名校
1 . 设f(x)=|lnx|,若函数g(x)=f(x)-ax在区间(0,4)上有三个零点,则实数a的取值范围是( )
A.(0,![]() | B.(![]() | C.(![]() ![]() | D.(0,![]() |
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2020-09-12更新
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8卷引用:黑龙江省哈尔滨市第一中学校2020届高三上学期开学考试数学试题(理科)
黑龙江省哈尔滨市第一中学校2020届高三上学期开学考试数学试题(理科)2016届江西省南昌市二中高三上第四次考试文科数学试卷宁夏银川市宁夏大学附属中学2019-2020学年高三上学期第五次月考数学(理)试题(已下线)专题3.3 函数与导数的综合应用(精练)-2021届高考数学(理)一轮复习讲练测江西省宜春市上高二中2018-2019学年高二下学期第二次月考数学(文)试题四川省泸州市泸县第五中学2019-2020学年高二下学期第二次月考数学(理)试题四川省泸州市泸县第五中学2019-2020学年高二下学期第二次月考数学(文)试题甘肃省嘉谷关市第一中学2020-2021学年高三上学期一模考试数学(理)试题
2 . 已知
,方程
有三个根,则a的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728f2cc68f8ca8ef2faa681785798259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922d61d27861eac8ea05d920ca497046.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知定义在
上的奇函数
满足
,当
时,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735d408c1b9eac7cb28744ac0924f0b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa130b80a64f150b2ab78d40cf128c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246b8b7593f88a4357367fd13b006b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82fa8616a4d01f582121f535fb4d7b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb72b4c134ef1672b330453ca780270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735d408c1b9eac7cb28744ac0924f0b3.png)
A.![]() | B.![]() | C.4 | D.12 |
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2019-09-24更新
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6卷引用:广西北流市实验中学2020届高三下学期开学考试数学(文)试题
名校
4 . 如果函数
的定义域为
,且存在实常数
,使得对于定义域内任意
,都有
成立,则称此函数
具有“性质
”.
(1)判断函数
是否具有“
性质”,若具有“
性质”,求出所有
的值的集合,若不具有“
性质”,请说明理由;
(2)已知函数
具有“
性质”,且当
时,
,求函数
在区间
上的值域;
(3)已知函数
既具有“
性质”,又具有“
性质”,且当
时,
,若函数
的图像与直线
有2017个公共点,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80a01118f21516915cb177acc3d1220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f58bad098fdd79b12c9c66daa46c07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e691589e9aafddefcbb613c7030f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f572a9d4d946843a178e90fa5e5800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e691589e9aafddefcbb613c7030f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bea0dd7e474bcd04db2544427ba0488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6343069217cd6d8dd32446da428dae46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09dcff07bb0d9e583a534c663ba2477f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e1793dd78ce35197f7a7f65d142a5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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2019-09-18更新
|
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4卷引用:上海市高桥中学2020届上学期高三开学考数学试题
上海市高桥中学2020届上学期高三开学考数学试题江苏省南通市海安市海安高级中学2019-2020学年高一上学期10月月考数学试题江苏省南通市海安高级中学2019-2020学年高一上学期10月月考(创新班)数学试题(已下线)专题08 函数的奇偶性、对称性及周期性压轴题-【常考压轴题】
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5 . 已知函数
,则下列命题中正确命题的个数是( )
①函数
在
上为周期函数
②函数
在区间
,
上单调递增
③函数
在
(
)取到最大值
,且无最小值
④若方程
(
)有且仅有两个不同的实根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4dfeb561d6a6ab8b4fa7cd4e5a7cb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b586de321571a081e111b44dd5c0d6.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c3204dcb6b697db534514558111f25.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88ea43f1e36cc084b861b7f5ea0c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3509881175c146c6a779aff134e0a701.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1d5798905e0b0a5de2279e0bde5382.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f364bd19eda02fa19a278441b2aa401b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
④若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82d200e0b1505811856738bd622d2d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4dfeb561d6a6ab8b4fa7cd4e5a7cb4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 在直角坐标平面
中,已知两定点
与
位于动直线
的同侧,设集合
点
与点
到直线
的距离之差等于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
,
,记
,
,则由
中的所有点所组成的图形的面积是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4e568d9cd57c442f011a787ab8aaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914c2124260496e9307d6448c0c943f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29fa0e0526598c4140789f6328daac9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0965375026aea060c264d6f9f29146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c890ab27b1e96cbd98a7a0235404fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7837cdf68108e1322ca24d66d1a9d252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715971a886eca913becd3d3dc6185569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
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7 . 设函数的定义域是
,且满足:(1)对于任意的
,
;(2)对于任意的
,恒有
.则下列结论:①对于任意的
,
;②
在
上单调递减;③
的图象关于直线
对称,其中正确结论的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01b424cd6859d55f2e1ba4c80d2c8bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f6c9dce7cbe3b296281bebc591f1d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92aad9e514a9a2b3b19b92de8cfdeb34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/616909978781b138155c998c0377ab17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
A.0 | B.1 | C.2 | D.3 |
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2019-12-07更新
|
748次组卷
|
3卷引用:上海市曹杨二中2017-2018学年高三下学期开学考数学试题
18-19高一上·上海浦东新·期中
名校
8 . 已知集合
,
,集合
,且集合
满足
,
.
(1)求实数
的值;
(2)对集合
,其中
,定义由
中的元素构成两个相应的集合:
,
,其中
是有序数对,集合
和
中的元素个数分别为
和
,若对任意的
,总有
,则称集合
具有性质
.
①请检验集合
与
是否具有性质
,并对其中具有性质
的集合,写出相应的集合
和
;
②试判断
和
的大小关系,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b6e6193c97593e74d8488e35119d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6228afd8854fbc3c1b05fcb0bfc5ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f15cabdc3d05988fd14408ee71a57f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725e7e04c2a89481457c20d6438dab0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f75ed8f6ace26756031eb3d813db6c0.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)对集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692caeb314d16479c83b584c14b556bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6ea62c5decc77abe0039fb6e4fd40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2fef18cae151fadca86595209c317c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2212c2e3f325683a2f9599a1c661ff59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc020b0997a2f37b214718112b79d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2cacc52ffe015e828a4a5f2fe5ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①请检验集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709a1f33195ab62f2da488b27a219c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c67b05f5f43a2d4371a42e65dea900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
②试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
9 . 已知函数
.
(1)当
时,求该函数的值域;
(2)若
对于
恒成立,求
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c00c00d74a43e5cd6bc24484543281.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095c5f7a3c6917839c01fd1e5654ee91.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44cb48cabb2ca42afe6e3e3d09db6385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab055102aa93be3bc359d54ab87d694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-11-30更新
|
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7卷引用:2020届内蒙古包钢一中高三上学期10月月考数学(理)试卷
名校
10 . 定义在区间
上的函数
满足:①
;②当
时,
,则集合
中的最小元素是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffe896777dc4f9aebb0e6b11ed3ed37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211ebd58d457c6e7855cef475a91f203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f64738f46b336cbb68ac2b6cb0fae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de83840e3959c9b873801e447cae85f.png)
A.13 | B.21 | C.45 | D.51 |
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