名校
1 . 已知函数
.
(1)若
时,
的解集为
时,求实数
的值;
(2)若对任意
,存在
,使
,求实数
的范围;
(3)集合
,若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0be5afa2a9e64ec663846e1b4c1404.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bae4f8c44ccb73271388938a6f41c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec25b9d7ca47b780a744c2ebbf31d925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f851f9849dfe2c3306d20d06f712069d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/938328f01241661268ca59fa46d75ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d02e5de0c92487382f4b98376e9740.png)
您最近一年使用:0次
2019-11-08更新
|
237次组卷
|
2卷引用:上海市曹杨二中2019-2020学年高三上学期期中数学试题
解题方法
2 . 自变量
在什么范围取值时,函数
的值等于0?大于0呢?小于0呢?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a4440fa06228bbbf984fca45bdc9aa.png)
您最近一年使用:0次
名校
3 . 如图,OM,ON是两条海岸线,Q为海中一个小岛,A为海岸线OM上的一个码头.已知
,
,Q到海岸线OM,ON的距离分别为3 km,
km.现要在海岸线ON上再建一个码头,使得在水上旅游直线AB经过小岛Q.
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572660084457472/1572660090683392/STEM/b0d8c5c250344947b5efae4081eaa58e.png)
(1)求水上旅游线AB的长;
(2)若小岛正北方向距离小岛6 km处的海中有一个圆形强水波P,从水波生成t h时的半径为
(a为大于零的常数).强水波开始生成时,一游轮以
km/h的速度自码头A开往码头B,问实数a在什么范围取值时,强水波不会波及游轮的航行.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6449e5045458b196b1af56b25d585b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db82973fe1165d3ab158599b553fbe4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ae5017d0f9e9f8f82f17c961da1b71.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572660084457472/1572660090683392/STEM/b0d8c5c250344947b5efae4081eaa58e.png)
(1)求水上旅游线AB的长;
(2)若小岛正北方向距离小岛6 km处的海中有一个圆形强水波P,从水波生成t h时的半径为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73ba89133141567dd9e19ee90d9fd81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff92696e5d9cda77350d5ab75063cec.png)
您最近一年使用:0次
2016-12-04更新
|
817次组卷
|
2卷引用:2016届江苏省苏州大学高考考前指导卷1数学试卷
4 . 已知函数
.
(1)若不等式
的解集为
,求实数
,
的值;
(2)若函数
在区间
有零点,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a3d7a4d0eed52cc45ead4c73a74fc0.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/359783fa6cd35a8b9cb2b7c82312f167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da01c9ff9d68bb26193a391b36c0fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521102aa0b4beb3eed0540742fcf92a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2047dd02cf4f532d91f9ef26d4227a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
5 . 设关于x的不等式
的解集为
.
(1)设不等式
的解集为A,集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
,求
;
(2)若
,
,求m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566b3b5ce1d116f13532c3b9e8be0687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6d39251c07d92914352c39669f976f.png)
(1)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a3d1dabdd80572054e1c15799f9194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd14c6b1c62d90fe8ad9f2acabc74dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd6ac0e7084b6e8537d90ce48c8505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281b7f1f77b4b82e84f906019acca76f.png)
您最近一年使用:0次
6 . 已知函数
,其中e是自然对数的底数,
.
(1)当
时,求不等式
的解集;
(2)当
时,求使方程
在
上有解的整数k的所有取值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf549ee34fe5aad7267b8ca3d97097b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7343e8f9118952329c5c1072caa9b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733842be1a330aeaba21df805feb438b.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)当
时,
图像的最低点坐标为
,正实数
满足
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91287366700231bca2a97c7f1c058c3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64d924836b4292239d9726c6473d7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b056a90a2751f04ba5fff3dc5c1d0674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d12ce14787139eaa3dc33c3b294fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f5c42377adc0921f3c65db88832d43.png)
您最近一年使用:0次
2020-04-30更新
|
132次组卷
|
2卷引用:2019届安徽省宣城市郎溪中学高三模拟考试数学(理)试题
8 . 已知函数
.
(1)求不等式
的解集;
(2)若
的图象与直线
围成的图象面积不小于24,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6750744fbdea56d71f031b209b2056de.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e272244a751ca0c3f96beaafb426dc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
9 . 已知不等式
的解集为
.
(1)求
的值;
(2)若
在
上存在反函数,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bdbb8c428dec8818f45e96b2e71df92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98d9596e9b3ee39180cc72981187927.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02ed2127693ea75aa7e1fe1e1aa06eb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f48ce1bf58f2ef6b2cb3d2e713624fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
10 . 设关于x的不等式
的解集为S,且
,
则实数a的范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba00fecb78dfb745a0d723d26123e2c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ea9a804573617cb3e9414c9a74925b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37e1e7f7463cb4f958a008323b13492.png)
您最近一年使用:0次