名校
1 . 如图,某登山队在山脚
处测得山顶
的仰角为
,沿倾斜角为
(其中
)的斜坡前进
后到达
处,休息后继续行驶
到达山顶
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/2186d8d6-a864-456d-8ee2-32d1fed60183.png?resizew=201)
(1)求山的高度
;
(2)现山顶处有一塔
.从
到
的登山途中,队员在点
处测得塔的视角为
.若点
处高度
为
,则
为何值时,视角
最大?
![](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/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef966cdd137b3b10e290201b4d17542e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182d9c47520230bfcd1b904453f435b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182d9c47520230bfcd1b904453f435b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/2186d8d6-a864-456d-8ee2-32d1fed60183.png?resizew=201)
(1)求山的高度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(2)现山顶处有一塔
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12326facedabc827d2edcdebc4706b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5774072cd93e875a45fa2cddee2779a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc957bc8976942915bd8d7b75b8e8bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2019-11-13更新
|
1267次组卷
|
3卷引用:江苏省南通市海安高级中学2019-2020学年高一下学期5月月考数学试题
名校
解题方法
2 . 某同学在画“切面圆柱体”(用与圆柱底面不平行的平面去截圆柱,底面与截面之间的部分叫做切面圆柱体)的过程中,发现“切面”是一个椭圆,若“切面”所在平面与底面成
角,则该椭圆的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-03-05更新
|
551次组卷
|
2卷引用:江苏省苏州市常熟中学2019-2020学年高二上学期12月月考数学试题
名校
解题方法
3 . 已知函数
,
.
(1)当
时,求函数
在
上的单调性;
(2)是否存在实数
,使得函数
在
上的最小值为3,若存在,求出
的值,若不存在,请说明理由;
(3)当
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8670b8c6c3d9d7b72094c98eb719be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c4236a438856166b1f1d1b954f7d01.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c84b49231d0344d0813a7bbd2acdaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725173c99b6fbb958cdab101569985dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221d40ea04298c5569cf8b2708972b11.png)
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名校
解题方法
4 . 已知数列
的各项均为正数,前
项和
满足
;数列
是等比数列,前
项和为
.
(1)求数列
的通项公式;
(2)已知等比数列
满足
,
,
,求数列
前
项和为
;
(3)若
,且等比数列
的公比
,若存在
,使得
,试求
的值.
![](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/12361a535a8a032271793d9e4af66e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0dd3fb6af23def773e1b0032a4f3c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9263a8a4d38e24f644f05ba367f1647b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dd8d1066b8414dea1eadb0639d0a878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fe0f4e8a80a2840c0f6929a8a6351b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d438267fddcd02afff8e73c6c3fec8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580c8c0887a5ac32dad0b897514721d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88d24ad2095fc75ff166ad46612409d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
5 . 已知抛物线
:
的焦点为
,准线为直线
,
、
、
三点均在抛物线
上且
过点
,
过点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/18248098-bbe3-4657-842c-a9e6757f6ea1.png?resizew=175)
(1)写出点
的坐标和直线
的方程;
(2)记
,
的面积分别为
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e0b4cce429003557b051ea0fa2f7de.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/18248098-bbe3-4657-842c-a9e6757f6ea1.png?resizew=175)
(1)写出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754b21397a7447766e490199d3afd6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884d40a97fd767e95f34f3b91ab8d84c.png)
您最近一年使用:0次
6 . 已知椭圆
:
的离心率为
,点
在椭圆上,
为坐标原点.
![](https://img.xkw.com/dksih/QBM/2020/3/3/2411550307958784/2412995247276032/STEM/811862db57ce4b288edfe2b6747afc8d.png?resizew=210)
(1)求椭圆
的标准方程;
(2)已知
、
为椭圆上不同的两点.①设线段
的中点为点
,证明:直线
、
的斜率之积为定值;②若
、
两点满足
,当
的面积最大时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d23fc512ad69a2d5919ce690407704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/2020/3/3/2411550307958784/2412995247276032/STEM/811862db57ce4b288edfe2b6747afc8d.png?resizew=210)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知
![](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/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.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/3f349d89e029746e0ca735c154636aa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8189f7b0ffe4d20bf0fad43b4ed589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
7 . 已知函数
.
(1)证明:函数
在
上有唯一零点;
(2)若
时,不等式
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc52b324027b32120af3f8dc795b0d93.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ff8dca35b759d3051b62badd7d76bc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91029148ad78d9cd3e7c26704b3c77b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76712b53d5a14318f55c84c230ebac3c.png)
您最近一年使用:0次
2020-03-05更新
|
445次组卷
|
3卷引用:江苏省南通市如皋中学2020-2021学年高二(创新班)上学期第一次阶段检测数学试题
名校
8 . 已知
,点
在直线
上,点
在圆
上,则
的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6274852e643a635e7340efa732edddc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168369ce9de586230d93f22a7276845a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5aa1ea16e5ba727bab26deedb4a83c0.png)
您最近一年使用:0次
2020-03-04更新
|
1298次组卷
|
5卷引用:江苏省苏州实验中学2021-2022学年高二10月份调研数学试题
江苏省苏州实验中学2021-2022学年高二10月份调研数学试题云南省玉溪市红塔区第一中学2019-2020学年高二上学期期末数学(文)试题(已下线)专题9.2 圆与方程(精练)-2021年高考数学(文)一轮复习学与练(已下线)2.4 圆的方程(精讲)-2021-2022学年高二数学一隅三反系列(人教A版2019选择性必修第一册)(已下线)第11讲 圆与圆的位置关系-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选择性必修第一册)
名校
9 . 在
中,已知
,
,
,
为线段
上的一点,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4412a34091f001919005100be0679e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebeaeecd25fe8eb20eba992535fbd3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96f3e2373808e8024a211b24c16519e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad64e3df2fca3c8737c1603e5b98de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-03-04更新
|
3835次组卷
|
13卷引用:2020届湖南省长沙市长郡中学高三上学期月考(四)数学(理)试题
2020届湖南省长沙市长郡中学高三上学期月考(四)数学(理)试题湖南省长沙市长郡中学2019-2020学年高三上学期第四次月考理科数学试题江苏省南通中学2022-2023学年高一下学期第一次月考数学试题(已下线)易错点06 平面向量-备战2021年新高考数学一轮复习易错题(已下线)考点15 平面向量的线性运算-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)河南省郑州市第四高级中学2022-2023学年高三上学期第二次调研考试文科数学试题山西省山西大学附属中学2021届高三下学期三月模块诊断理科数学试题辽宁省铁岭市六校协作体2021-2022学年高一下学期期末联考数学试题北京市西城区2023-2024学年高一上学期期末复习数学试题(三)(已下线)第一次月考选择题压轴题十四大题型专练-举一反三系列(已下线)专题4-2向量四心及补充定理综合归类-1(已下线)期中测试卷01--《重难点题型·高分突破》(人教A版2019必修第二册)四川省绵阳市绵阳中学2023届高三高考模拟理科数学试题(六)
名校
10 . 在边长为8正方形
中,点
为
的中点,
是
上一点,且
,若对于常数
,在正方形
的边上恰有
个不同的点
,使得
,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd982693d8c1e858606bf1daa480dd0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8卷引用:【全国百强校】江苏省扬州中学2019届高三下学期3月月考数学试题
【全国百强校】江苏省扬州中学2019届高三下学期3月月考数学试题2020届江苏省泰州中学高三上学期期中考试数学(理)试题2018年上海市格致中学三模数学试题(已下线)专题03 “三法”解决平面向量数量积问题(第二篇)-2020高考数学压轴题命题区间探究与突破黑龙江省双鸭山市第一中学2021-2022学年高一下学期第一次月考数学试题(已下线)专题26 活用隐圆的五种定义妙解压轴题-2(已下线)重难点突破02 活用隐圆的五种定义妙解压轴题(五大题型)(已下线)第八章 平面向量(知识归纳+题型突破)(1)-单元速记·巧练(沪教版2020必修第二册)