解题方法
1 . 已知命题
,
为真命题,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae13fef7c52cac474116117af47d21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1ee04af34ae05be8640159cf687004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
解题方法
2 . 已知椭圆C:
的焦点分别为
.设直线
与椭圆C交于
两点,且点
为线段MN的中点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee7ab179843c6950e46559cc1cc203d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254509cfa2593c3b62d32ac2113ab201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3976fc034712ebf0eb71fa836a45dd41.png)
A.![]() | B.椭圆C的离心率为![]() |
C.直线![]() ![]() | D.![]() ![]() |
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解题方法
3 . 已知函数
,则
的值域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab93272538e0153f6967b3e5e1c0201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-25更新
|
406次组卷
|
2卷引用:山东省实验中学2024届学年高三第二次诊断考试数学试题
4 . 下列四个结论中,正确的结论是( )
A.“所有平行四边形都是菱形”是全称量词命题 |
B.已知集合![]() ![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() |
D.“![]() ![]() |
您最近一年使用:0次
2023-12-24更新
|
137次组卷
|
2卷引用:山东省济宁市邹城市2023-2024学年高一上学期11月期中教学质量检测数学试题
名校
5 . 已知函数
.
(1)若函数
在
上单调递增,求
的取值范围;
(2)若函数
的图象与
有且只有一个交点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ae117d9165111bc440cd1b4ca2e0db.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c164755dc2d7cff80fb4c9cffc9be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708c7d041046e3e9e9f593ec77a64c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 某劳动教育基地欲修建一段斜坡,假设斜坡底在水平面上,斜坡与水平面的夹角为
,斜坡顶端距离水平面的垂直高度为2.4米,人沿着斜坡每向上走1米,消耗的体能为
,则从斜坡底走到斜坡顶端所消耗的最少体能为______ ,此时![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5a0bf80b5437c406a79ee385b2a1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
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解题方法
7 . 命题
:关于
的方程
的两个不相等的正实根,命题
:
,
(1)若命题
为真命题,求
的取值范围;
(2)若
是
的充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd06577bb327378efb7d2547d68a7b7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bf5083fc59f8d8624b62a18c2bfdad.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 已知椭圆
的左、右顶点分别为
.
(1)设
为
上异于
的任意一点,求直线
与直线
斜率之积.
(2)已知
,直线
分别与
交于
(异于
),求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d468be20b4d43f5de75416de20e8ee.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d468be20b4d43f5de75416de20e8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24006d28116bc097933cc90bcc0ea69f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2451835b9ad821bc17a317bc0189a38.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1e994dea7ec23067733898b8936a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05faa2af7c1340e52fd0c04c3b0a10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d468be20b4d43f5de75416de20e8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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解题方法
9 . 已知集合
.命题
,命题
,若
是
的必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c14bb8bcee3156c77c932d50dab5ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc11e9183ffccd297df4a1c18618bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218c5309e534904dc6bf768074965239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知
为坐标原点,
,
,直线
,
的斜率之积为4,记动点
的轨迹为
.
(1)求
的方程;
(2)直线
经过点
,与
交于
,
两点,线段
中点
在第一象限,且纵坐标为4,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42f05b013e4b7166cbc87c5a83d6a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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