf0464d4f8ba32caaff1b68993bC.(1,4)D.(3,4)
6 . 已知函数eqId3732455f17dc4f1291e224b951741737在区间eqIda75f32d729e345fca573383b8c130842上的最小值为eqId6c134c414a5e4643849c88caa4d6a5f0,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值集合为__________.
7 . 已知函数eqIddca6bad54ac74916a5567f8847597601eqIda4be99d332154d13a4a6ed1ff6444fe7为常数)
(1)若函数eqId144eff5c0e4649138a21f2b1b6a06907图象上动点P到定点Q(0,2)的距离的最小值为eqId3385c7d74629435abd34488e4cc89b4c,求实数eqIda4be99d332154d13a4a6ed1ff6444fe7的值;
(2)设eqId16d341aeb9954b6da88ebdf00b951972,若不等式eqId548578ce43dd4a0ab2a7b5b70f9f1ee4eqIdb6df6cfc32614394a263bfc8111a1290有解,求eqId4d2187284c5d4de29906363f7d21f60f的取值范围;
(3)定义:区间eqId0005bc5d2f554698afeb8f199bc0cd81eqId5bddd85585e34be18dfbae00574217d8)的长度为eqIdd3e739f7f69d4432a1cf3eb7fe0548e9,若eqId51b8de66b30c4539b899dc2a7b0c5aa4,问是否存在区间eqId0005bc5d2f554698afeb8f199bc0cd81,使得eqId6f13759e937144069819aed2ae5a1057的值域为[6,7],若存在,求出此区间长度的最大值与最小值的差.
8 . 函数eqId6675650879704d2b86c0d47153b401b7eqId44866d20a1d449ab9db7e7ea3026fadd区间的最大值是5,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是_______
9 . 函数eqId216ec879e5c14aba8e7cd7032b32f068在区间eqId760abf6c07b748bfbb42ddf87ba71391上的最大值为eqId8f65c930571d4ff6aa6a50029d46826e,最小值为eqId29c898c2f6d5480e84ed6cd0dfc0930b,则实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围是(   )
A.eqIdf173839cbdf549429066610d1a327f06B.eqIdc5380acaa2864ba5a831e0e9184dfee9C.eqIda75f32d729e345fca573383b8c130842D.eqId9f11aab08e94466fb96a9a521615a945
填空题 | 较易(0.85) | 2022·全国高三专题练习
10 . 已知函数f(x)=eqId82b1179467ec4907ba67d7432fad4134(m≠1)在区间(0,1]上是减函数,则实数m的取值范围是________
更新:2021/09/20组卷:82