名校
1 . 小明将一套斜边相等的三角板拼在一起,构成四边形
(如图1),其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6c64254d7fc695596dfb4206d610ab.png)
的长
(2)求
的值
(3)如图2,四边形
中,
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6c64254d7fc695596dfb4206d610ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc0f23e79770ac886bf6c4f5937d0dc.png)
(3)如图2,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c5b4a8729b03d974a83d53141a2938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc0f23e79770ac886bf6c4f5937d0dc.png)
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2 . 函数
的图象向右平移
(其中
)个单位得到曲线
,若
在
处的切线方程是
,则曲线
的一条对称轴方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a7adda5ecdb6245e9229bc047e7ca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb61a448347a3f8c1f126d1c00730cc0.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/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2f4a9558e7322268b0cac11c9d9739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
3 . 水车(如图1),又称孔明车,是我国最古老的农业灌溉工具,主要利用水流的动力灌溉农作物,是先人们在征服世界的过程中创造出来的高超劳动技艺,是珍贵的历史文化遗产,相传为汉灵帝时毕岚造出雏形,经三国时孔明改造完善后在蜀国推广使用,隋唐时广泛用于农业灌溉,有1700余年历史.下图2是一个水车的示意图,它的直径为
,其中心(即圆心)
距水面
.如果水车每
逆时针转
圈,在水车轮边缘上取一点
,我们知道在水车匀速转动时,
点距水面的高度
(单位:
)是一个变量,它是时间
(单位:
)的函数.为了方便,不妨从
点位于水车与水面交点
时开始记时
,则我们可以建立函数关系式
(其中
,
,
)来反映
随
变化的周期规律.下面关于函数
的描述,正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/3083e734-19c7-4bfa-ab45-01f5245ad17d.png?resizew=400)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b51b654efcff60d2d640b9b4c4471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1dd6206b1ce3ffdc79a4074ee5a62e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c39a90e0b34f130f6023035d7fed1ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.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/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67002200d802e4239eaa643828d7c788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2b779eea543887e3eff3375ccf51bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248dba78ba95c72cbfbd2458c0631ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fecc65b2bfb207896ef00c42334caaf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/3083e734-19c7-4bfa-ab45-01f5245ad17d.png?resizew=400)
A.最小正周期为![]() |
B.一个单调递减区间为![]() |
C.![]() ![]() |
D.图像的一条对称轴方程为![]() |
您最近一年使用:0次
2021-08-27更新
|
572次组卷
|
4卷引用:贵州省贵阳市2022届高三摸底考试试卷数学(文)试题
贵州省贵阳市2022届高三摸底考试试卷数学(文)试题贵州省贵阳市2022届高三摸底考试试卷数学(理)试题(已下线)突破5.7 三角函数的应用(课时训练)-【新教材优创】突破满分数学之2022-2023学年高一数学重难点突破+课时训练 (人教A版2019必修第一册)安徽省滁州市定远县民族中学2021-2022学年高三9月教学质量检测数学(文)试题
解题方法
4 . 如图所示为某学校的轮廓图,
,其中
为教学区,
,墙
长240米,
为校门区域,其中
,若要美化校门区域,决定在墙
与
上装饰高档墙贴,若已知该高档墙贴仅与墙的长度有关,则
( )时,美化墙体造价最低(其中
)
![](https://img.xkw.com/dksih/QBM/2022/7/28/3032426306166784/3033121599275008/STEM/94bc3cb27a27499ebfb8074331fd18e4.png?resizew=205)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b94651d11df3a469d7ac72e6ac74c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06aa91c5d3dc4e9791d4723aa2a345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6fc8321c3d03abb248cec13cf863c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4397f6e86c69e6b597e7e8635afbfb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b9851ce8fc3f98f26f491d05548f8f.png)
![](https://img.xkw.com/dksih/QBM/2022/7/28/3032426306166784/3033121599275008/STEM/94bc3cb27a27499ebfb8074331fd18e4.png?resizew=205)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知函数
,有如下四个结论:
①函数
的图象关于点
对称;
②函数
的图象的一条对称轴为
;
③
,都有
,则
的最小值为
;
④
,使得
,则
的最大值为
.
其中所有正确结论的编号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc08231f91064d4ece32bb3aec98887.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf764eb38d3c8508fe5c4e19633280c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6461468072bd27afd53fd5f9c3bf344.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f49d25be33228bc563d9069997147f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c7a319f1fb9ef4cd6bd9eb5ab0c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710f135be44214b962d0936bfcda631e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
其中所有正确结论的编号是( )
A.①② | B.①③ | C.①④ | D.②③ |
您最近一年使用:0次
名校
解题方法
6 . 三角测量法是在地面上选定一系列的点,并构成相互连接的三角形,由已知的点观察各方向的水平角,再测定起始边长,以此边长为基线,即可推算各点坐标的一种测量方法.在实际测量中遇到高大障碍物的测量,需要跨越时的测量,无法得到平距的测量都需要用到三角测量法.如图,为测量横截面为直角三角形的某模型的平面图△ABC,由于实际情况,Rt△ABC(∠ACB=
)的边和角无法测量,以下为可测量数据:①BD=2;②CD=
+1;③∠BDC=
;④∠BCD=
.以上可测量数据中至少需要几个可以推算出Rt△ABC的面积?请选择一组并写出推算过程.注:若选择不同的组合分别作答,则按第一个作答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/ab52d491-b3b7-46f5-9e1b-f6bf266ab78b.png?resizew=198)
您最近一年使用:0次
2021-09-24更新
|
523次组卷
|
4卷引用:贵州省部分重点中学2022届高三8月联考试题数学(理)试题
名校
7 . 设函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/776c6bf310777afe3422a949d1ec89b5.png)
A.![]() ![]() |
B.![]() ![]() |
C.对![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
2022-09-29更新
|
305次组卷
|
2卷引用:贵州省新高考协作体2022-2023学年高二上学期入学质量检测数学试题
8 . 贵阳市黔灵公园熊猫馆平面设计如图所示,其中区域
为熊猫生活区,
,
,区域
为熊猫娱乐区,
.现为了游客的安全起见,将熊猫娱乐区周围筑起护栏.
![](https://img.xkw.com/dksih/QBM/2022/6/14/3001165962977280/3004155470012416/STEM/a016483941c14c87a4371bfd27f2d5b8.png?resizew=181)
(1)若
,求护栏的长度(
的周长);
(2)设
,当
取何值时,熊猫娱乐区
面积最小?最小面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597601cb00ba7cc26022b158390ced9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa1466856bf2570685d3629c1f813748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45723dce96b74f027adcb1a4ecd19db8.png)
![](https://img.xkw.com/dksih/QBM/2022/6/14/3001165962977280/3004155470012416/STEM/a016483941c14c87a4371bfd27f2d5b8.png?resizew=181)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d399eef6eee6ce110d4abf939c742297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d2a7224c0bfb1e460408991c568e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
您最近一年使用:0次
9 . 现有底面半径为8,高为6的圆锥,过该圆锥的任意两条母线所得的截面三角形的面积的最大值是( )
A.48 | B.50 | C.96 | D.100 |
您最近一年使用:0次
10 . 魏晋时期的刘徽在其所撰《海岛算经》中,运用二次测望法解决实际测量问题,是世界测量学上取得的伟大成就.某数学学习小组受《海岛算经》中“望山松”一题的启发,进行了如下测量实践活动:如图,为测量山顶松树的高
,在山底
所在水平面内,选择
、
两点,使
、
、
三点在同一直线上,在
点测得
点和
点的仰角分别为60°、45°,在
点测得
点的仰角为30°,测得基线
的长为100米.由以上测量数据可得出:①松树的高![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ 米(精确到0.1);②
和
分别是人在
点和
点观测松树的视角,其大小关系为:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868ff1350bd72625328c85c3097cd85e.png)
______
(填“>”,“<”或“=”).(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/2a30f3a8b673cc28bd90c50cf1a35281.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868ff1350bd72625328c85c3097cd85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a55a1a244f81097e05e715b69580faa.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/868ff1350bd72625328c85c3097cd85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a55a1a244f81097e05e715b69580faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52881be613aa404e553da30d8987cfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/17/9ce1698a-e5ac-454f-af53-aa3749b90a6f.png?resizew=229)
您最近一年使用:0次