1 . 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)
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2 . 在某次军事演习中红方为了准确分析战场形势,在两个相距为
的军事基地
和
,测得蓝方两支精锐部队分别在
处和
处,且
,
,
,
,如图所示,求蓝方这两支精锐部队的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd988e1c7fcd3cc8526722fede422bc.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9228b213dc6b256b752b38a466ebec93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc849980579cd8b0560d76ba78331ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6930edd7879bcf27c4d279dc66553893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27e47690ed332c573186992b6d25654.png)
![](https://img.xkw.com/dksih/QBM/2020/3/2/2410892929900544/2412977679204352/STEM/1d4f384d-88a0-4111-81ee-850f3bfec871.png)
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2020-03-05更新
|
216次组卷
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4卷引用:广西柳州市民族高中2021-2022学年高一下学期3月月考数学试题
广西柳州市民族高中2021-2022学年高一下学期3月月考数学试题甘肃省永昌县第一高级中学2022-2023学年高一下学期第一次月考数学试题河南省郑州市第一中学2019-2020学年高二上学期入学测试数学试题(已下线)第03讲 正弦定理、余弦定理的应用-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第二册)
名校
3 . 已知函数
,
.
(1)求函数
的最小正周期;
(2)求函数
的单调递增区间;
(3)若把
向右平移
个单位得到函数
,求
在区间
上的最小值和最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fadbe821a59032b9887f53ce70c704e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff17369a69a31422109bc7d7986b42c2.png)
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2020-03-05更新
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412次组卷
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2卷引用:四川省绵阳市三台中学实验学校2019-2020学年高一上学期12月月考数学试题
名校
4 . 三台县某蔬菜基地种植西红柿,由历年市场行情得知,从二月一日起的
天内,西红柿市场售价与上市时间的关系为
;西红柿的种植成本与上市时间的关系为
.认定市场售价减去种植成本为纯收益,问何时上市的西红柿纯收益最大?最大收益是多少?(注:市场售价各种植成本的单位:元/
,时间单位:天)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b685c556cc423e4833c1dc671a134cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1255dd20404497518add952a2ad82a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea7b2b2a776af0a215a44514776cc34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a6e37e9bd5b83c06410a121ef79320.png)
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2020-03-05更新
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146次组卷
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2卷引用:四川省绵阳市三台中学实验学校2019-2020学年高一上学期9月月考数学试题
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5 . 如图所示,
为山脚两侧共线的三点,计划沿直线
开通穿山隧道.为求出隧道
的长度,在山顶
处测得三点的俯角分别为
;测得
.用以上数据(或其中的部分数据)表示隧道
长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953cefc60d990e4978f144d70005efc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/6e170e8f-3ded-4f18-94e4-297e69f95073.png?resizew=355)
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6 . 设
均为正数,且
.
(1)证明:
;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4ce85547266d66174062f1700fe1e2.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ee79d588c459ae4ca749e7b12d844b.png)
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解题方法
7 . 已知椭圆
经过两点
.
(1)求椭圆
的方程.
(2)已知点
,直线
过点
并且与
相交于
、
两点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd486b8796b3454eab219c28ed131683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbd1f759ef7ff28bb0d422be076ac52.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cb16438684d3eaac8eaf480bb7b38a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.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/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
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8 . 已知函数
.
(1)当
时,求
的极值;
(2)讨论
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ae37a658b8bf085021a4f15d396e1f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8e1dd8da540badcb9a8f427c5b202e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
9 . 若集合
,
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab32d5c9be04a04909b1e8f745cfa2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6deb420e37b7ca7334fb74ddb899119c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-03-04更新
|
494次组卷
|
5卷引用:江西省新余市第一中学2019-2020学年高一上学期第一次段考数学试题
江西省新余市第一中学2019-2020学年高一上学期第一次段考数学试题江西省南昌市第三中学2020-2021学年度高一10月份月考数学试题(已下线)【南昌新东方】 江西省南昌三中2020-2021学年高一上学期10月第一次月考数学试题江苏省徐州市王杰中学2021-2022学年高一10月阶段性测试数学试题(已下线)考点01 集合(考点)-备战2021年新高考数学一轮复习考点微专题
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10 . 在平面直角坐标系
中,已知直线
(
为参数),以坐标原点为极点,
轴的非负半轴为极轴建立极坐标系.点
在曲线
上运动,点
为线段
的中点.
(1)求动点
的运动轨迹
的参数方程;
(2)若直线
与
的公共点分别为
,当
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d430b5c4c3a4d1c8e55550ae2efe5237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/8cb32336a07bdea17b0c634a56337fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c7d3d89b684b78bd1c216ddd2e070b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-03-04更新
|
842次组卷
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6卷引用:重庆市第一中学校2019届高三下学期第四次月考(理)数学试题