名校
1 . 已知函数
.
(1)若函数
在
上只有一个零点,求
的取值范围;
(2)若
,记数列
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c5c950433249cbee40438976c48c3e.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2016fb5660a8bd093473903057e08da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef80a3ff6237c407bfb14c1252c59534.png)
您最近一年使用:0次
2 . 已知函数
,
.
(1)讨论函数
的单调性;
(2)当
时,函数
有两个不同的零点
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea400e6c5e28322f5b5c8f8522e1da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc80fc6d83395bf479026a4726194653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd888afdcfdb3e91a157d50f65e915e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066bb2df7fb6ba52c87cbd293b0901e0.png)
您最近一年使用:0次
2023-04-16更新
|
478次组卷
|
2卷引用:海南省儋州市第三中学2022-2023学年高二下学期期中考试数学试卷
3 . 已知过点
的直线
与双曲线
:
的左右两支分别交于
、
两点.
(1)求直线
的斜率
的取值范围;
(2)设点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa4b9c4ddbe4218edabe94f52267795.png)
,过点
且与直线
垂直的直线
,与双曲线
交于
、
两点.当直线
变化时,
恒为一定值,求点
的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bacfc149ede71417fa599c21b5a84cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea74737939c0f94c91229a7098f36ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa4b9c4ddbe4218edabe94f52267795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f94701362e10a7b786fdb1b6f8e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff882ce6189aaace477e4ca5e035bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
2023-04-13更新
|
1860次组卷
|
7卷引用:海南省海口市海南中学2023届高三二模数学试题
海南省海口市海南中学2023届高三二模数学试题浙江省台州市2023届高三下学期4月第二次教学质量评估(二模)数学试题江苏省常州市戚墅堰高级中学2023届高三二模模拟数学试题(已下线)模块八 专题9 以解析几何为背景的压轴解答题(已下线)专题07 平面解析几何(已下线)押新高考第21题 圆锥曲线专题20平面解析几何(解答题)
名校
解题方法
4 . 已知函数
.
(1)当
时,求函数
的单调区间;
(2)当
时,若函数
在
上既有最大值又有最小值,且
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e0a486373dff62c7b92c4cf36afec6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6abb41ec709409c940894fe7401ac1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2023-09-01更新
|
818次组卷
|
6卷引用:海南省海口市北京师范大学海口附属学校2023-2024学年高一上学期期中考试数学试题
5 . 已知椭圆
的离心率为
,且椭圆C经过点
,过右焦点F的直线l与椭圆C交于A,B两点.
(1)求椭圆C的方程;
(2)设O为坐标原点,求
面积的最大值以及此时直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0471cd3dccabaef113cd5761544d7c.png)
(1)求椭圆C的方程;
(2)设O为坐标原点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
您最近一年使用:0次
2023-04-09更新
|
1859次组卷
|
10卷引用:海南省华侨中学2023届高三第四次模拟考试数学试题
海南省华侨中学2023届高三第四次模拟考试数学试题山西省部分学校2023届高三下学期4月联考数学试题河南省创新发展联盟2023届高三下学期二模考试数学(理)试题河南省创新发展联盟2023届高三下学期二模考试数学(文)试题辽宁省县级重点高中联合体2023届高三二模数学试题吉林省白山市2023届高三下学期四模联考(4月期中)数学试题河北省保定市唐县第一中学2022-2023学年高二下学期5月月考数学试题陕西省商洛市洛南中学2022-2023学年高二下学期期中理科数学试题(已下线)高二数学上学期期中考模拟卷(直线与方程+圆与方程+圆锥曲线与方程)-【考点通关】2023-2024学年高二数学高频考点与解题策略(苏教版2019选择性必修第一册)(已下线)专题15 圆锥曲线综合
解题方法
6 . 已知椭圆
的离心率为
,椭圆的右焦点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
(1)求椭圆
的方程;
(2)
、
是椭圆的左、右顶点,过点
且斜率不为
的直线交椭圆
于点
、
,直线
与直线
交于点
.记
、
、
的斜率分别为
、
、
,是否存在实数
,使得
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd743775190d205936f7737a9a219e37.png)
您最近一年使用:0次
7 . 已知双曲线
,
,
分别为双曲线的左、右焦点,
为双曲线上的第一象限内的点,点
为△
的内心,点
在
轴上的投影
的横坐标为___________ ,△
的面积的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de66df5b4cd1344339588b99bf7214a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5a8e1bc9748e5519dcd9981b7eb251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe552b675f79b6390be4c20ea007040f.png)
您最近一年使用:0次
2023-04-06更新
|
389次组卷
|
3卷引用:海南省海南中学、海口一中、文昌中学、嘉积中学四校2023届高三下学期联合考试数学试题
解题方法
8 . 如图,在平行四边形
中,
,
,
,沿对角线
将△
折起到△
的位置,使得平面
平面
,下列说法正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/8/dd6d971e-bccb-4d9f-9d6b-805748e5d531.png?resizew=167)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/8/dd6d971e-bccb-4d9f-9d6b-805748e5d531.png?resizew=167)
A.三棱锥![]() | B.平面![]() ![]() |
C.![]() ![]() ![]() | D.点![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 如图,2022年世界杯的会徽像阿拉伯数字中的“8”.在平面直角坐标系中,圆
和
外切也形成一个8字形状,若
,
为圆M上两点,B为两圆圆周上任一点(不同于点A,P),则
的最大值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939370a9601aaa3b75ecd07beadcb7fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b57ec29e885fbb3ec8325ddac2469a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec3fdb2722c0bcac5303546e87152a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5a6145990adf5574f0e0f2fc828ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-01更新
|
1234次组卷
|
7卷引用:海南省海口市海南中学2023届高三二模数学试题
海南省海口市海南中学2023届高三二模数学试题河南省安阳市2023届高三第二次模拟考试理科数学试题河南省安阳市2023届高三第二次模拟考试文科数学试题(已下线)专题07平面向量(已下线)专题07平面向量河南省信阳市信阳高级中学2022-2023学年高二下学期6月月考数学试题(已下线)压轴题06向量、复数压轴题16题型汇总-2
名校
解题方法
10 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a021d9b77e7275870e1a87445fa4505b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb0d4dfdc25b37f2d222c13a41fb45e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9281ebca5bdb900cbed33902bd9b5a87.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-26更新
|
2088次组卷
|
9卷引用:海南省华侨中学2023届高三第四次模拟考试数学试题