名校
解题方法
1 . 已知
,
均为锐角,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acaeb95c6058a242f0131946f4f005a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-29更新
|
709次组卷
|
12卷引用:江苏省南京师大附中2019-2020学年高一下学期期中数学试题
江苏省南京师大附中2019-2020学年高一下学期期中数学试题巩固练13 两角和与差的正切-2020年【衔接教材·暑假作业】新高二数学(人教版)江苏省扬州中学2020-2021学年高一下学期期中数学试题(已下线)5.5 三角恒等变换(精练)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第一册)(已下线)第五章 三角函数 专题3 三角函数的给值求角问题-2021-2022学年“高人一筹”之高一数学“痛点”大揭秘(人教A版2019必修第一册)江苏省南京市秦淮中学2021-2022学年高一下学期期中数学试题江苏省苏州市南京航空航天大学苏州附属中学2022-2023学年高一下学期6月月考数学试卷(已下线)【第一课】5.5.1课时2 两角和与差的正切公式(已下线)8.2.2 两角和与差的正弦、正切(2)-【帮课堂】(人教B版2019必修第三册)(已下线)模块一 专题4 三角恒等变换 讲 (苏教版)(已下线)专题02 三角恒等变换题型归纳-《期末真题分类汇编》(江苏专用)(已下线)专题03 恒等变形拆角归类(1) -期末考点大串讲(苏教版(2019))
2 . 如图,在
中,
于点
,
于点
,
为
边的中点,连接
、
、
,则下列结论:①若
,则
;②若
,则
;③若
,则
为等边三角形;④若
,则
.其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3f843b83e62bab294988a7ea134a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ffdf36ba9697d1fe3376a854c26c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55468740d16e56ab5107b9b90a44bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d35d8d8bb0dc17f2f86fe5b230a2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857f848e92a8e900d742cf90314b1ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c284ccb6f4ee7a8690013d2ce16e226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8fd793511c7f18df93baea6c2cc9df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/3a94ed2c-7357-4149-adaa-a76e976fa5f7.png?resizew=160)
A.①②③ | B.①③④ | C.①②④ | D.②③④ |
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3 . 如图入口进入,沿框内问题的正确判断方向,最后到达的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/b105ab4a-dcbd-4d5e-8cff-2a9791ee7e6f.png?resizew=582)
A.甲 | B.乙 | C.丙 | D.丁 |
您最近一年使用:0次
4 . 如图,在
轴上方,平行于
轴的直线与反比例函数
和
的图象分别交于
、
两点,连接
,过
点作
交
轴于
点,若平行四边形
的面积为12,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54cec401b13d837b0cc8040d15a7a37f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb79a1b0c6dc78e6de17de6bed477fb1.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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b0f2c0352a94898281927fa8cb7a26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a1640802834338873fda4650f2e621.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/5889f01c-561d-4161-ad6e-e2e529ed60d8.png?resizew=180)
A.12 | B.-12 | C.6 | D.-6 |
您最近一年使用:0次
5 . 如图,若
为正整数,则表示
的值的点落在( )
![](https://img.xkw.com/dksih/QBM/2023/10/14/3345962362314752/3347423293464576/STEM/8bec73e231534815b3281285f243d99a.png?resizew=230)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce54976bfbdfb618cc5e268b9a5be7ce.png)
![](https://img.xkw.com/dksih/QBM/2023/10/14/3345962362314752/3347423293464576/STEM/8bec73e231534815b3281285f243d99a.png?resizew=230)
A.段① | B.段② | C.段③ | D.段④ |
您最近一年使用:0次
6 . 一个容器盛满酒精,第一次倒出10升后,用水加满,第二次倒出6升后,再用水加满,这时容器内的酒精与水的体积之比为7:13,则这个容器的容积为( )
A.18升 | B.20升 | C.24升 | D.30升 |
您最近一年使用:0次
7 . 如图,用6个全等的三角形拼成一个内外都是正六边形的图形,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6877ef28e231e69cfbef3907d367743.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87f9586b708869fd7186e75a75c1dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26e32412868f3dcb5cad62c8a836778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6877ef28e231e69cfbef3907d367743.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/50c4a305-2880-4f88-8b44-94158ac18f52.png?resizew=161)
您最近一年使用:0次
8 . 如图①是一个小箱子
放在桌面
上的示意图,
这部分可弯曲,在弯曲时形成一段圆弧,设圆弧所在圆的圆心为
,线段
,
均与圆弧相切,点
,
分别为切点,小箱子盖面
与桌面
平行,此时
距离桌面14cm,已知
的长为10cm,
的长为25.2cm.
(1)如图①,求弧
的长度(结果保留
);
(2)如图②,若小箱子
打开后弧
所对的圆心角度数为60°,求小箱子顶端
到桌面
的距离
(结果保留一位小数).(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/d9f1366f-c781-4762-8475-04c959d2a53b.png?resizew=370)
(1)如图①,求弧
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(2)如图②,若小箱子
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
您最近一年使用:0次
9 . 某学校在大课间举行跳绳活动,为此学校准备购置长、中、短三种跳绳若干,要求中跳绳的条数是长跳绳的2倍,且短跳绳的条数不超过长跳绳的6倍.已知长跳绳单价是20元,中跳绳的单价是15元,短跳绳的单价是8元.
(1)若学校准备用不超过2300元的现金购买200条长、中、短跳绳,问学校有几种购买方案可供选择?
(2)若学校准备恰好用3000元的现金购买
条长、中、短跳绳,求
的最大值.
(1)若学校准备用不超过2300元的现金购买200条长、中、短跳绳,问学校有几种购买方案可供选择?
(2)若学校准备恰好用3000元的现金购买
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
10 . 如图,在平面直角坐标系
中,正方形
的顶点坐标分别为
、
、
、
,点
绕点
旋转180°得点
,点
绕点
旋转180°得点
,点
绕点
旋转180°得点
,点
绕点
旋转180°得点
,点
绕点
旋转180°得点
,重复操作依次得到点
,则点
的坐标为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3544997cc034ed882c0d0a3bdbf5f957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2f117dc9adcb8fa7acf25bd2cbf283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bdfbae913ff7ff8caaefcaacf8c20ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c10f14aae6fb21e047ecb39cdf40c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31238877eec10d1c04ddda5b2126457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3b8f9927fe9cb014fca5836648b8f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391d23b5ffaf0444a1d1a1550a0f3527.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/1d6bea33-8119-4ec2-9cf0-2c66daa90a59.png?resizew=160)
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