名校
1 . (1)已知
,求
的值;
(2)甲乙两人同时解关于
的方程:
,甲写错了常数b,得两根3及
;乙写错了常数c,得两根
及81,求这个方程真正的根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eeae35300b600abb95ae89709560348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0598c279efbe405a91d407c1df5f8905.png)
(2)甲乙两人同时解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0aaa19ab0a7773e57559353aee2fd59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158b045c6172c4178d7aa52083e1489f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c921b2ca2d7e54227cd8e069391a1a5.png)
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2021-09-25更新
|
368次组卷
|
4卷引用:上海市徐汇区南洋中学2020-2021学年高一上学期期中数学试题
上海市徐汇区南洋中学2020-2021学年高一上学期期中数学试题江西省遂川中学2021-2022学年高一上学期第一次月考数学试题(A卷)(已下线)第三章幂、指数与对数全章复习与检测卷-【倍速学习法】(沪教版2020必修第一册)(已下线)专题09对数-【倍速学习法】(沪教版2020必修第一册)
名校
2 . (1)已知lg 2≈0.3010,lg 3≈0.4771,求lg
;
(2)甲乙两人同时解关于
的方程:
,甲写错了常数b,得两根3及
;乙写错了常数c,得两根
及81,求这个方程真正的根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280e36eef811c4ef5056fe859d2cc896.png)
(2)甲乙两人同时解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0aaa19ab0a7773e57559353aee2fd59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158b045c6172c4178d7aa52083e1489f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c921b2ca2d7e54227cd8e069391a1a5.png)
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3 . 方程
的两个正数解
满足
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a33a02a165e04a631ac308c3bff6d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e55de89d9bfb1656353d2fcf53f4985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 已知函数
的图象经过点
,
,且函数
与函数
的图象只有一个交点.
(1)求函数
与
的解析式;
(2)设
,解关于x的方程
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb964a0e2a6ea6f29bd68cacb7649f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4420c83edd0334e519a2222f63a611d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f86ef262ec6b84e93c872e70350680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f2c8ceeec9c3757696b9d30a0fcde1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb964a0e2a6ea6f29bd68cacb7649f86.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6b2241311b4a898f26b9b77745decb.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848c33e3506416358d9f0d3ee66f67a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54f9f59a2038acd15f4664de59c6037.png)
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解题方法
5 . 函数
的图像如图所示,定义域为
,其中
,
,当
时.图像是二次函数的一部分,其中顶点
,当
时,图像是指数函数的一部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/6648dea6-3531-4e14-9329-39f005d1cf7e.png?resizew=179)
(1)求函数
的解析式:
(2)求不等式
的解集:
(3)若
对于
,恒有
恒成立.求出
的取值范围(不要求计算过程).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d381f8891b6b2d2417b7df2492eb3b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302e421a250119f34d8f3c9928730490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bad324be3bebd9c8051c5f502df2b536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d381f8891b6b2d2417b7df2492eb3b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5d54ea50d01535318b10a9fa570931.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/6648dea6-3531-4e14-9329-39f005d1cf7e.png?resizew=179)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbc3dfb24fa1f2a3bbfdb74f5f91eaf.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681d6d27b23b1c41834d7516122f73f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aebfb85aae9dd1ada8c9bc10008f987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae828be829213bd6b66651dce99263c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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11-12高一·全国·课后作业
名校
6 . 甲、乙两人解关于
的方程:
甲写错了常数b,得到根为
,乙写错了常数c,得到根为
.求方程的真正根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d4c1e2788a47a1a169831855c98048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8f204173950ca09c309037fe4d1db75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c20870e7da4e25cf3094c79ae3de850.png)
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2016-12-02更新
|
1225次组卷
|
6卷引用:2012人教B版高中数学必修一3.2对数及其运算练习卷(一)
7 . 设函数
(
为实数).
(1)当
时,若函数
为定义在
上的奇函数,且在
时,
,求函数
的解析式;
(2)当
时,求关于
的方程
在实数集
上的解.
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/64f07328cadb49a799344ff1665562da.png)
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/1d92dedd27a94964958b39fa5c5b5383.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/748ef5d1d1524434a4257f808045eb9a.png)
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/f0d8d2772c034efd82d1d219ff399e71.png)
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/da7d75bebb984d3d878698b41d169130.png)
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/63e54c7d787d42798fa7f4118ed7cced.png)
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/2b7f347406f84a03b10d02e205f5ebc4.png)
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/f0d8d2772c034efd82d1d219ff399e71.png)
(2)当
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/4db5468c28874a66883c6d53334ae29b.png)
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/1a585ecf035042db8e3e5199ed6b5baf.png)
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/3bcd5091743d4b2db72907262254512f.png)
![](https://img.xkw.com/dksih/QBM/2016/11/21/1573163669700608/1573163676000256/STEM/da7d75bebb984d3d878698b41d169130.png)
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8 . (1)求不等式
的解集;
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21712169261c7d201f764bffe124ab85.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e41bff0ca013af2092b7fa7a39adca.png)
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