名校
1 . 已知函数
(
且
).
(1)求函数
的定义域及单调区间;
(2)求函数
的零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5416e40b52beb2c6fdcb11a9ecb8ac2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2 . 已知函数
,常数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)已知
,若
的定义域关于原点对称,求实数
的值;
(2)当
时,判断
在区间
上的单调性,并利用定义证明您的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2476a8ea0b6d2183d3198f00436fdd1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff33b4b5897c2736e3d237f0ab1afdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
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名校
3 . 已知集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd87974065c71abe3ada3c4fc686f8f.png)
(1)化简集合
,
,并求
;
(2)当
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f380b3ae85314efc7e36c294fae45aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd87974065c71abe3ada3c4fc686f8f.png)
(1)化简集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551fd8cd8ea61d794c13074ccd7d6c4e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c61013cde70f63ce22615cb06751fd21.png)
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名校
4 . 已知函数
(
).
(1)若
在
上有意义.求实数a的取值范围;
(2)若
,且
,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff7f49fb6bed6579a0571662096e5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8137b77f9b1d91ef7b5763ac5d265b6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc36a94547a040f34392addf7b2fd3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c06ac3e12c215579a6bcf0036edc42.png)
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名校
解题方法
5 . 函数
的定义域为
,集合
.
(1)求集合
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d9da0f1adae695be1963ded2f97b16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43b3386a5c892061c9016d220391498.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 已知函数
,
.
(1)求函数
的定义域;
(2)若不等式
在
上有解,求实数
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f52f6ee8ead43c46f73102b87a2d943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5b1b49c465429fa637c50d09a29ba5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25a5d7f6bd63c015681d0101567ad01.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf06f6aec578f3afa9ce6b9592075958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58faa8680b033cde9b636c57a9fe9deb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7 . 已知函数
的定义域为
,
的定义域为
.
(1)求
;
(2)设
:
,
:
,若
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b10f97115817a36b30662deec7564b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4affc92991d1f750ebfca9858303b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca06304795e9c2c1fd0b4a52eb8d5b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
11-12高二下·云南大理·阶段练习
名校
8 . 已知函数
.
(1)求
定义域.
(2)判断函数
的奇偶性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae15b037abd9cf52ebc598c3ead7621.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2020-12-13更新
|
657次组卷
|
5卷引用:2011-2012学年云南大理宾川县四中高二5月月考文科数学试卷
(已下线)2011-2012学年云南大理宾川县四中高二5月月考文科数学试卷甘肃省金昌市永昌四中2018-2019学年高二下学期期末考试数学(文)试题宁夏平罗中学2020-2021学年高一上学期期中考试数学试题安徽省六安市新安中学2020-2021学年高一上学期期末数学试题2023版 苏教版(2019) 必修第一册 名校名师卷 第九单元 对数函数 A卷
名校
解题方法
9 . 已知全集
,
,集合
是函数
的定义域.
(1)求集合
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2baeb668ad0cc6f13756399c0a4084ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd719b6e58444bf764ea6f77ee0af6f6.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9ee4df3cd0c5982eec8be19e136130.png)
您最近一年使用:0次
2020-12-13更新
|
639次组卷
|
5卷引用:宁夏平罗中学2020-2021学年高一上学期期中考试数学试题
10 . 求函数
的定义域,并讨论它的奇偶性单调性 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2695c13f5b28b900a2d87c21251989.png)
您最近一年使用:0次
2020-12-10更新
|
378次组卷
|
2卷引用:宁夏石嘴山市平罗中学2020-2021学年高一上学期第二次月考数学试题