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四川省阆中中学2021届高三上学期开学考试数学(文)试题
四川 高三 开学考试 2020-10-17 42次

一、单选题添加题型下试题

单选题 | 较易(0.85) | 2020·四川阆中中学开学考试(文)
1. 下列四组函数中,表示同一函数的是(   )
A.eqIdc10c49516c0b42029fb5391ca74754c4eqIda7499fb38fb7475099dacc980814e5a5B.eqId8bec824203fa431f8f4bb741ccdfe7c5eqId3a98e70d9f9948b3abe24d0c79255bd7
C.eqId6d4070751ba04b81bcb7b2025de999e3eqId0d53f8a482854e2bba881bf7412e5a3aD.eqIdaf8b99c894074cfc9943e10ada4dd0a4eqId160c0cc092fa479190b1a3363c86a019
4. 下列4个说法中正确的有(   )
①命题“若eqId56516e4f60d7499d9efe6dd90d15c7ca,则eqId5db4a4f976ba42089c0439595abeb40b”的逆否命题为“若eqIde7320682fc974323b9e36812c8d054d9eqIddae4ca6c5077451e8256675a5ac358b0”;
②若eqId2ba1abc5451743519f29c44c65e7e615,则eqIdc6a18e2611a143efa66893376cc67ecc
③若复合命题:“eqIdc89abe1e4d584e16b3718409cb609213”为假命题,则pq均为假命题;
④“eqId6c7b6f231ad749f89bbe27c675b1061a”是“eqIde4ef62beca2b44e5b06a939644fe77ed”的充分不必要条件.
A.①②③B.②③④C.①②④D.①③④
6. 函数eqId11840126093e46db8201c9aa8b8222e7一定存在零点的区间是(   )
A.eqIda8cefae4538f4c9b904b4491ca9f377dB.eqIdb82139e4836848f79663af8e7848c8a1C.eqId5b474c79f9454f5b96598f7e0ef1a01aD.eqIdbf051b9dc24e4dd3b863c647130a246e
7. 函数eqId74e03a3bf16340aca2a5bb28cdaf6015的图像可能是下列哪一个?(   )
A.说明: figureB.说明: figure
C.说明: figureD.说明: figure
8. 函数eqIdc5481a08557e4375bf464d4def6f83f2eqIda89f9b05125f42deb285e7ab995bc06e上的最大值为2,则a的值为(   )
A.eqId5f6383ba988b438abc81950a6cb68e72B.2C.5D.eqId74ca1f553da249bf870a3f5204f2dc08
单选题 | 一般(0.65) | 2020·四川阆中中学开学考试(文)
10. 已知函数eqIdd03b060d9e1946ee800e4eea30d7e50beqId3609d45811264401a56eb50b342cd849eqId61f19c78077048beb57f12f787a3abafeqId96a7a5b26dc644de98853217879424ea,则eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1的大小关系为(   )
A.eqId2b09921788f943369b8b2d69257fdda4B.eqId96f25c3294b2457ca92c563e42cd8713C.eqId0b6548a2f82b4900bf8b5c24afd5ed7aD.eqId18513915a070416db1e6b2d279419695
11. 已知函数eqId5b100f3b095243a0b3167af5f7ecdc0e,若eqId4aa0d63a9f08447faaf9c8c9d247ac75恰好有3个零点,则eqId70a27b6ddf6b478285353abb3b1f3741的取值范围为(   )
A.eqId86e08bc1d3a24fa4b070a424c0670fffB.eqId787fec3796eb4e9983c24c49d247da44C.eqId68f55ffbced44935b09cb94a685687f2D.eqId46074e036c07436fb72e4593af0372b8
12. 函数eqId4837c94ef0ff4dcf9b1dda4df363275a满足eqIdf4165c4a38444f7d9093b4ea4c1f50fd,当eqIdcdc4745fca15497b8063118941a46acc时都有eqId239506325b9945d782c2230d05c10373,且对任意的eqIdb6df6cfc32614394a263bfc8111a1290,不等式eqId4eb442b036864e8091a0db324010df42恒成立.则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(   )
A.eqId3a89c90d0f104074abbd2eee4b4de82bB.eqIdb63973b6e660460a81773859e79357c7C.eqIda301c9e11d5f409ead5c1b96128d175fD.eqIda8e841dc5ef24851b7df5ca0cc3d85e2

二、填空题添加题型下试题

三、解答题添加题型下试题

20. 定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的函数eqId4837c94ef0ff4dcf9b1dda4df363275a对任意eqId70a27b6ddf6b478285353abb3b1f3741eqId7c74e12bac9f4576a738a38bd0cbe415都有eqIdb0eccbdae43d41b88e464337dd7337feeqId4d2187284c5d4de29906363f7d21f60f为常数).
(1)当eqId3c1153ab7540459aaeb4481e00de8213时,证明eqId4837c94ef0ff4dcf9b1dda4df363275a为奇函数;
(2)设eqId2e1cd088f58d4f0789ea6863416a4e78,且eqId4837c94ef0ff4dcf9b1dda4df363275aeqId7dcd2312d0bf4bb1befdfcc170e45791上的增函数,已知eqIdde468950a9eb47df9e513ebaf8d98b7c,若不等式eqId2a84767d5dee434aa7865a1a8cb4c856对任意eqId6fc94f6e181444c6b809fb393eb8fae6恒成立,求实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围.