名校
解题方法
1 . 已知函数
(其中
且
)是奇函数.
(1)求
,
的值并判断函数
的单调性;
(2)已知二次函数
满足
,且其最小值为
.若对
,都
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12abbfa8eed1a75cbd847b7702c0474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cede97a97b55e7249c37104e6953aa79.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)已知二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3dea43b478cd72cb419548c21fad67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1556cb6b9c24202a6faae584035c76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa6a2ac9092aed15e4b486291b9f98e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9dc7839d08eb64aaa35c327acbd994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610fd206d6cb7371f8bac9fffddf55c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-11更新
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3卷引用:第06讲 拓展二:利用导数研究不等式能成立(有解)问题-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)
第06讲 拓展二:利用导数研究不等式能成立(有解)问题-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)(已下线)第09讲 第五章 一元函数的导数及其应用 重点题型章末总结-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)安徽省江淮十校2024届高三第二次联考数学试题
2023高一·江苏·专题练习
2 . 求函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23b98774dcee9d2e8fe1fa85f0f0af3.png)
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3 . 已知
,
,请用a,b表示下列各数的值:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a08a2a5540efcdb5a77aa4ea3049884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850df3e299d9b1ecbda7e3a59e2a255e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930f7706c8f0a021d2e81f1cba24cca0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede9f9b1dbd9fd7245f8d032fe1f083d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7613e04019ca879f8269196d0c3527.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed4bed77efc425c51335b4c64761237.png)
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4卷引用:习题 4-2
(已下线)习题 4-2【导学案】2.2 换底公式课前预习-北师大版2019必修第一册第四章对数运算与对数函数北师大版(2019)必修第一册课本习题 习题4-2(已下线)2.2换底公式-同步精品课堂(北师大版2019必修第一册)
4 . 判断下列结论是否正确:
(1)若
,则
;
(2)若
,则
;
(3)
;
(4)
;
(5)
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/263ea8601828cb0fa20e0e2ce32ce65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3cc614daa9bfdc18893a84c637cb82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a945357aa4d7cb2bd48c28af862a3078.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53f44d3cb5e9c3353121cc0394c3a0a.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e580ee5e5d0931f6aa849741d96d8c41.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab81a86cf0b464e000d084498a5c473.png)
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3卷引用:习题 4-2
5 . 求值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b101f5ecc3f1e2556595373a9eb0bfd4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbdc8295e6bf4728ddeb0d5253ac6b9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2945785f9e33199199ea51162f98f0e7.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766ac0b3d9c427ac65362bfe95b70fb0.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bb3dd30eba0d7a7e0d2f13abe98de8.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192e30cf9e30fabd3b16db511898f779.png)
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3卷引用:习题 4-1
解题方法
6 . 求使下列不等式成立的实数x的集合:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09a038155a6da04528bc93dd478842c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7571c68c3c10921a2c3aabcbced2f935.png)
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5卷引用:3.2 对数函数的图象和性质
(已下线)3.2 对数函数的图象和性质北师大版(2019)必修第一册课本例题3.2 对数函数y=log2x的图象和性质【导学案】3.2 对数函数y=log2x的图象和性质课前预习-北师大版2019必修第一册第四章对数运算与对数函数北师大版(2019)必修第一册课本习题第四章3.2对数函数y = log 2 x 的的图象和性质(已下线)4.4 对数函数(10大题型)精练-【题型分类归纳】(人教A版2019必修第一册)
7 . 设
,
,
,且
,
,利用对数的换底公式证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4313f830e9be762a14205f2c2141d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406185f4ad8bcd99e23adc8d289088ed.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4eebfbd681b6faa2f721ce6255e0be7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e17444a36dc88474cedf3d1c1a2288a.png)
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8卷引用:4.3对数
(已下线)4.3对数(已下线)2.2 换底公式北师大版(2019)必修第一册课本例题2.2 换底公式【导学案】2.2 换底公式课前预习-北师大版2019必修第一册第四章对数运算与对数函数北师大版(2019)必修第一册课本习题第四章2.2换底公式(已下线)4.3 对数(6大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)(已下线)2.2换底公式-同步精品课堂(北师大版2019必修第一册)(已下线)【第三课】4.3.1对数的概念+4.3.2对数的运算【第三课】上好三课,做好三套题,高中数学素养晋级之路
8 . 比较下列各题中两个数的大小:
(1)
,
;
(2)
,
;
(3)
,
(
,且
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930f7706c8f0a021d2e81f1cba24cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1729e8a91524e26d22c6427cbe16a15.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d775e7b8db68662937e88754421bbf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caba02e1b957f375a1b31ed22d9f4e65.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52521aa79858ebf9ddcf7edcddd1ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c5124ad9fc9b21eb43d0ba1f2731db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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4卷引用:3.3 对数函数的图象和性质
解题方法
9 . 观察下面的四个函数,指出在区间
内,方程
哪个有解,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a466baea8d78964c2b2bc826d8e35a.png)
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4卷引用:1.1 利用函数性质判定方程解得存在性
10 . 已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e7d77cef092f1ed844608e2f6c61e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d07d630f78c8e43f1d1b7ce2b87c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3942d87c5d163ce9d3620b2e0853b.png)
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3卷引用:复习题三