名校
1 . 下列说法中正确的是( )
A.对于定义在实数![]() ![]() ![]() ![]() |
B.函数![]() ![]() ![]() |
C.函数![]() |
D.角![]() ![]() ![]() |
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2023-08-01更新
|
465次组卷
|
4卷引用:第07讲 5.4.3正切函数的性质与图象-【帮课堂】
2 . 如图,在平面直角坐标系中,圆O与x轴的正半轴相交于点
,过点
,作x轴的平行线与圆O相交于不同的B,C两点,且B点在C点左侧,设
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6ff81aedbefa935da289dc632e78eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2331e76ffa320d9879ec07c634276bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe197f95a36f68ee80f69ff5f4a26970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708d0e76f524d0e8a48db01392faac8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/3/7467680a-4cd5-4aac-9375-38ba9f5b014f.png?resizew=271)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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2023高三·全国·专题练习
解题方法
3 . 四边形
为椭圆
的外切四边形,
为切点,求证:
(1)
共点;
(2)
共点;
(3)
共点.
![](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/e1500349ab7946be2ddad4e46e9a1b44.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/17/eaa013e4-9add-4461-a7e7-3149e3ae8180.png?resizew=219)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b170ff99ee43a2fe231edbe9d1f19f6c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dea348c9dcb46933c6728556bfb3e16.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348def14c1fe15c26323a6a723e9f0e1.png)
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名校
解题方法
4 . 已知质点从
开始,沿以原点为圆心,2为半径的圆作匀速圆周运动,质点运动的角速度为ω弧度/秒(
),经过x秒,质点运动到点P,设点P的纵坐标为y,令
,将
的图象向左平移2个单位长度后图象关于y轴对称.
(1)求函数
的解析式;
(2)求函数
的单调递减区间及
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7453cea0509492e13ea54f1ee273bec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746f59e58b18a2020c17d926df7f2d27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fab11f38ab8593932082ec4d9c8c91f.png)
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2023-07-28更新
|
195次组卷
|
3卷引用:第12讲 5.7三角函数的应用-【帮课堂】
5 . 在
中,
,
,若D是AB的中点
,则
;若D是AB的一个三等分点
,则
;若D是AB的一个四等分点
,则
.
(1)如图①,若
,用
,
表示
,你能得出什么结论?并加以证明.
(2)如图②,若
,
,AM与BN交于O,过O点的直线l与CA,CB分别交于点P,Q.
①利用(1)的结论,用
,
表示
;
②设
,
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e923e4cdcbea6a029f5ba188a59229d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb95d089784702a0b6d459f18a4e1e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0997b1534ce4817fdc86c4b6c75db29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2634228ecbd45ba775dca73eaf1cc63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bdd1229d9e121bc3bdb2339e76f3e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda838437dab97586710b6220ee74dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075e483c30716072375e7db13e84ad07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1030db2fcd7b8f3f0eae7eb063fb7cba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/28/1e3da6d3-e471-4d60-901e-c428805cbbdb.png?resizew=379)
(1)如图①,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b83647557c93d7f7e9ceee524601a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1070a28cb9cb8553c29747d1993b16.png)
(2)如图②,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5388f2e85a72e2414928ff69e0fd13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1cd8790d5f3cc008befd52e46f42001.png)
①利用(1)的结论,用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0260317a23090e4a019f76ae08614f5.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c85b08638081ff0c9651e4ca5792669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e8454ef2c08a243be83057c34de2f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7e12253044b5abff2a56dcd730ced8.png)
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6 . 已知角的集合
,则在
内的角有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f819d50fff01ac6c513b84ce7e82ffe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a531b9769bfba66a10139b153f09307c.png)
A.2个 | B.3个 | C.4个 | D.5个 |
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名校
7 . 在平行四边形
中,点
为边
中点,点
为边
上靠近点
的三等分点,连接
,
交于点
,连接
,点
为
上靠近点
的三等分点,记
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184359fe3cadc363cf4ebe586c2b3db4.png)
A.点![]() ![]() ![]() |
B.若![]() ![]() |
C.![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
2023-07-21更新
|
948次组卷
|
6卷引用:第二节 平面向量基本定理及坐标表示 A素养养成卷
(已下线)第二节 平面向量基本定理及坐标表示 A素养养成卷(已下线)第一次月考选择题压轴题十四大题型专练-举一反三系列(已下线)高一下学期期末复习选择题压轴题二十三大题型专练(1)-举一反三系列(人教A版2019必修第二册)江西省景德镇一中2022-2023学年高一下学期期末考试数学试题(已下线)专题05 平面向量基本定理-《重难点题型·高分突破》(苏教版2019必修第二册)(已下线)专题01 平面向量-《期末真题分类汇编》(人教A版2019必修第二册)
解题方法
8 . 已知半圆的直径
为圆心,圆周上有两动点
满足
.设弦
与弦
的长度之和
与
的关系为
,则
最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c68d224b40ce5498a11029d867d0b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a8f4b5bcc944683165588ae7fbfbcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8111b51754b9b448995098efecee98f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
A.3 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-07-17更新
|
328次组卷
|
3卷引用:模块四 专题6 暑期结束综合检测6(能力卷)(人教B)
9 . 已知函数
在
上单调,而函数
有最大值1,则下列数值可作为
取值的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f248d54aad38a6d53ca10523bcffd29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b960323bac73b2e8dffbb37e7c2d60f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a83d94a47a688b34ab5ac57e6e4b83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.1 | D.2 |
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解题方法
10 . 已知向量
,
,其中
.
(1)若
,写出
,
,
,
之间应满足的关系式
(2)求证:
;
(3)求代数式
的最大值,并求其取得最大值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300b10194024b776bc5985a76c4021a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b39fbfa2a3a5e3715e3a5855334e143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b398c3c2ffc0b9a08211fcacc87fa7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f709a55cf756727bc6811bc239718281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c184edd63472d8ddf96e5f815515d929.png)
(3)求代数式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048e10bf2ade5fd58144d6b952cdd717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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