13-14高三下·上海虹口·阶段练习
名校
1 . 如图,正方形ABCD内接于圆
,M,N分别为边AB,BC的中点,已知点
,当正方形ABCD绕圆心O旋转时,
的取值范围是
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/6ac4fadf-c7ef-4bae-a61e-596e46155244.png?resizew=196)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b33328faae2d2d4921900e97424de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96499747e4aea990f4b878eea8d73ab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825ad0e1039d6f4b977ca0ac8a369d1c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/6ac4fadf-c7ef-4bae-a61e-596e46155244.png?resizew=196)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-01-11更新
|
1262次组卷
|
5卷引用:上海市建平中学2015届高三下学期4月月考数学试题
名校
2 . 已知函数
,如果存在给定的实数对
,使得
恒成立,则称
为“
函数”;
(1)判断函数
,
是否是“
函数”;
(2)若
是一个“
函数”,求出所有满足条件的有序实数对
;
(3)若定义域为
的函数
是“
函数”,且存在满足条件的有序实数对
和
,当
时,
的值域为
,求当
时
的值域;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00386d48a305ca42d0a391beb59b8a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da6f7c4470c8478d7c7cf1911fe375f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43539708e9663f5aa0b9336076936e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d635475f008b96b27dc4fe9b4c3238e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da6f7c4470c8478d7c7cf1911fe375f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13781c1c2bb22bf8a7d25d1e8479b4d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da6f7c4470c8478d7c7cf1911fe375f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
(3)若定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da6f7c4470c8478d7c7cf1911fe375f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c832f2474efe89961ef41e884da7660c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b2f2e52d293cd5c9dcdd5961ee96b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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15-16高三上·上海浦东新·阶段练习
名校
3 . 若
,满足
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733edf6de66013c6e6b8b3d2ec4034f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/786ac6d6ff3b2b7c0338b054383e2b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cadd04e37b0f8d97f3fbad69e9c93323.png)
A.0 | B.![]() | C.![]() | D.关于![]() |
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15-16高三上·上海浦东新·阶段练习
名校
4 . 方程
的解是____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee5e2116ba75a9030bb76af017e7217.png)
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15-16高二上·上海浦东新·期中
名校
5 . 对于向量
,把能够使得
取到最小值的点
称为
的“平衡点”.如图,矩形
的两条对角线相交于点
,延长
至
,使得
,联结
,分别交
于
两点.下列的结论中,正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/c435ac0b-3673-4c4c-94fa-e539a27a5a7d.png?resizew=190)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a56edad216aeb22b2d5cba7dfd4cb0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e22887f46e518331dcbd912a6a55ef3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee97c81587bdcf9158b37127923d3474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/ddc7897e3f49075943704f4dbef82e5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb9b29668bafeccf32ca33022e96d16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf33d73483c93f24cc6a1d76ef22ca6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/c435ac0b-3673-4c4c-94fa-e539a27a5a7d.png?resizew=190)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.![]() ![]() |
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6 . 在北纬
圈上有甲、乙两地,若它们在纬度圈上的弧长等于
(
为地球半径),则这两地间的球面距离为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed8cfc781ff1c936de13a1784baf5e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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2019-07-05更新
|
1435次组卷
|
8卷引用:2014-2015学年上海市金山中学高二下学期期中考试数学试卷
2014-2015学年上海市金山中学高二下学期期中考试数学试卷上海市浦东新区川沙中学2018-2019学年高二下学期期末数学试题上海市向明中学2018-2019学年高二下学期期末数学试题上海市上海大学附属中学2018-2019学年高二下学期第一次月考数学试题上海市七宝中学2015-2016学年高二下学期期末数学试题上海市理工附中等七校2016届高三下学期3月联考(文)数学试题上海市七校2016届高三下学期3月联考(文)数学试题(已下线)第01讲 角与弧度(教师版)-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第一册)
7 . 已知两动圆
和
(
),把它们的公共点的轨迹记为曲线
,若曲线
与
轴的正半轴的交点为
,且曲线
上的相异两点
满足:
.
(1)求曲线
的方程;
(2)若
的坐标为
,求直线
和
轴的交点
的坐标;
(3)证明直线
恒经过一定点,并求此定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd06e4324534a5bf676dd16502d51628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca514aee77eb5f64a124add2362022f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d71b28f2d6b07c5323a10c5195a49e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7625d648c8bd1c8d84cc044827e59638.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc8350b12974ffc8d06fce36d158f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(3)证明直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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8 . 如图,某污水处理厂要在一个矩形污水处理池
的池底水平铺设污水净化管道(
三条边,
是直角顶点)来处理污水,管道越长,污水净化效果越好.要求管道的接口
是
的中点,
分别落在线段
上,已知
米,
米,记
.
![](https://img.xkw.com/dksih/QBM/2019/7/10/2243854900830208/2244045082165248/STEM/ec26eba4b6db46f6a02cb29d369423c0.png?resizew=194)
(1)试将污水净化管道的总长度
(即
的周长)表示为
的函数,并求出定义域;
(2)问
取何值时,污水净化效果最好?并求出此时管道的总长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0b2549d5ebe6400159756f5e3cf441f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46c696ff5f123a482bae81cf9a1b570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4630b9ca3d20635161fa8fbf812b9128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e0723e7013e52f56898fb12772d0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d078be2629764d859902f7d026c0e54.png)
![](https://img.xkw.com/dksih/QBM/2019/7/10/2243854900830208/2244045082165248/STEM/ec26eba4b6db46f6a02cb29d369423c0.png?resizew=194)
(1)试将污水净化管道的总长度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0b2549d5ebe6400159756f5e3cf441f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2018-12-10更新
|
2736次组卷
|
19卷引用:2015届上海市普陀区高三三模调研理科数学试卷
2015届上海市普陀区高三三模调研理科数学试卷2015届上海市普陀区高三三模调研文科数学试卷上海市七宝中学2016届高三上学期期中(理科)数学试题上海市七宝中学2017-2018学年高一下学期期中数学试题2017年上海市七宝中学高考模拟数学试题上海市金山中学2015-2016学年高一下学期期中数学试题(已下线)第7章 三角函数(章节压轴题解题思路分析)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)【全国百强校】陕西省西安市高新一中2018-2019学年高二(上)期中数学试题(文科)【全国百强校】江苏省南京金陵中学2019届高三第一学期期中考试数学试题【全国百强校】江西省高安中学2019届高三上学期第四次月考(期中)考试数学(理)试题福建省莆田六中、四中2018-2019学年高一下学期期中数学试题第五章 三角函数 本章复习提升辽宁省六校协作体2020-2021学年高二上学期期初考试数学试题(已下线)第04讲 三角函数应用(教师版)-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第一册)辽宁省六校协作体2021-2022学年高一下学期期中考试数学试题四川省内江市资中县第二中学2021-2022学年高一下学期第一次月考试卷数学(理)试题湖北省黄冈市2022-2023学年高三上学期9月调研考试数学试题广东省广州市南武中学2023届高三上学期十月综合训练数学试题云南省昆明市第三中学2023届高三上学期11月月考数学学科能力测试试题
9 . 已知集合
,若对于任意
,存在
,使得
成立,则称集合
是“垂直对点集”.给出下列四个集合:
①
;②
;
③
;④
.
其中是“垂直对点集”的序号是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840bd73317f781e4b6ba65625a72f67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ec6481a31d338e905d607bc17fdd6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73ce10423e80cee0e7d602ca77d198d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da3ff6f17be99ec311610efa08ba002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209269ac65116bd5387f20865fb33ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dabdff0fb7d2fd0702082a9b4c6e38d.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1700ed1657244f815f2903369a3236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64a96aa3eba0a6b9779485d9dba9cc4.png)
其中是“垂直对点集”的序号是
A.①② | B.②③ | C.①④ | D.②④ |
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2017-10-13更新
|
1006次组卷
|
6卷引用:上海市十校2016届高三上学期第一次联考(理科)数学试题
10 . 某种波的传播是由曲线
来实现的,我们把函数解析式
称为“波”,把振幅都是A 的波称为“ A 类波”,把两个解析式相加称为波的叠加.
(1)已知“1 类波”中的两个波
与
叠加后仍是“1类波”,求
的值;
(2)在“
类波“中有一个波是
,从
类波中再找出两个不同的波(每两个波的初相
都不同),使得这三个不同的波叠加之后是平波,即叠加后是
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0245f4e7b1d2298f764f9fa93d69bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6d9ebaf9e77ea3fee87163c227cc16.png)
(1)已知“1 类波”中的两个波
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ce0d5d09043084a1267f1ce5884874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a068d0d2ffa1ac55c90cb9368b258e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7246625b6cb0b2bd4349ac89927d85.png)
(2)在“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/2015/7/9/1572172968321024/1572172974030848/STEM/08a7b68a51b745dfa2955603e119dc5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cada4595e617c68c84c8081c2f70dcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
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