解题方法
1 . 函数
,若
,则
,
,
的大小关系是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441c9445d7d11925e457209c0273024a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ac161789cda0e6ab9447b4b4815777.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b530377e3fe56b7988935dd73d9dccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e1a1611f320c0f358df77aaae3f942.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-02-24更新
|
183次组卷
|
2卷引用:福建省部分优质高中2023-2024学年高一下学期入学质量抽测数学试卷
解题方法
2 . 某物品上的特殊污渍需用一种特定的洗涤溶液直接漂洗,
表示用
个单位量的洗涤溶液漂洗一次以后,残留污渍量与原污渍量之比. 已知用1个单位量的洗涤溶液漂洗一次,可洗掉该物品原污渍量
.
(1)写出
的值,并对
的值给出一个合理的解释;
(2)已知
,
①求
;
②“用
个单位量的洗涤溶液漂洗一次”与“用
个单位量的洗涤溶液漂洗两次”,哪种方案去污效果更好?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9b4297c57a4526f85fce9e67ce5d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd86c9d5d025c783d7701296710860f.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed0b65d9e19c2dd79eb60dabf76ee31.png)
②“用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93a232c88870d213a7b74a796a1ff4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c46af2ff5b39b2e20c17f15cbdf5ffe.png)
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3 . 已知定义在
上的函数
满足
,当
时,
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275815073d040d04fe4820f9841b78d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128fb74c940f5b5ffa1f6f89ca09052a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3cc66b811ad2395efe04d93b61c711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0097b2a40fd339906bb03607246d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842d1ef559508769097d7f02caf86797.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-18更新
|
403次组卷
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3卷引用:福建省泉州市2024届高三上学期质量监测数学试题(二)
福建省泉州市2024届高三上学期质量监测数学试题(二)(已下线)【第三练】5.4.1正弦函数、余弦函数的图象+5.4.2正弦函数、余弦函数的性质江西省宜春市丰城中学2023-2024学年高一下学期开学考试数学试题
名校
解题方法
4 . 定义在
上的函数
满足如下条件:①
,②当
时,
;则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86ec87e9730dbedf48cabae579c249f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
A.![]() | B.![]() |
C.![]() ![]() | D.不等式![]() ![]() |
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2023-08-27更新
|
1136次组卷
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2卷引用:福建省福州第三中学2023-2024学年高一上学期期中考试数学试题
名校
5 . 如图,
在平面直角坐标系
内,点A,B的坐标分别为
和
,记
位于直线
左侧的图形面积为
.
(1)求
的值;
(2)求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c832f2474efe89961ef41e884da7660c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623afc24f2227004b0e1b3922dfb954b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbd58a9596f66af9c26b1c8a0e9f105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/25/de4b316d-6756-46c9-b439-eeae554c47f9.png?resizew=150)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fef5f357f94e1e162cc47a99f9ab1e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
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名校
解题方法
6 . 已知定义在区间
上的函数
对于任意的
,
满足
,且当
时,
.
(1)求
的值;
(2)判断
的单调性并用单调性定义加以证明;
(3)若
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca1a2e3aa3607c922862759adba973d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ed85d47b4f488a9b5e211938cc5424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b6e4bbd8bc074d4fd1d73b6be8a98c.png)
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7 . 已知函数
,且
.
(1)求m的值;
(2)证明函数
为奇函数;
(3)判断
在
上的单调性,并给予证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf094c155c30252463fd17831fcc6072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1947266214c98cfdeea15425a47de17.png)
(1)求m的值;
(2)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
您最近一年使用:0次
解题方法
8 . 已知函数
满足
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ef18ab04c2499e6d8ab6835ba1aed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/324286813887f7274192afcc3ab5a896.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-29更新
|
336次组卷
|
5卷引用:福建省泉州市安溪县2023-2024学年高一上学期11月期中考试数学试题
9 . 德国数学家康托尔是集合论的创立者,为现代数学的发展作出了重要贡献.某数学小组类比拓扑学中的康托尔三等分集,定义了区间
上的函数
,且满足:①任意
,
;②
;③
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b39bbfd4894f4d2ca18473a3e42f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ee7abd882ba99660bca68ebf544cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7f3dbe1155bef98639f30a7d24f304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfca9e2cea383880fb2dfe0e71b9e2b.png)
A.![]() ![]() | B.![]() ![]() |
C.当![]() ![]() | D.当![]() ![]() |
您最近一年使用:0次
2023-11-29更新
|
215次组卷
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2卷引用:福建省部分优质高中2023-2024学年高一下学期入学质量抽测数学试卷
解题方法
10 . 已知函数
在其定义域内为偶函数,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be861ec9688c431d5061eedb96dac896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e817f37f5a814e856ebc4a16d676ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f37159a8d508b532e4c124a2ea1a66df.png)
A.2023 | B.![]() | C.2021 | D.![]() |
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