解题方法
1 . 过点
可以向曲线
作
条切线,写出满足条件的一组有序实数对![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5e761af39bc1725915c3c9ee7febee.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c044bcf4b87cd1575198ab30c3a037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545ac68beedab0a5490f97c88437a317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5e761af39bc1725915c3c9ee7febee.png)
您最近一年使用:0次
2 . 已知点
在曲线
:
上,斜率为
的直线
与曲线
交于
,
两点,且
,
两点与点
不重合,有下列结论:
(1)曲线
有两个焦点,其坐标分别为
,
;
(2)将曲线
上所有点的横坐标扩大为原来的
倍(纵坐标不变),得到的曲线是一个圆;
(3)
面积的最大值为
;
(4)线段
长度的最大值为3.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1624ce2eee9487238b41c3c7e8ffc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43dc2f88602ce5febe38e6cea6dbc77b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b36a0866ec5fbb94e6cf4d61579e0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb374fd349306abf2f784b6a28d93a7.png)
(2)将曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(4)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
其中所有正确结论的序号是
您最近一年使用:0次
2022-05-10更新
|
2403次组卷
|
8卷引用:云南省昆明市第二十四中学2021~2022学年高二下学期期末统考数学模拟试题
云南省昆明市第二十四中学2021~2022学年高二下学期期末统考数学模拟试题四川省宜宾市2022届高三下学期第三次诊断测试数学(文)试题四川省宜宾市2022届高三下学期第三次诊断测试数学(理)试题(已下线)专题7 解决曲线的几何性质的运算(提升版)(已下线)专题23 圆锥曲线中的最值、范围问题 微点3 圆锥曲线中的最值、范围问题综合训练北京市第 八十中学2022-2023学年高二上学期期中考试数学试题吉林省通化市辉南县第六中学2022-2023学年高二上学期期中数学试题四川省成都市简阳市阳安中学2022-2023学年高二下学期期中考试数学(文)试题
名校
解题方法
3 . 如图,正方形纸片
的边长为
,在纸片上作正方形
,剪去阴影部分,再分别沿
的四边将剩余部分折起.若
、
、
、
四点恰好能重合于点
,得到正四棱锥
,则
体积的最大值为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a9eed64d225267a58cd001db67e2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29cd237b82286370acdf8d0277c0be28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29cd237b82286370acdf8d0277c0be28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6d1d99afa158b4ba4fc0dae562fcc1.png)
![](https://img.xkw.com/dksih/QBM/2022/3/28/2946061805494272/2946802715590656/STEM/d29d0f7e901847c0aafe4fe5d001f334.png?resizew=185)
您最近一年使用:0次
2022-03-29更新
|
655次组卷
|
6卷引用:云南省昆明市2022届高三”三诊一模“复习教学质量检测数学(理)试题
云南省昆明市2022届高三”三诊一模“复习教学质量检测数学(理)试题广东省广州市番禺中学2021-2022学年高二下学期期中数学试题四川省绵阳市南山中学2021-2022学年高二下学期6月月考数学(理)试题(已下线)期末押题预测卷02(范围:高考全部内容)-【单元测试】2022-2023学年高二数学分层训练AB卷(人教B版2019)陕西省安康市石泉县江南中学等校2022-2023学年高二下学期期中理科数学试题陕西省安康市2022-2023学年高二下学期期中理科数学试题
名校
4 . 如图,某城市公园内有一矩形空地
,
,现规划在边
上分别取点E,F,G,且满足
,在
内建造喷泉瀑布,在
内种植花卉,其余区域铺设草坪,并搭建栈道
作为观光路线(不考虑宽度),则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cdb52ea78c82889198c3c30b53d74d.png)
_______ 时,四边形
的面积S最小,此时![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52cc9a7c51d397cbeddaadb28d1054c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f169a7ad9db88242ce76ca4000606d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b5def3aed01669e1f695fc8562ff57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4373ab5214b0ef51c14c08f70b377a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e5e61804ce550636a0354e0a78a22d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cdb52ea78c82889198c3c30b53d74d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba007666deb89951641bd1e24bc174a2.png)
![](https://img.xkw.com/dksih/QBM/2022/2/22/2921731087040512/2938236482584576/STEM/2f86272c39ab460d8c984a66c4a6753c.png?resizew=158)
您最近一年使用:0次