解题方法
1 . 定义
为不超过
的最大整数,如
,
,
,
.已知函数
满足:对任意
.
.当
时,
,则函数
在
上的零点个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf0a57f7f19bd5919e98bf0414fe850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906d56fc8fcf6f56671376f442f429ce.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3420606c96b68fb884c839923fd20a25.png)
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A.6 | B.8 | C.9 | D.10 |
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7日内更新
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2卷引用:云南省部分校2023-2024学年高一下学期月考联考数学试题
2024高三·全国·专题练习
解题方法
2 . 设函数
的定义域为
,满足
,且当
时,
,若对任意
,都有
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/704eed612a90f7369fdec07a5ecdb686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123bf3451e1cd6900508c4e3560a81f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ad8f7a67af3d197d74c6b47a1d67ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b1200324e9029b312195a5981bf90d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc83237d8c18e4745d112ffaf70fbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知函数
若
互不相等,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83fa606cfa248c3f4afe93f036d1a045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67afd34495f2c2c3fe2deec14e1b4b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bb99e2251df1777c5288d603170bd2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-11-23更新
|
1273次组卷
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2卷引用:江苏省扬州市宝应区曹甸高级中学2023-2024学年高三上学期9月月考数学试卷
名校
解题方法
4 . 定义域为
的函数
满足:当
时,
,且对任意的实数x,均有
,记
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31d07e0e178dd81de9ab409d9475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afe3feedfbff1dae12d868db4395ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186c0bbc8767d465381e390fb5b1dfab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef2a45773db8d347f0cfa4e4fca7fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d48c3fce28a173a64febb17628959e1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-08-26更新
|
824次组卷
|
2卷引用:贵州省天柱民族中学2024届高三上学期第一次月考数学试题
名校
解题方法
5 . 函数
的定义域为
,满足
,且当
时,
.若对任意
,都有
,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2b880a6e4a2c31658e2b2d49875bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c7bba069a33fd4d8d2ac6449148da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58640a13608e28bdba923ce9b0fc2f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d878e6ccd947902529a5701e0d59c04e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-04-24更新
|
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5卷引用:山东省青岛市即墨区2022-2023学年高三下学期教学质量检测数学试题
山东省青岛市即墨区2022-2023学年高三下学期教学质量检测数学试题(已下线)数学(全国乙卷文科)四川省绵阳南山中学2023届高三下学期高考热身考试数学(文)试题(已下线)第二章 函数的概念与性质 第九节 函数的图象(讲)(已下线)第九节 函数的图象(讲)
6 . 已知函数
,若存在唯一的整数x,使得
成立,则所有满足条件的整数a的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5758f210c75a631374f7c887239040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92873a35f354a9ccc343e07d80aab935.png)
A.4 | B.3 | C.2 | D.1 |
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名校
解题方法
7 . 已知函数
,则方程
的实数根个数不可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbdc5d5a3912ac2f38c2fd747f06c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2033535032d1d7e5117a9d64c513c66b.png)
A.5个 | B.6个 | C.7个 | D.8个 |
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名校
解题方法
8 . 定义在
上的函数
满足
,且当
时,
.若对
,都有
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b448435e866ae492e74e097e9f3cd0fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04614d0fac9cde995374a43d4323b723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b98bbb09ab8ea8a76e4277e6ba0efda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082b8c767cfbb89d494e945aa71bfd34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a42090c80de464db5980dfb74491161e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-08-26更新
|
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9卷引用:湖北省新高考协作体2022-2023学年高三上学期起点考试数学试题
湖北省新高考协作体2022-2023学年高三上学期起点考试数学试题陕西省咸阳市武功县普集高级中学2022-2023学年高三宏志班上学期第一次月考理科数学试题广东省深圳市福田区红岭中学2022-2023学年高一上学期期中数学试题山东省青岛市青岛第二中学2022-2023学年高三上学期期末数学试题(已下线)山东省青岛第二中学2022-2023学年高三上学期1月期末测试数学试题变式题6-10(已下线)考点12 函数的图象 2024届高考数学考点总动员【练】陕西省西安市西安高新第一中学2023-2024学年高一上学期期中数学试题江西省上饶市蓝天教育集团2023-2024学年高一上学期期末考试数学试题(已下线)第23讲 函数的对称性和周期性专题训练-【同步题型讲义】(人教A版2019必修第一册)
名校
解题方法
9 . 黎曼函数是一个特殊的函数,由德国著名的数学家波恩哈德·黎曼发现提出,在高等数学中有着广泛的应用,其定义为:
,若函数
是定义在R上的偶函数,且对任意x都有
,当
时,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7216c2a8865eef5fcf4a836c16ae24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de6ac31b37c3a7befa135a93c099cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3193ac70ba9eb54be0ca739290db311a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b96d1385e45aaf6049af79d49abcf50.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 设函数
的定义域为R,
为偶函数,
为奇函数,当
时,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce15aa17ef3c679faeaaddbeb36823c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ca7d4a0dd6c10363a5e198baf316ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9739e999e93b84df21481b225e571434.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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