名校
解题方法
1 . 已知四条双曲线,
,
,
,
,关于下列三个结论的正确选项为( )
①
的开口最为开阔;
②
的开口比
的更为开阔;
③
和
的开口的开阔程度相同.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1377b1fc1d8c90caaacc317aa35695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de47ad74a34acc4ecf1f8dd038932720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3269d258823467abdde40c325a3fece5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1490801a959d1c9564daa8ed49d81ccb.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59639b9c4eadbbfb2f4f2b57d9c4c3a1.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e518eeb07c02795385449a4f29cc88.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e518eeb07c02795385449a4f29cc88.png)
A.只有一个正确 | B.只有两个正确 | C.均正确 | D.均不正确 |
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2022-12-15更新
|
561次组卷
|
6卷引用:上海市嘉定区2023届高三上学期一模数学试题
上海市嘉定区2023届高三上学期一模数学试题上海市奉贤中学2023-2024学年高二上学期期中数学试题(已下线)专题 3.3 双曲线性质归类(2)上海市朱家角中学2023-2024学年高二上学期12月月考数学试题(已下线)专题11圆锥曲线单元复习与测试(21个考点25种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)(已下线)上海市高二下学期期末真题必刷01(易错题)--高二期末考点大串讲(沪教版2020选修)
2 . 若函数
满足
且
,则称函数
为
函数
(1)试判断
是否为
函数,并说明理由;
(2)函数
为
函数,且当
时,
=
,求
的解析式,并写出在
上的单调递增区间;
(3)在(2)的条件下,当
,关于
的方程
(
为常数)有解,记该方程所有解的和为S,请求出S.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d61f63c51f3b3ec2ee91f24ffcac6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd51b3cbd5dc46c1788178fd89dfb9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a185071eb029625e2c6d349e021168b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d30b193d1befc87b1a2a400e39b9b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48345d239aaf8e9ca1ff2846c08a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3598b470f4a06b6e19194171b2a24d87.png)
(3)在(2)的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba576317e7e0484fb251f75f38862d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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