名校
解题方法
1 . 设函数
,
(
且
),若
.
(1)求函数
的定义域;
(2)判断
的奇偶性,并说明理由;
(3)求使
成立的
的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b52a845de8bcc6c6293985a317d27f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f27a7ba8378e35ae0d766f090c5bf3.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/bf79a495595ec71447fcfa14b80e4dca.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(3)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc2395f479a7f620dc7a8168f87adef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2020-03-01更新
|
466次组卷
|
3卷引用:河南省郑州市八校2019-2020学年高一上学期期中联考数学试题
名校
2 . 已知函数
是对数函数,且它的图象过点
.
(1)求函数
的解析式;
(2)求
,
,
的值;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d931e9375b90293ee18cf2203c2201dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9caca5857a380094d5d684761e174657.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b71076a96bb2d9080d81441060f90d.png)
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3 . 已知函数
,
(1)判断函数的奇偶性,并证明;
(2)若不等式
有解,求c的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba0a3e3d0efe1ed76a7dc4e7e06d2c6.png)
(1)判断函数的奇偶性,并证明;
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5302abd538e1b6f2db654ed90d58a0.png)
您最近一年使用:0次
2020-02-03更新
|
404次组卷
|
4卷引用:2017届上海市杨浦区高考二模数学试题
名校
解题方法
4 . 已知
为偶函数,
.
(1)求实数
的值;
(2)若
时,函数
的图象恒在
图象的下方,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6edee72e6b6669679932b57cb2378ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95234cf79dd6ecdf09390dcf3f9f6954.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
5 . 给出下列结论:
①
,
的值域是
;
②幂函数图象一定不过第四象限;
③函数
的图象过定点
;
④若
,则
的取值范围是
;
⑤若
,则
.
其中正确的序号是_______________ .
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed98908cafab389da7a12ee93fb27291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a555bbdb310ad9891f8dc5ee3c906ab9.png)
②幂函数图象一定不过第四象限;
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd14520402fda7d52ca9c6b736eee02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef807780b7dbc827f1846e7a8cda7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24f2b312340ad099fe02243411d30cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8d93ef14e700c6bed4e4d31625925a.png)
其中正确的序号是
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6 . 若集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bbe6bd3a0e51d6e61ee2dfcf1222d97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abdc31ffaa7d352818b621b75b576ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知集合
,集合
,求
。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f835344f31fc46902ddc6c9a0cd3187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd9b741ff23f4c222b99568586216ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
您最近一年使用:0次
名校
解题方法
8 . 已知
,
.
(1)求
和
;
(2)定义
且
,求
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd396f4f8179b2689c62d395b319b6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bff7add40d41a8f5e3a0611f6426931.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a395870f77df4005141e9e4d72751fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb7c317f907cd7fda5ae49b24f2d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06430886275f5ad62bcda62fce691e99.png)
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9 . 已知函数
,
,其中
.
(1)解关于
的不等式:
;
(2)若函数
的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce106b9e6495d83f818ac6ade11483a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f2b74960251cdb8ab39546f055bd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44e312eca38032174f9739126b81d012.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-12-12更新
|
345次组卷
|
2卷引用:江苏省苏州市常熟市2019-2020学年高一上学期期中数学试题
名校
10 . 已知函数
是偶函数.
(1)求
的值;
(2)解不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f65f8ff950d3897f914c96abac10195.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512798533639ed38424f7b0f6876d09e.png)
您最近一年使用:0次