1 . 化简或计算下列各式:
(1)
;
(2)
;
(3)已知
,
,用
、
表示
;
(4)已知
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86ce8a046169ced1a5cccb9b44ee4c8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0ba3237bac78776b6be5b8242faca9.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a08a2a5540efcdb5a77aa4ea3049884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850df3e299d9b1ecbda7e3a59e2a255e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e679588b85d84a96167c731a33008c.png)
(4)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ddcbbc305c84916e4fbaf0cb9460d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb9b836fd5af2a082b5a9898a116b33.png)
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2 . 求下列各式的值(写出化简步骤),其中(3)(4)问用分数指数幂表示并计算下列各式(式中字母均正数),写出化简步骤.
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b4ca0b9487d9cbec64b2eafbe1279d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51dafb540faa2a641cd2698f9a2d58b4.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ecffa4066f604e2cc1ed89e4ca70832.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b405ea8de95df494101e8a635a33a9e4.png)
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3 . 化简或计算下列各式:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c4168b323a70f344e86af88df93048.png)
(2)已知
,用a,b表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e679588b85d84a96167c731a33008c.png)
(3)已知
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c4168b323a70f344e86af88df93048.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d586be112cea35ce289229e22bef7dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e679588b85d84a96167c731a33008c.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ddcbbc305c84916e4fbaf0cb9460d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb9b836fd5af2a082b5a9898a116b33.png)
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4 . 化简计算:
(1)
;
(2)已知
,
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97f25442493e7292ef8401a3c8c78bd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880ff9dbaaa804919fbfe743bd2bdefc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611cc97e8f5ccdae8a681da7f0039c24.png)
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5 . (1)已知
,求
的值;
(2)化简并计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd8a7a852cdf50fc5ff8b3d34be3cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94987f47504e21ccc3cd7ce940bdc092.png)
(2)化简并计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189efd4407b04fd3973836dfc3c198ad.png)
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2022-05-23更新
|
1631次组卷
|
5卷引用:江苏省无锡市市北高级中学2021-2022学年高一上学期期中数学试题
江苏省无锡市市北高级中学2021-2022学年高一上学期期中数学试题(已下线)专题06对数函数与幂函数-2022年新高三数学暑假自学课精讲精练(已下线)专题14 对数和对数函数-2023届高考数学一轮复习精讲精练(新高考专用)江西省铜鼓中学2021-2022学年新高一衔接班期末数学试题江西省宜春市铜鼓中学2021-2022学年高一下学期期末考试数学试题
名校
6 . 计算或化简:
(1)
;
(2)已知
,
,求
的值.(用
表示)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb640b4c46c511f05bc6b7ffa0ee35e9.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a08a2a5540efcdb5a77aa4ea3049884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850df3e299d9b1ecbda7e3a59e2a255e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195fa07b5344f1852668f49ae36ac4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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2020-12-26更新
|
129次组卷
|
2卷引用:江苏省无锡市江阴市第二中学2020-2021学年高一上学期12月质量检测数学试题
19-20高一·浙江·阶段练习
7 . 化简与计算:
(1)
;
(2)
;
(3)已知
,
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963172a2e11608b4a2e2c632b1b78597.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428e48975e7628b8ec62404c96ea5805.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5d704cf876d8bcf5429b24fca76bbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c09e73987b8dbd91de651ebee9e7e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa791a760ad60193919b003880d3c40.png)
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8 . 化简计算
(1)
;
(2) 已知
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7985b6a1af21e5e8a63a7616044842.png)
(2) 已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8401ae88b69c8ab0cdeaeba91556a7a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6182d486b1d19e7ec27f635ec7f96084.png)
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9 . 计算:(1)化简![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b1197af91ab9b4933d33303bccb57d7.png)
(2) 已知
=0,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b1197af91ab9b4933d33303bccb57d7.png)
(2) 已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58050c30832d181c3b7df9ff0bcf1ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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10 . 已知函数
的图象关于
轴对称.
(1)求
的值;
(2)若关于
的方程
无实数解,求实数
的取值范围;
(3)若函数
,则是否存在实数
,使得
的最小值为0?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b7fe81461bbd1fedcb4cf79d48b3a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca6c197e551c2afd0a7efad1157a456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634189e47a3819434251b4b0e2622bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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