名校
解题方法
1 . 已知椭圆
的左、右焦点分别为
,
,以线段
为直径的圆与C在第一、第三象限分别交于点A,B,若
,则C的离心率的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.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/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2a7407f472746d6317739f831b4533.png)
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499次组卷
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4卷引用:江西省部分学校2024届高三上学期12月联考数学试题
名校
解题方法
2 . 双曲线
左右焦点分别为
,
,过点
直线
与双曲线右支交于
,
两点,弦
的中垂线交
轴于
,若
,则该双曲线渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.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/f52a58fbaf4fea03567e88a9f0f6e37e.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/d3aec335cbb956999b4c53130c548cdb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:江西省南昌市2023-2024学年高二上学期期末模拟数学试题
名校
3 . 已知奇函数
和偶函数
满足:
.
(1)分别求出函数
和
的解析式;
(2)若函数
在区间
上单调递减,求实数
的取值范围;
(3)若对于任意
和任意
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a936e678690909c5a6e9d7a69bdec43e.png)
(1)分别求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3175de5c5ce987ca2658f5babc543e34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f6d8ff9d05c44612d13a2ffc42814d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5d54ea50d01535318b10a9fa570931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05311a01a91dbd994b3c8c7f3e99e95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6fd3d0359c338a44233cafeaef96a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-12-20更新
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2卷引用:江西省上饶市第二中学2023-2024学年高一上学期期中数学试题
名校
解题方法
4 . 已知椭圆
:
中,A为
的上顶点,P为
上异于上、下顶点的动点,
为x轴上的动点.
(1)若
,求点P的纵坐标;
(2)设
,若
是直角三角形,求
的值;
(3)若
,是否存在以AM,AP为邻边的平行四边形MAPQ,使得点Q在
上?若存在,求出此时点P的纵坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f20514de7d0eda255ce62f94fdd0bc7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140a5a69235a6e398c894955cc1bb1b5.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cccdb7fef301425d53500da01970184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784b26de6134b6d3f5a81e2882a7d7f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96554444f1c1797a8c47149d65705092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
您最近一年使用:0次
2023-12-20更新
|
460次组卷
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2卷引用:江西省上饶市广信二中2023-2024学年高二上学期期中数学试题
名校
解题方法
5 . 若函数
与区间
同时满足:①区间
为
的定义域的子集;②对任意
,存在常数
,使得
成立;则称
是区间
上的有界函数,其中
称为函数
的一个上界.
(1)判断函数
是否是
上的有界函数;
(2)试探究函数
在区间
上是否存在上界
,若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791e0a33ac5593e2ac213d1220595c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea232de27d21a2646fd4520ea0726bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcac06f24e866db6cd4a2de2a70309e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(2)试探究函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5892ae56312acc22f56a924e561256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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解题方法
6 . 已知椭圆
过点
.
(1)求
的离心率;
(2)若
是
的左焦点,
分别是
的左、右顶点,
是
上一点(
不与顶点重合),直线
交
轴于点
,且
的面积是
面积的
倍,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ae67a70838495508df9d02eae7c5a3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27854b5d03d8f098be52a77ce283a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155cf439be44485d5ed90832076a6dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb16d1089cf194d658387742e1c2a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
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2卷引用:江西省部分高中学校2023-2024学年高二上学期11月月考数学试卷
名校
7 . 已知函数
.
(1)当
时,证明:
只有一个零点.
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/379164b4c4bf35f19fc964dcfcb7ab02.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9222ffc26c0e6bfbf252ab5d8a520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b581098a825ab4b15667fa1e331bc307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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|
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4卷引用:江西省部分高中学校2023-2024学年高三上学期11月联考数学试卷
2023·全国·模拟预测
名校
8 . 已知实数
,
满足
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ee23284c0c7e46a27147ab0386557b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1262fafc179abd7dc5684337713b3c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056664bec08428fa01c07c2cff8452.png)
A.6 | B.1 | C.5 | D.3 |
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3卷引用:江西省上饶市第二中学2023-2024学年高一上学期期中数学试题
江西省上饶市第二中学2023-2024学年高一上学期期中数学试题(已下线)2024年普通高等学校招生全国统一考试文科数学领航卷(八)湖南省长沙市麓山国际实验学校2023-2024学年高一上学期第二次适应性测试数学试题
名校
9 . 已知函数
.
(1)当
时,讨论
的单调性;
(2)当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4ad82cdda88dea641b00e77831cb46.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa9a3d6b4e1b9881e36f0f5d194af42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cb1d2b87ce8d7cb5d293c91249c2c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6卷引用:江西省吉安市青原区双校联盟2022-2023学年高二下学期期末考试数学试题
江西省吉安市青原区双校联盟2022-2023学年高二下学期期末考试数学试题江西省2024届高三第一次稳派大联考数学试题山东省部分学校(中昇)2023-2024学年高三上学期开学摸底大联考数学试题山东省泰安新泰市第一中学(实验部)2023-2024学年高三上学期第一次质量检测数学试题(已下线)阶段性检测2.3(难)(范围:集合至复数)(已下线)第09讲:一元函数的导数及其应用 (必刷7大考题+7大题型) -2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)
名校
解题方法
10 . 已知函数
,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ffff62fdce7a7930cd42bcc668569b.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() |
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2卷引用:江西省上饶市广丰一中2024届高三上学期12月月考数学试题