名校
解题方法
1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185598c127a98e3d7d4a17a8950be08a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5753fa31b83a4dd81d65b50dd49ed6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185598c127a98e3d7d4a17a8950be08a.png)
您最近一年使用:0次
2024-04-11更新
|
512次组卷
|
7卷引用:青海省海东市第一中学2023-2024学年高二上学期期中考试数学试题
名校
2 . 阿波罗尼斯是古希腊著名数学家,与阿基米德、欧几里得并称为亚历山大时期数学三巨匠,他研究发现:如果一个动点
到两个定点的距离之比为常数
(
,且
),那么点
的轨迹为圆,这就是著名的阿波罗尼斯圆.若点
到
,
的距离比为
,则点
到直线
:
的距离的最大值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472393b18c7880e73b40e31fbe2d951c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c77a42750684cb6157c2c7fb9422a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76218cf7a5779168198df12edafa276a.png)
您最近一年使用:0次
2024-06-11更新
|
43次组卷
|
2卷引用:青海省海东市第一中学2023-2024学年高二上学期期中考试数学试题
3 . 已知
,
,则
最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a805f4d3f96259b88da720f73f211e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1545332f6fede665a188fcbdb333b0b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b993e97d94017a4e9c5be3056ff9ecc.png)
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名校
4 . 如图,在正四棱柱
中,
,
,点
,
分别为
,
的中点,则二面角
的大小为______ ;三棱锥
的外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db57eca2a7cbd91bc57372592580a76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7be2f695260a14809dec7d84dfd6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580be22c91b2343e7933f8b1d925fc52.png)
您最近一年使用:0次
解题方法
5 . 若函数
的值域为
,则a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2916774babc651d422454260034d7cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
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解题方法
6 . 设
满足约束条件
则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228a12ba9bd1af2d28f879d73f685b97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a125cb40ab3d54de9f3a444032af5e4.png)
您最近一年使用:0次
解题方法
7 . 如图,直径
的半圆,
为圆心,点
在半圆弧上,
为
的中点,
与
相交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8cf2c180edcb0dcc32bbb0b8776cc2.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9044baf40c4b0fcd4961b35af8a073c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.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/ee8cf2c180edcb0dcc32bbb0b8776cc2.png)
![](https://img.xkw.com/dksih/QBM/2024/1/2/3402663843733504/3403066499997696/STEM/2884fe71d1504029bef0165f6fc47762.png?resizew=217)
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2024-01-11更新
|
219次组卷
|
2卷引用:青海省2024届高三上学期协作联考数学(理科)试题
解题方法
8 . 已知圆锥的侧面积为
,且圆锥的侧面展开图恰好为半圆,则该圆锥外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d80f16c3278cd252725625dcf253cda.png)
您最近一年使用:0次
解题方法
9 . 已知双曲线
的右焦点为
,直线
与
相交于
两点,若
(
为坐标原点),则
的离心率为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5675ea6e0ce5d12ff47274edb2c2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3798d2a605e06c71d9455b338d03ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2023-12-28更新
|
474次组卷
|
3卷引用:青海、宁夏部分名校2024届高三上学期调研考试文科数学试题
解题方法
10 . 在
中,
,
,若以
、
为焦点的椭圆经过点
,则椭圆的离心率为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b6baa67ccc51d18f82bbd032eff17aa.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)
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