名校
解题方法
1 . 已知函数
(
且
)的图象恒过定点A,且点A在函数
的图象上.
(1)求函数
的解析式;
(2)若存在互不相等的实数m,n使
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37609ead42682407b666a26dc8ba562f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106f1f851caba1896f4f91b41e07e4c9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若存在互不相等的实数m,n使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2365534ee179d15e26c2c00873d89514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6683513c3f444fe1a49b6b24c0f2f93.png)
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2024-03-01更新
|
189次组卷
|
2卷引用:山东省潍坊市2023-2024学年高一上学期1月期末考试数学试题
2 . 已知函数
,且点
在函数
的图象上.
(1)求函数
的解析式;
(2)若方程
有两个不相等的实数根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad40dd76770d43d70a1772b1b069e998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c01011175629cf3c4108b78cc663a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
3 . 已知函数
.
(1)若函数
的图象过点
,求实数
的值;
(2)当
时,求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a381f67a6329befe9a4085ff2df479a.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d5a0e25aebe1cc182d2247ed344652.png)
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4 . 已知函数
(
且
)的图象经过点
和
.
(1)求
的解析式;
(2)若
,求实数x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee35a736892cf53414495c088c131ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea466aabc7e6886d3124da78528d5d4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf21b072576ae45a695d0b52342e5567.png)
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2023高一上·上海·专题练习
5 . 下列函数中,哪些是对数函数?
(1)
;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980a4e54f218bbeecb6aa0caf97dbb5c.png)
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969f2f61631def143fb4ab8918ce08fc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980a4e54f218bbeecb6aa0caf97dbb5c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48a8e6b7a717962cc1064a8f239229ab.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193395e28ccacb43c9d69e8da62dd17a.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8458f29d7376c0c6c5437fc5615c8d.png)
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名校
6 . 已知函数
的图象与
,且
的图象关于
对称,且
的图象过点
.
(1)求函数
的解析式;
(2)若
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4ca640296443f5119c6ae8f9ddba90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e8ce93c53d0179da2fcd0376dcb2ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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7 . 已知函数
且
)的图象经过点
和
.
(1)求
的解析式;
(2)
,求实数x的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b09b1af1a13c496a97e48d1573fe6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4cb551f5e092ab3f8ca2c0d75b3e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0924ff22fff9f5639feb0ceeece80d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f22fc1058bae723d67524783bb59d3d.png)
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8 . 如图,对数函数
的图象与一次函数
的图象有
两个公共点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/1057a7f5-66b7-4df6-b7ff-9c917faa7094.png?resizew=182)
(1)求
的解析式;
(2)若关于
的不等式
的解集中恰有1个整数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3411686439eb5ea915052cfb64cc2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/1057a7f5-66b7-4df6-b7ff-9c917faa7094.png?resizew=182)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24250632abc6e6eac895916aa603ac0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 已知对数函数
的图象过点
.
(1)求
的解析式;
(2)解方程
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b96c517884adfe20128cce3ee27ff2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a73db674d29eae8f8921eff5944983.png)
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10 . 已知函数
(
且
),经过点
.
(1)求实数a的值并指出
定义域;
(2)求满足不等式
的x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25746a9eb7e166ba3dc61272a9ad8f81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0481d24e2af1e0cd348732b9444d1dde.png)
(1)求实数a的值并指出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求满足不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2405c4822bceae1cf191edb502d3b0.png)
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