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2019-2020学年新人教版必修1第3章函数的概念与性质单元测试题

适用年级:高一试卷类型:单元测试试题总数:22浏览次数:124上传日期:2019/10/9
一、单选题
1 . 下列函数中,对任意eqId8e15963708e9415da25069fea5906e24,不满足eqId631c863d890a4b17b3245e9c894f6cce的是(   )
A.eqId25027b122b3d47febd9f63432fc1d3c5B.eqIdf1cc2695a5f541e4801243c5ad7a6d4e
C.eqId418b24eb23814a3b96d6835908c51590D.eqIdfbd7b1e643934e919b42e484e3502d4b
难度系数:0.85使用:112次题型:单选题更新:2019/10/9
2 . 已知定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数eqId4837c94ef0ff4dcf9b1dda4df363275a的图象与eqId8e15963708e9415da25069fea5906e24轴交点的横坐标分别为eqIdf7cbc1ad0a7b4f97b479c131b62ad882eqIdaecaf42a9cfb4a5c8c0cade53729c9baeqId2b48ba4c6112492987d51b451a7088c8eqId1f12fe77eb9a43e89aa3ea0e9331aadceqIdae4e1af9041345d09f1a8275cc62a4b8,且eqId48cc73b1afa84480b1a945fa585294c8,则不等式eqId642561dd0d534505871a055a6a7067af的解集为(   )
A.eqIdc551f5c805af43fd962a026aa6ae255eB.eqId3a38395f01e941a8ba443c73b054ff57C.eqIdcd23deec614f478589b5ff357029ae50D.eqId55d55b6bb174468fa5079f56459267a6
难度系数:0.65使用:233次题型:单选题更新:2019/10/9
难度系数:0.85使用:228次题型:单选题更新:2019/10/9
4 . 已知幂函数eqId81aceeb5a5a84198975f6edf9476f576eqIddca4c31f92e1447fb6eceb9fdf294175上单调递减,若eqIdd547e382d09e42cf97b90ecf977ef8a1eqId1254fe50b4344324b050d34c792a8895eqIda3fe9b6e14c9439a88e2f9a4a8eb8861,则下列不等关系正确的是(   )
A.eqId98df60d61acf40a38ea6e88af8316379B.eqId45615ef0900647268b98d1d5eeb28a58
C.eqId0d0cc8a6003c4e21bacd608a53c711cfD.eqId2cf6c501fcaf451c89bbbe8a7b5da7ad
难度系数:0.65使用:186次题型:单选题更新:2019/10/9
5 . 关于函数eqId076838511d334f408d89aacac5e6e713,有下列结论
①函数是偶函数;
②函数在eqId2fe40428a78d49588d13fa51f63ca7a3上递减;
③函数在eqId787fec3796eb4e9983c24c49d247da44上递增;
④函数在eqId3570edc7f9954aee956e5822500ade37上的最大值为eqId37705e1ef6a84bbdbe88433e75932cdf.
其中所有正确结论的编号是(   )
A.①②B.①②④C.②③D.①③④
难度系数:0.65使用:159次题型:单选题更新:2019/10/9
6 . 已知偶函数eqId4837c94ef0ff4dcf9b1dda4df363275a的图象如图所示(网格中小正方形边长为eqId37705e1ef6a84bbdbe88433e75932cdf),则eqId5b4b982e5b244615b318d945855b3556的图象可能是(   )
figure
A.figureB.figure
C.figureD.figure
难度系数:0.65使用:106次题型:单选题更新:2019/10/9
7 . 已知函数eqId4837c94ef0ff4dcf9b1dda4df363275a是定义在eqIddca4c31f92e1447fb6eceb9fdf294175上的增函数,若eqId5cc6a220435c40a899cd9e350e93045c,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(   )
A.eqId555aa4a617b8431da2a59a6e8e34c7beB.eqIdae8d04d2902b408496f71a0efdf0506f
C.eqId08a80b00113b4338960b20089c1aca6cD.eqId9c18121066b6434791918b468b995999
难度系数:0.65使用:274次题型:单选题更新:2019/10/9
8 . 已知幂函数的图象关于原点对称,且在上是减函数,若,则实数的取值范围是(   )
A.B.C.D.
难度系数:0.65使用:372次题型:单选题更新:2019/3/9
9 . 若函数eqId48ae19d6caf24ccb9df2ec815471234f的图象与函数eqId11304eeb79cd4125b5df1e362d1865b1的图象有三个交点,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(   )
A.eqIde7ba9b908d9040f2b8c41b0092c45aeaB.eqId4649d15e0a09417f9f7fbf9240973b51
C.eqIdae9b1ebc4e02452eb8cf2576b3071f53D.eqId04c150a3449246ec866f2049702cea0b
难度系数:0.4使用:154次题型:单选题更新:2019/10/9
10 . 已知eqId8e15963708e9415da25069fea5906e24eqIda96c35333bce498fac43d585fdcaf8c2满足eqId33da71f3ff6d4af787b3ac7b2b4b65e7,若对任意的eqId89a96288f3944e77a0347bc1781b69cdeqId8a9e21990036436eb660021945b5b78d恒成立,则实数eqId4d2187284c5d4de29906363f7d21f60f的最小值为(  )
A.eqId4e2a05e4ed5345bfa9b26d9fbd866b59B.eqIdfca343da1efc413487359c1551da9dbeC.eqId37705e1ef6a84bbdbe88433e75932cdfD.eqIdddd35c5d043e4ebeac32a99367053c68
难度系数:0.65使用:137次题型:单选题更新:2019/10/9
11 . 定义eqId524478f48f0145a889304d8bf6fd7341,已知eqId18e7279ca0e64b7ab0a764a735fcb078eqIdf0965c1733874683b5b8f74b3c2ff784,若eqId165da170d47747f9b0ec0caeacd8ed66,且eqId803e43d7199f4d60bb2341b2bed6c1b7eqId69c30f368e7542dbadb8946d4cf94c35,则eqId28c4c21271884dfeac29ce0222782376的最大值为(   )
A.eqId8898c1dc81824f3098bbeae74e8f11fdB.eqIdddd35c5d043e4ebeac32a99367053c68C.eqIddd4bf187d3fd47f6bcc24e568e09643eD.eqId401586f7a7f248b7904a4cfeaa2ed2f0
难度系数:0.4使用:76次题型:单选题更新:2019/10/9
12 . 设定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的函数eqId4837c94ef0ff4dcf9b1dda4df363275a满足eqId1e6a9703e58c45f7946b40d08e12a2df,且对任意的eqId8e15963708e9415da25069fea5906e24eqIda96c35333bce498fac43d585fdcaf8c2,都有eqId7995e19e318a48a894b5c59656044b9e,则eqIda7392ec790c849c387653accce71f660的定义域为(   )
A.eqIdb622e23d63ff471ba5ccb8ddd18a47f3B.eqIda5ac802ac5064c38bc7ed727929e4152C.eqIdd4aff0cf52d14de89881f0ddf5547b84D.eqId6152e5db0df646ff94f7e2609661b73c
难度系数:0.4使用:213次题型:单选题更新:2019/10/9
二、填空题
13 . 已知定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的函数eqId4837c94ef0ff4dcf9b1dda4df363275a满足:eqIdd2aea309afc9444d9fd199e377743786是奇函数,eqId125214f2f1d341c7ba55bfee2097ea87是偶函数,则eqId3e64876844ab4e8cb91ce98ab8202196等于_______.
难度系数:0.65使用:231次题型:填空题更新:2019/10/9
难度系数:0.65使用:292次题型:填空题更新:2019/10/9
15 . 记eqId2e87d30c3b564d74be0f7117556bca9d表示eqId8e15963708e9415da25069fea5906e24eqId072d7d6b911b42bc89207e72515ebf5feqId2cd9e2fe3d6540df9399dbefe49ada54中的最小者,设函数eqId9b12539babd44f4a85f1b52bef0dcccf,则eqId262ae92a196c43659ae807ba24951462等于______.
难度系数:0.65使用:210次题型:填空题更新:2019/10/9
16 . 已知函数eqId4837c94ef0ff4dcf9b1dda4df363275a是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,当eqIdd1ed1dcc68014a1480eab590e48decdeeqId943a627e918f40b7bb0ec4fc2e6db8df,对任意的eqId3aa2d03d617c419d9001995ad7ca5692,恒有eqIdeaabd815a1424372aca57d5a6b0fc01c,则实数eqId70a27b6ddf6b478285353abb3b1f3741的最大值为_____.
难度系数:0.4使用:282次题型:填空题更新:2019/10/9
三、解答题
17 . 设函数eqIdd41e92a55a40458f957b4a509376ba86eqIde9edd995034840cfb557ea415074294a
(1)若函数eqId4837c94ef0ff4dcf9b1dda4df363275a在区间eqId7866cdd713694d23943f903588364452的最大值为eqId7b7ac30ea4394fb58275227e306758af,求函数eqId4837c94ef0ff4dcf9b1dda4df363275a的解析式;
(2)在(1)的结论下,若关于eqId8e15963708e9415da25069fea5906e24的不等式eqId0c34a9b93f5c4d39aa57202757bc621d在区间eqId93d47b83a70d4a00840bc5ed01425487上恒成立,求实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围.
难度系数:0.65使用:367次题型:解答题更新:2019/10/9
18 . 在充分竞争的市场环境中,产品的定价至关重要,它将影响产品的销量,进而影响生产成本、品牌形象等eqIda2977c3b533f4a4fb6c53d1351e005c3某公司根据多年的市场经验,总结得到了其生产的产品A在一个销售季度的销量eqIda1e4334da6da41ffaa3e6b0bdff24292单位:万件eqId1dff27163d4a47f3a3201b3b8d5ae407与售价eqIdcdf500dee51f44fb9ff1b0a7b32fb223单位:元eqId1dff27163d4a47f3a3201b3b8d5ae407之间满足函数关系eqId0ae052feaee44445930ea91f84df62ffA的单件成本eqId80505b3f88b948e0861f13ed64b4d4f2单位:元eqId1dff27163d4a47f3a3201b3b8d5ae407与销量y之间满足函数关系eqIdf8e5d1f293854590b1c320b2d6636f61
eqId7b0c876472714a72ae295f233fb0622a当产品A的售价在什么范围内时,能使得其销量不低于5万件?
eqId6a74229c63d7479c8ff55ba05baf9afe当产品A的售价为多少时,总利润最大?eqId28fe7ea2cdd940a3890be5a8f24864c9注:总利润eqId1f2c92dfd3d8438ca50bd7b1c0ed8a80销量eqId9f80f1f330054cc98d3c7faffeff506a售价eqId925bc3f5020f4aeab746161d365c53da单件成本eqId0db8433636bc425ba1d40cb11de49ffa
难度系数:0.4使用:212次题型:解答题更新:2019/2/22
19 . 已知函数eqId4837c94ef0ff4dcf9b1dda4df363275a定义在eqIdd4875002eab644559d85b2e36e903b70上的奇函数,且eqIddaddb37a15994fa1b1b7e26194bd88f0,对任意eqId70a27b6ddf6b478285353abb3b1f3741eqId63dcafcfc8a34eda96fbc7c65c5392d6eqId6e153a712e5e4791ab0edb8e293b0ba7时,有eqId2e30346914bc43ccb822c33ae39164b0成立.
(1)解不等式eqIdfb3bb6640ca1425e9577a4911ed03d3d
(2)若eqId0ec76d6982c84b69ad9c05cfbc49134d对任意eqId21d3927ac4014579b620381c50062706恒成立,求实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围.
难度系数:0.65使用:359次题型:解答题更新:2019/10/9
20 . 已知函数eqId6c73dafde1b848a4ba031423524b6c98
(1)若对于任意eqId27b1abecc2474a8f94b2a3b83e27e283,恒有eqId69431f5cb5db4d868c2d40058c3a43b6,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围;
(2)若eqIdba78a23edc8a4f839fb75506dcef287b,求函数eqId4837c94ef0ff4dcf9b1dda4df363275a在区间eqId7866cdd713694d23943f903588364452上的最大值eqId04bb37ba8e9844cc8aa40a999bac809d
难度系数:0.4使用:270次题型:解答题更新:2019/10/9
21 . 设函数eqId9b37d03e47a347fc8fab9f814ba5fac4定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上,当eqId2d569479cd1c43c1af15895792b64db6时,eqId3f98b30cbd504de3818521f0f1660230,且对任意eqId3a4208e0040c42ed8b09de2cae9d562eeqIdf458db68122849abb588feb2e682d9ac,有eqId6a9356b0872d4d26a9a2adad9def5f8b,当eqId44cfe7181d57473499acde47b6b75599eqId1de6226c811f403ab1623f62acf1c940
(1)证明:eqId90188aca786d4da3923fb2cc420f9249
(2)求eqId1178211e197e42ac83119f21246240ad的值并判断eqId4837c94ef0ff4dcf9b1dda4df363275a的单调性.
难度系数:0.65使用:182次题型:解答题更新:2019/10/9
22 . 已知函数eqId93143b1ddd354445a6077eb93b54b184. eqId70a27b6ddf6b478285353abb3b1f3741为实数,且eqId33fe044ab07a45c8bf3c8ca971500175,记由所有eqId0926f6c8f74748d784074f0759f0f374组成的数集为eqId93cbffaa5ae045d6ac45d1e979991c3a.
(1)已知eqId547167e071f3415b9c344b47fad59fad,求eqIdaecaf42a9cfb4a5c8c0cade53729c9ba
(2)对任意的eqIdcffa266468484efc90a0adbab77ec7ceeqIde2d9798515d74fada5d6536f2c44af3a恒成立,求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围;
(3)若eqIde130ee18c3584dd5ace39167d6ea2d1beqId84baf5260a714df9a42e9e3daf01ca4a,判断数集eqId93cbffaa5ae045d6ac45d1e979991c3a中是否存在最大的项?若存在,求出最大项;若不存在,请说明理由.
难度系数:0.4使用:162次题型:解答题更新:2019/2/15
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