名校
1 . 已知函数
.
(1)若函数
的解集为
,求函数
的解集;
(2)若
,
,
,试证明:对于任意
,有
;
(3)若
时,有
,求证:当
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d7ed6f4b0e08cd887d2fdc2a5e37e4.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd089f65fb0afc3e31275ca01bd158d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008da60eb4dd38b35c5799fd5f7e0e97.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c8cef5386fbe3367564f9ebbc811cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897f9f5f44fe210d22abe4cbe719847d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de87cccecadfae19f11358010521f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88a6bea084567e3055f0e58499398a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0950253f473515ab175867f8fc5b5a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88a6bea084567e3055f0e58499398a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366839b25310cb3168d411b1d5f73b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88a6bea084567e3055f0e58499398a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d781166b65da7a054727f5503591e984.png)
您最近一年使用:0次
名校
2 . 已知函数
,设关于
的方程
的两实根为
,方程
的两实根为
.
(1)若
,求
与
的关系式;
(2)若
均为负整数,且
,求
的解析式;
(3)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b856daebd7eaf5b93a4a48a106f69aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c231b0c1cfa146856de121f9032db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c231b0c1cfa146856de121f9032db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479a8ef1ad7f1e7d2d057cd39acc3d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef8551ec0e5fb16d58152adaf4af57a.png)
您最近一年使用:0次
21-22高一上·全国·课后作业
解题方法
3 .
,若
.
求证:(1)方程
有实数根;
(2)若
,且
是方程
的两个实数根,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f70215f1b05d129496249f76ea479ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0df1491ba2660a39abf52af7fa1cf7.png)
求证:(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4749701479ff908802f2794f1752a58.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e0852599fd15f0648eb8137b098c8da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4749701479ff908802f2794f1752a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7038b62f063f798e6bfae8f9030fea.png)
您最近一年使用:0次
2021-08-22更新
|
313次组卷
|
4卷引用:专练14 三个二次(二次函数、二次方程、二次不等式)的综合运用-2021-2022学年高一数学上册同步课后专练(人版A版必修第一册)
(已下线)专练14 三个二次(二次函数、二次方程、二次不等式)的综合运用-2021-2022学年高一数学上册同步课后专练(人版A版必修第一册)(已下线)试卷20(第1章-7.1 角与弧度)2021-2022学年高一数学易错题、精典题滚动训练(苏教版2019必修第一册)(已下线)课时2.3 (同步练习)二次函数与一元二次方程、不等式-2021-2022学年高一数学新课学习讲与练精品资源(人教版2019必修第一册)(已下线)专题05 集合与不等式综合大题归类
名校
4 . 已知关于x的不等式
的解集是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94bbdee8fdf23ef79b9673a2c7380ba2.png)
(1)求不等式
的解集;
(2)设函数
,判断函数
在
的单调性(不用证明),并求函数
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafbb6de612bd41a200ff94c22985266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94bbdee8fdf23ef79b9673a2c7380ba2.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7199e120624dcdf44151757015e574e.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e571176b5d16acb9f2e6f1595dce654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e0400d730672ae2110ff48786dd1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e0400d730672ae2110ff48786dd1d.png)
您最近一年使用:0次
5 . 设
.
(1)解不等式
;
(2)已知存在
,满足
,证明:当
时,
的图象与x轴围成封闭区域的面积大于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557a758ed12dba4608faa20199a3d951.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(2)已知存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5985b2d230dea42997f863626d78e187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e71b7cc594da8081cc8599f6e2c529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05363d3092ea9007ddc76a57720bdb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
您最近一年使用:0次
2021-02-03更新
|
245次组卷
|
3卷引用:安徽省池州市2020-2021学年高一上学期期末数学试题
名校
6 . 设关于
的一元二次方程
有两个实根
,
.
(1)求
的值;
(2)求证:
,且
;
(3)如果
,试求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f671efb56b261328c1bc718c27242484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096ff7cad47504d2ef7e4e4cbaf4aa38.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d508baa75ae70388bc437d9d9cc71730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dde2c78809169c5aa426bd451e68687.png)
(3)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd0271aef3eb89bfcb02423c774a3cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-10-25更新
|
688次组卷
|
4卷引用:专题11 2.2 一元二次方程的解集及其根与系数的关系 - 2021-2022高一上学期数学新教材配套提升训练(人教B版2019必修第一册)
(已下线)专题11 2.2 一元二次方程的解集及其根与系数的关系 - 2021-2022高一上学期数学新教材配套提升训练(人教B版2019必修第一册)辽宁省大连育明高级中学2021-2022学年高一上学期10月月考数学试题辽宁省大连八中2019-2020学年高一10月月考数学试题(已下线)专题05 集合与不等式综合大题归类