名校
解题方法
1 . 若关于x的不等式
的解集为
,则实数a的范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa679694f6dc1ed58743cd6e8241fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
您最近一年使用:0次
2022-12-24更新
|
540次组卷
|
3卷引用:上海市闵行(文绮)中学2023-2024学年高一上学期12月学情调研数学试题
上海市闵行(文绮)中学2023-2024学年高一上学期12月学情调研数学试题上海市进才中学2022-2023学年高一上学期12月月考数学试题(已下线)5.2.3 函数的最值-同步精品课堂(沪教版2020必修第一册)
名校
2 . 若函数
自变量的取值范围为
时,函数值的取值区间恰好为
,则称区间
为函数
的一个“和谐区间”.已知函数
是定义在
上的奇函数,当
时,
,
(1)求函数
在
上的解析式;
(2)求函数
在
内的“和谐区间”;
(3)关于
的方程
在
上有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4f916c131594aeeaa29937bca1e8e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5dad7a704fc2b38d6a0cea29263199c.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(3)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bea1ef77606c7b002176433997c133f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-02-15更新
|
428次组卷
|
3卷引用:上海市文来高中2022-2023学年高一上学期12月阶段测试数学试题
解题方法
3 . 对于函数
及正实数
,若存在
,对任意的
,
恒成立,则称函数
具有性质
.
(1)判断函数
是否具有性质
?并说明理由;
(2)已知函数
具有性质
,求实数
的取值范围;
(3)如果存在唯一的一对实数
与
,使函数
具有性质
,求正实数
的取值情况.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cf3765e5650555113994da8771e3e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b80225b1c0e43c14d90ee75f50f9817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5cc7b3d2601cd882e374f38df5e254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326452bda2f207bbb661b4e805fd7f59.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a3b559d22b7ab01ecd87e99a5fdb01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9beb2fb34710397280c318e5392e19f.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20be954eb33ebab545112d07e04c794b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714efc5adfb2e2910fb190a299215bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)如果存在唯一的一对实数
![](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/2bb2c1e778d749382c00d0cca83cfb71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326452bda2f207bbb661b4e805fd7f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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2022-01-24更新
|
333次组卷
|
2卷引用:上海市闵行区2021-2022学年高一上学期期末数学试题
名校
4 . 已知函数
(常数
)满足
.
(1)求
的值,并对常数
的不同取值讨论函数
奇偶性;
(2)若
在区间
上单调递减,求
的最小值.
(3)若方程
在
有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f168350df63ffad561fe335f8d4b805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3265508e0cc5aef7d5ce7b664fac4dfd.png)
(1)求
![](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/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b1bed4218d187b4846ce8e0975f2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ad8e676691b981df6c8d15137f21ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de71d25c72850e383a4c841eed0db99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
5 . 若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0937f5a8ad2afa56381cc9d584f6d3.png)
(1)当
时,设
所对应的自变量取值区间的长度为
(闭区间
的长度为
),试求
的最大值;
(2)是否存在这样的
使得当
时,
?若存在,求出
的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0937f5a8ad2afa56381cc9d584f6d3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77bd2b5113133614c6ee86d670953565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e669d502287cab6a74d72fb4aa1ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65185cb5d67a482a7c86afc70fdbd230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)是否存在这样的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ede5cb0407ac7f334a726eeac5d89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a916b565f017ddad96d04077568bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e669d502287cab6a74d72fb4aa1ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
6 . 若直线
的倾斜角的范围为
,则
的斜率的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bddac8f2a6154acc146b516607313d0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
7 . 已知函数
,(
为实数).
(1)根据
的不同取值,讨论函数
的奇偶性,并说明理由;
(2)若对任意的
,都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9f333cee2ccb2b215d93011a162f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46092f5f8ff359d4a7baa0972566640a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-01-08更新
|
337次组卷
|
4卷引用:上海市七宝中学2022届高三冲刺模拟卷二数学试题
名校
8 . 设
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369dd3ff5cc1dea0949d0a538e3cdebb.png)
,记
.
(1)若
,
,当
时,求
的最大值;
(2)若
,
,且方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d533c2927bf8b0de9dd6fe3659f59e72.png)
有两个不相等的实根
、
,求
的取值范围;
(3)若
,
,
,且a、b、c是三角形的三边长,试求满足等式:
有解的最大的x的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f33b53f9075962e636fd8a92a71a71f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369dd3ff5cc1dea0949d0a538e3cdebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ad943df3f041566c76f1a3b1513852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4bb053ba9f2751c97b3dc4c1898080b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4880034fc9384ba2c267747628ec8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d533c2927bf8b0de9dd6fe3659f59e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2ed12bdfda0c5bfff863f6da53cfec.png)
![](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/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81eedd077b507f134c97a79293190a9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d10a32f013100f9a42d8a88d7fb222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
您最近一年使用:0次
2020-01-15更新
|
206次组卷
|
2卷引用:上海市七宝中学2017-2018学年高三上学期10月月考数学试题
9 . 设三角形
的内角
所对的边长分别是
,且
.若
不是钝角三角形,求:
(1)角
的范围;
(2)
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b1dd07c0571772e96d318f974724810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb20369fd1af5a2cbf495a2271820f0.png)
您最近一年使用:0次
2016-12-03更新
|
743次组卷
|
2卷引用:2015届上海市闵行区高三下学期质量调研考试(二模)理科数学试卷
名校
解题方法
10 . 对于两个实数
,
,规定
,
(1)证明:关于
的不等式
解集为
;
(2)若关于
的不等式
的解集非空,求实数
的取值范围;
(3)设关于
的不等式
的解集为
,试探究是否存在自然数
,使得不等式
与
的解集都包含于
,若不存在,请说明理由,若存在,请求出满足条件的
的所有值.
![](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/9f4511ddd731101f31a812687f876d3d.png)
(1)证明:关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4467d44e9a3a7faa7b86a258aeecd06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4d721dec802cd82c01d1ff1e9760c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc051b9ac95776718cbcb3f740931f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700fa4dfbe1d291042d435778db55f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7eca6a3e53f7e7b89c996322588a505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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