名校
解题方法
1 . 已知函数
,若函数
有唯一极值点,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9525bdfdf009cebece1bd76a526c204e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-05-02更新
|
286次组卷
|
4卷引用:四川省绵阳南山中学2023-2024学年高二下学期期中考试数学试题
四川省绵阳南山中学2023-2024学年高二下学期期中考试数学试题重庆市南坪中学2020-2021学年高二下学期期中数学试题黑龙江省哈尔滨市南岗区实验中学2021-2022学年高三上学期数学(理)第三次月考(开学考)试题(已下线)专题6 指数、对数同构问题【讲】(高二期末压轴专项)
2 . 如图,抛物线
与
轴负半轴交于点
,与
轴正半轴交于点
,与
轴交于点
,
.
(1)求抛物线的解析式;
(2)设
是第四象限内抛物线上的点,连接
.
①求点
的坐标;
②连接
,若点
是抛物线上不重合的两个动点,在直线
上是否存在点
(点
按顺时针方向排列,点
按顺时针排列),使得
且
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7b50361cfc74af7a250e058f8c0c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2a988dc9f03fffcd8acb720d706e9c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/9/72af2cf6-46f5-4831-b8b4-a2f336555c3e.png?resizew=278)
(1)求抛物线的解析式;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d928a3bcf169c67c51a9006f6d29dc67.png)
①求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
②连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd17f1c6f82c15d141ef817a636af90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dac152e5e7d8f9549fbc04c1d42bbfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/332ff50725ece7eb1ac731431768289b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6556d1de4797ef7549a8d983f2da99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877260f1b1ff5dda376e1cefb9f5e9bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 如图,在平面直角坐标系中,直线
经过点
,与
轴正半轴交于
点,与反比例函数
交于点
,且
轴交反比例函数
于点
.
(1)求
的值;
(2)如图1,若点
为线段
上一点,设
的横坐标为
,过点
作
,交反比例函数
于点
.若
,求
的值.
(3)如图2,在(2)的条件下,连接
并延长,交
轴于点
,连接
,在直线
上方是否存在点
,使得
与
相似(不含全等)?若存在,请求出点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87aba319e62dd0fe1c2db30759a8ded7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d57173ef4cd72eb270686875dfd623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03517310ea1e913f709753592ac65ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e03375e9fa2a949058828f5a5ecce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03517310ea1e913f709753592ac65ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/8e09502e-c5ba-434f-bcf3-b16fb8f38112.png?resizew=477)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60a389234de46c9654804bada595264b.png)
(2)如图1,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d64d857c9e44dc69b19e1587e2aa677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03517310ea1e913f709753592ac65ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f72423bf19b975448fd2a0eb4b4cbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)如图2,在(2)的条件下,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4e5962cfb17195352c899ddcd1650f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0526c0ac1d69705e031d1dbf95dd5220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
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名校
4 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f5dcff385c13525569b79715c3eb75.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() |
D.当函数![]() |
您最近一年使用:0次
2024-03-03更新
|
961次组卷
|
14卷引用:四川省屏山县中学校2023-2024学年高二下学期第一次阶段性考试数学试题
四川省屏山县中学校2023-2024学年高二下学期第一次阶段性考试数学试题江苏省泰州市2023-2024学年高二上学期1月期末数学试题湖北省黄冈市黄梅县育才高级中学2023-2024学年高二下学期第二次月考(3月)数学试题(已下线)6.2.2 导数与函数的极值、最值(2知识点+6题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)河北省石家庄市第二中学西校区2023-2024学年高二下学期3月月考数学试题重庆市四川外国语大学附属外国语学校2023-2024学年高二下学期3月月考数学试题山东省济宁市第一中学2023-2024学年高二下学期质量检测(二)数学试题河北省承德市2023-2024学年高二下学期3月阶段性考试数学试卷山东省菏泽市定陶区第一中学2023-2024学年高二下学期第一次月考数学试题山东省临沂市第十九中学2023-2024学年高二下学期第二次质量调研考试数学试题福建省三明市第一中学2023-2024学年高二下学期期中考试数学试题黑龙江省大庆市实验中学实验二部2023-2024学年高三下学期得分训练数学试卷(二)(已下线)专题01 一元函数的导数及其应用-4(已下线)专题01 一元函数的导数及其应用-3
名校
解题方法
5 . 已知点
是圆
的动点,过
作
轴,
为垂足,且
,
,记动点
,
的轨迹分别为
,
.
(1)证明:
,
有相同的离心率;
(2)若直线
与曲线
交于
,
,与曲线
交于
,
,与圆
交于
,
,当
时,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8efd7b690113cfc851401e1540ac1132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb8f6c438fe1fc036c92ccd3fa8465d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5d3e8de22b4cadd3aacc6b955dbcd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b62adcc036ff4122e642b506d46c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6824ebd7ee7da0bed69bd761dbb762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.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/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.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/457e56d8aa132b2aad38ecf7e45f1cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34d2c05dd46ab2ac99d32be44a1465c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c3c6876c328f7d7a08515e78fdba136.png)
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2024-02-28更新
|
349次组卷
|
2卷引用:四川省绵阳市东辰学校2024届高三下学期第二学月考试数学(理科)试题
名校
6 . 已知函数
,
.
(1)讨论
的单调性.
(2)是否存在两个正整数
,
,使得当
时,
?若存在,求出所有满足条件的
,
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ad5bc5188a9fb2b43d1396b3bb5576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce2594833690eedb3328fe747feb3a3.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在两个正整数
![](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/2210f152080d9a68a97c805f5c1cde96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92dbbb602aaa87eab44420c47a57d32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
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2024-02-17更新
|
1090次组卷
|
6卷引用:四川省部分名校2023-2024学年高三上学期期末联合考试理科数学试题
7 . 已知椭圆
:
的左、右焦点分别为
,
,上顶点为
,
到直线
的距离为
,且
.
(1)求椭圆
的标准方程;
(2)过
的直线m与椭圆
交于
两点,过
且与m垂直的直线n与圆O:
交于C,D两点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e345142d3e746168664cf54edcd9b4d7.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a905c6fdf31080227d0f82a3080f3d4.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4503fcbaca90a4acc6a714bcbda9c8fa.png)
您最近一年使用:0次
名校
8 . 已知函数
,其中
是自然对数的底数.
(1)讨论
的单调性;
(2)若
,设关于
的不等式
对
恒成立时
的最大值为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2d12ea3cb8d44621eb3a33d003b3a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b8920b1f49f6c7adb341a41fd45398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594c23f6d93353b710cd47e2a9f55927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01b222cd9344fc3d180e80e34831aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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2024-02-04更新
|
616次组卷
|
2卷引用:四川省成都市石室中学2024届高三上学期期末数学(文)试题
名校
9 . 已知函数
,其中
是自然对数的底数.
(1)讨论
的单调性;
(2)若
,设关于
的不等式
对
恒成立时
的最大值为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2d12ea3cb8d44621eb3a33d003b3a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b8920b1f49f6c7adb341a41fd45398.png)
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2024-02-04更新
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516次组卷
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2卷引用:四川省成都市石室中学2024届高三上学期期末数学(理)试题
名校
解题方法
10 . 已知
,用
表示不超过
的最大整数.若函数
,函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bed8a0505d06c0404469d92dd1be71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bc65abc5ba0ee635b3e81fa4e22d3c.png)
A.函数![]() | B.函数![]() ![]() |
C.函数![]() ![]() | D.方程![]() |
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2024-01-26更新
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4卷引用:四川省内江市第二中学2023-2024学年高一下学期第一次月考数学试题
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