名校
解题方法
1 . 已知二次函数
满足
,且
.
(1)求
的解析式;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7bff4570ec691a886a16b602944cc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab30faa78cc53c104f61b1cd906c365.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07367a4ca40aa9f939e75197f00b0c6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)若
,求
的值域;
(2)若
的定义域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d90f3714267c42b18a2ae99c5f98a8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
3 . 对于定义域为
的函数
,若存在区间
,使
在
上的值域为
,则称区间
为函数
的“最美区间”.
(1)求函数
的“最美区间”;
(2)若
存在最美区间
函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0195f699765021e2c6ea985e487971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a5ff66832ed844c01532a5cf603a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
4 . 已知二次函数
,且满足①不等式
的解集为
:②函数
的图象过点
.
(1)求函数
的解折式:
(2)设
,求函数
在
上的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d7ed6f4b0e08cd887d2fdc2a5e37e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99839290ccd42c26f1c391aa36e787e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990eaf5dbba84f199bdc438da81fcfa6.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6785823721fb2e288b417ba2d617ef04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ecfb37a8058916d5b12b2427be7a406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c258f572aea4856fd947cd8ee40acd41.png)
您最近一年使用:0次
2023-10-31更新
|
385次组卷
|
2卷引用:重庆市南开中学2023-2024学年高一上学期10月阶段测试数学试题
5 . 若实数
满足
,则称
比
远离
.
(1)若
比
远离1,求实数
的取值范围;
(2)若
,试问:
与
哪一个更远离
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d32d4403d0e81eacfbe429dc51f07f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b782dd2de9c9caa840838cd63d817de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384644d7bf34625fd3af5083436f5e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
6 . 对于二次函数
,若存在
,使得
成立,则称
为二次函数
的不动点.
(1)求二次函数
的不动点;
(2)若二次函数
有两个不相等的不动点
,且
、
,求
的取值范围;
(3)若对任意实数
,二次函数
恒有不动点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7afa70a213c1f530ab70e0786deac7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070054c0b4182ab7399ed56925844e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c161d512f99df7d4d3cb4b5815153d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7afa70a213c1f530ab70e0786deac7a7.png)
(1)求二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e87b909f2729e677e7755535317296.png)
(2)若二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d6e9ecfe92db1e5f2e45a9700fbac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fe3251e054fe97089806ba7033f802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2870d289e69ce43c3f7798aeb6bf44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-10-09更新
|
259次组卷
|
3卷引用:重庆市铜梁一中等三校2023-2024学年高一上学期10月联考数学试题
名校
7 . 设函数
,其中
.
(1)若
,求不等式
的解集;
(2)求证:
,函数
有三个零点
,
,
,且
,
,
成等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88cbc0eab4122a84a32cc567933095f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ca5670a2c9349f5af7a854c1134488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18875101c5682fdb50976ae6d958bb7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
您最近一年使用:0次
2023-08-18更新
|
322次组卷
|
3卷引用:重庆市第八中学校2023届高三下学期适应性月考(八)数学试题
8 . 设函数
.
(1)当
时,求函数
的值域;
(2)记函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4454de4c1fe4944d61826e030d2afa05.png)
,若方程
有三个不同的实数根
,
,
,且
,求正数
的取值范围;
(3)在
的条件下,若
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ed71b5bd5732a1f69824d767f8a6ca.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4454de4c1fe4944d61826e030d2afa05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9cd3690e7aa3debb1ed054a9f622da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20bd165f178bbe4c2520743bfb22736e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b61352b441a2c5370bed9910fdd907f.png)
您最近一年使用:0次
名校
解题方法
9 . 函数
,方程
有三个互不相等的实数根,从小到大依次为
.
(1)当
时,求
的值;
(2)求符合题意的
的取值范围;
(3)若对于任意符合题意的
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f95842e86d20c4cfb0db08675cbc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c543b45884d75765b16c78bcd0e149.png)
(2)求符合题意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若对于任意符合题意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e18c65d75a24393e4d814da3b8f9f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2022-12-01更新
|
912次组卷
|
2卷引用:重庆市南开中学2022-2023学年高一上学期12月月考数学试题
名校
10 . 如图,一次函数
图象与坐标轴交于点A、B,二次函数
图象过A、B两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/5eb73421-598f-42d4-a131-b48a24fa89be.png?resizew=187)
(1)求二次函数解析式;
(2)点B关于抛物线对称轴的对称点为点C,点P是对称轴上一动点,在抛物线上是否存在点Q,使得以B、C、P、Q为顶点的四边形是菱形?若存在,求出Q点坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b524b29d710b86982c9a9f1df40575e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03289c25b274eb51ecb90f7690acc10.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/5eb73421-598f-42d4-a131-b48a24fa89be.png?resizew=187)
(1)求二次函数解析式;
(2)点B关于抛物线对称轴的对称点为点C,点P是对称轴上一动点,在抛物线上是否存在点Q,使得以B、C、P、Q为顶点的四边形是菱形?若存在,求出Q点坐标;若不存在,请说明理由.
您最近一年使用:0次