1 . 已知实数x,y满足
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f6ab027404b25dd4b24e2f28b898029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e4db9cbb6496cce8141bddb83c51d6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 在平面直角坐标系
中,已知直线
与抛物线C:
相切.
(1)求m的值;
(2)已知点
,
在抛物线C上,A,B分别位于第一象限和第四象限,且
,过A,B分别作直线
的垂线,垂足分别为
,
,当四边形
面积取最小值时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec68c680d1b8c8cfa98b48a27d2c46a1.png)
(1)求m的值;
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f8ec3a4456209b619d083b73f1218d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解题方法
3 . 已知函数
图象上的点
与方程
的解
一一对应,则下列选项中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0ec8aa466248a663cc603fdc06eeef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
A.![]() | B.0是![]() |
C.![]() ![]() | D.![]() |
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4 . 已知函数
在
上仅有两个零点,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd69e1358c1008079a5c9324f685e604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数
,其中
且
.
(1)求
的值,判断
的奇偶性并证明;
(2)函数
有零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1ee79efe2e33eacd7eb80c82263e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4266704cf6a09ed98228ee26d91f402c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b77d8fd3ed34166e990b3d79b03b57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 下列物体中,能被整体放入底面直径和高均为1(单位:
)的圆柱容器(容器壁厚度忽略不计)内的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
A.直径为![]() |
B.底面直径为![]() ![]() |
C.底面直径为![]() ![]() |
D.底面边长为![]() ![]() |
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解题方法
7 . 已知椭圆
的左、右焦点分别为
,左、右顶点分别为
.
为椭圆
上任意一点,且
的最大值为3,最小值为1.
(1)求椭圆
的标准方程;
(2)过点
的直线
与椭圆
交于
两点(均异于
),求直线
与
交点的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f98254a6193566587a70c7d95fdabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2988e435ffb7935d49569ee824262f.png)
![](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/f4ef569668e797b1e94257fd5f4384dd.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3648c864f9f58da1dbb166fee84cfeaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2988e435ffb7935d49569ee824262f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce1b066f8869d0ff4513f7a99745125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32f1d6db99180ae7ee8af66f423dded.png)
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8 . 已知函数
.
(1)若
是偶函数,求实数
的值;
(2)当
时,
,若关于
的方程
在区间
上恰有1个实数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06eeb6ee6acf06beac15b9ba0d44cdba.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f7eb9e5d0d2dc6c8897f6c7863518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa0b6033aba3978ab687ce54d35f58b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a13f3df2e1a444f41bc132431848eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
9 . 已知椭圆C:
的短轴长和焦距相等,长轴长是
.
(1)求椭圆C的标准方程;
(2)直线l与椭圆C相交于P,Q两点,原点O到直线l的距离为
.点M在椭圆C上,且满足
,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
(1)求椭圆C的标准方程;
(2)直线l与椭圆C相交于P,Q两点,原点O到直线l的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748ce363bf0d656545db3cc6c8d01690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55970416efa218b37072b8dcb588c419.png)
您最近一年使用:0次
2023-02-15更新
|
383次组卷
|
5卷引用:贵州省六盘水市盘州市第一中学2023-2024学年高二上学期期末考试数学试题