1 . 已知函数
的图象与
轴有且仅有两个交点,则实数
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eadc00b03b1ca2bfe28700c0fa0b384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.0 |
您最近一年使用:0次
20-21高一下·浙江·期末
名校
2 .
中,内角
,
,
的对边分别为
,
,
,
为
的面积,且
,
,下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d556015a8e1a6214d8fd240e85b66cc7.png)
A.![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-05-11更新
|
567次组卷
|
17卷引用:陕西省西北工业大学附属中学2022-2023学年高二上学期1月期末数学试题
陕西省西北工业大学附属中学2022-2023学年高二上学期1月期末数学试题(已下线)【新东方】双师265高一下(已下线)【新东方】高中数学20210527-027【2021】【高一下】浙江省“七彩阳光”新高考研究联盟2020-2021学年高一下学期期中联考数学试题(已下线)专题6.10 解三角形综合练习(一)-2022届高三数学一轮复习精讲精练(已下线)第28讲 平面向量范围与最值问题-2022年新高考数学二轮专题突破精练上海交通大学附属中学2021-2022学年高一下学期3月线上测试数学试题福建省福州日升中学2022-2023学年高一下学期期中考试数学试题河南省开封市河大附中实验学校2022-2023学年高一下学期第一次月考数学试题广东省湛江市雷州市第一中学2022-2023学年高一下学期第一次月考数学试题重庆市第十八中学2023-2024学年高一下学期3月月考数学试题江苏省无锡市辅仁高级中学2023-2024学年高一下学期3月月考数学试卷重庆市第八中学校2023-2024学年高一下学期4月阶段练习数学试题 湖北省武汉市第六中学2023-2024学年高一下学期4月月考数学试卷广东省茂名市高州中学2023-2024学年高二上学期12月月考数学试题江苏省?邮市第?中学2023-2024学年高一下学期4月阶段测试数学试卷(已下线)专题4 解三角形中的最值与范围问题【讲】(高一期末压轴专项)
解题方法
3 . 已知椭圆
的离心率为
,右焦点为
,斜率不为0的直线l与C交于A,B两点.
(1)求椭圆C的方程;
(2)若直线l经过点
(点A在点B,Q之间),直线BF与C的另一个交点为D,求证:点A,D关于x轴对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
(1)求椭圆C的方程;
(2)若直线l经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d419a3c588616c8e9765cd4bbb6190.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
且
的图象过点
.
(1)求不等式
的解集;
(2)已知
,若存在
,使得不等式
对任意
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12291a5bb418dbfdc6e31c5ffc26acea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ac87c1bd6a7938e64651ac58d051bc.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d4204cf940be2b578a056a7854db2a2.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7905fd422e78a1d22ff6f11950bc5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbeda12757923af6302d15fe252b5681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc7b8e63ed05e5bc3a00281b86720cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0b1eb807465b9f7fe538d444703ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-02-29更新
|
395次组卷
|
4卷引用:陕西省汉中市龙岗学校2023-2024学年高一上学期期末数学试题
名校
解题方法
5 . 如图,过点
的椭圆
的离心率为
,椭圆与
轴交于点
,过点
的直线
与椭圆交于另一点
,并与
轴交于点
,直线
与直线
交于点
;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/c1612ca3-6697-44a0-ba68-fb3bf8bb6cc2.png?resizew=174)
(1)当直线
过椭圆右焦点时,求
点的坐标;
(2)当点
异于点
时,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f6dd0159f0fe46dbc3f4e493f8d3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1ee6720a96e47c7e509941d53dc7a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/c1612ca3-6697-44a0-ba68-fb3bf8bb6cc2.png?resizew=174)
(1)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5215b714cde3ed7790b3ed4f6711c3.png)
您最近一年使用:0次
名校
解题方法
6 . 已知正方体
的棱长为1,H为棱
上的动点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
A.![]() |
B.平面![]() ![]() ![]() |
C.三棱锥![]() |
D.若![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
7 . 已知正项数列
满足
,数列
的前n项和为
,且
.
(1)求
的通项公式;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754fab8d21931dadc416bec9d0372322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3802c33d240597aaaa5f8bb7b872a87.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed48c3e5c53eba20c2e262b7d2c09bfc.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10aeff28f50981f5585dfe28d51d5a84.png)
您最近一年使用:0次
2024-02-28更新
|
339次组卷
|
2卷引用:陕西省西安市鄠邑区2023-2024学年高二上学期期末考试数学试题
8 . 已知双曲线
的左、右焦点分别为
,右顶点为E,过
的直线l交双曲线C的右支于A,B两点,与两条渐近线交于点P,Q(其中点A,点P在第一象限内),设M,N分别为
与
的内心,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b30352c43707c4e54b94ce5b61f2e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47444b5fbc4252516d54263062e47c81.png)
A.点M的横坐标为2 | B.当![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知椭圆
:
的离心率为
,椭圆的一个顶点与两个焦点构成的三角形的面积为
.
(1)求椭圆
的方程;
(2)已知直线
与椭圆
相交于
、
两点,且与
轴,
轴交于
、
两点.
(i)若
,求
的值;
(ii)若点
的坐标为
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6115cadcab3c97b6413ab8642828598e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(i)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5df68b7d1fd358239f30ab81fd6014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(ii)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f519d25dbe037f78950dbda6170fef3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d871b0b46194d7300950e04f085533d2.png)
您最近一年使用:0次
2024-02-20更新
|
250次组卷
|
2卷引用:陕西省西安市第三中学2023-2024学年高二上学期期末数学试卷
名校
10 . 已知抛物线
的准线与
轴相交于点
,过点
且斜率为
的直线
与抛物线交于
两点,
为抛物线的焦点,若
,则线段
的长度为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bdac20e214b2cb3bd07f8d4778dcca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d592968948d3fba4f72a316d952b3e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次