解题方法
1 . 已知抛物线
的焦点为
,其准线与
轴的交点为
.直线
与
没有公共点,直线
经过点
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2c731aaa4005382d5b4324e29fbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/6ed4c118054df599726d1351465645ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a388a8e291afb1c37d0faee69dee2a.png)
A.![]() | B.![]() ![]() |
C.以![]() ![]() | D.![]() ![]() |
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解题方法
2 . 半圆形量角器在第一象限内,且与
轴、
轴相切于
、
两点.设量角器直径
,圆心为
,点
为坐标系内一点.下列选项正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/29/49552981-aff2-45ae-b257-733481950124.png?resizew=154)
A.![]() ![]() | B.![]() |
C.![]() | D.若![]() ![]() |
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2卷引用:江苏省南京外国语学校2023-2024学年高三上学期10月阶段练习数学试题
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解题方法
3 . 已知O为坐标原点,点
,其中
为锐角,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf786a01afce319afa010b5a4f7e620e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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4 . 已知向量
,满足
的动点
的轨迹为
,经过点
的直线
与
有且只有一个公共点
,点
在圆
上,则
的最小值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3090783e0a6f5ef455736e136c2037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ff7e0ef1f622120cc1b18e9d3e80ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b2bb30137f92479d11827ee769f001.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbe851b6d4ea47349cf2f3525b8f797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
A.![]() | B.![]() |
C.![]() | D.1 |
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5 . 如图,在Rt△AOC中,
,圆O为单位圆.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/7/6dd6e01a-0e0b-4eea-8faf-fb8db76724b7.png?resizew=152)
(1)若点P在圆O上,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524f25e1eedbfe399f7f42db890ab89a.png)
______________
(2)若点P在△AOC与圆O的公共部分的
圆弧上运动,则
的取值范围为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600e2ef6a554bbdd6812870bc02a20a2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/7/6dd6e01a-0e0b-4eea-8faf-fb8db76724b7.png?resizew=152)
(1)若点P在圆O上,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a49c8aacea2efa4323c36b68241cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524f25e1eedbfe399f7f42db890ab89a.png)
(2)若点P在△AOC与圆O的公共部分的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7aaa871ceb78e5b80b531a7cf4f1c9.png)
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6 . 已知
是面积为
的等边三角形,四边形
是面积为2的正方形,其各顶点均位于
的内部及三边上,且可在
内任意旋转,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1954674261703d6c846f956520e90b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 如图所示,
,
,
,
是正弦函数
图象上四个点,且在
,
两点函数值最大,在
,
两点函数值最小,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c519bf0868d1889c5165c9378e78fb29.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/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c519bf0868d1889c5165c9378e78fb29.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/30/1915c2f8-d42a-4099-a153-2d00b60a58e4.png?resizew=206)
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8 . 在边长为
正六边形
中,
是线段
上一点,
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b340e437835c288e3c793c58c883eacd.png)
A.若![]() ![]() |
B.若向量![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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8卷引用:江苏省扬州市宝应中学2023-2024学年高一凌志班上学期9月月度纠错数学试题
江苏省扬州市宝应中学2023-2024学年高一凌志班上学期9月月度纠错数学试题江苏省部分学校(徐州市第七中学等)2023-2024学年高三上学期第一次联考数学试题(已下线)考向24 平面向量的基本定理及坐标表示(重点)(已下线)2023届高三第二次月考押题卷(测试范围:集合与常用逻辑用语、不等式、函数与导数、平面向量、三角函数与解三角形)黑龙江省哈尔滨市第九中学校2022-2023学年高三下学期开学测试数学试卷江苏省南通市通州高级中学2022-2023学年高三上学期第一次阶段性测试数学试题山西省运城市盐湖区运城市康杰中学2022-2023学年高一下学期第二次月考数学试题(已下线)2022届高三普通高等学校招生全国统一考试数学押题卷(六)