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1 . 如图所示,在四边形
中,
,
,在
、
分别找一个点
、
,使
的周长最小,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1939f6a87228b730a32d996014ff3bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73684ef04ef67bc31f52fb5f841a6423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79a7ef38e3119d1f151deadf617ec94.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/b34ab214-6fef-4b6d-8ba3-4a222021fc51.png?resizew=141)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 小明在练习操控航拍无人机,该型号无人机在上升和下落时的速度相同,设无人机的飞行高度为
(米),小明操控无人飞机的时间为
(分),
与
之间的函数图象如图所示. 以下结论:①无人机从40米上升到60米用时1分钟;②无人机在40米的高度上飞行了3分钟;③无人机距地面的高度为50米时
的值为5.5;④无人机从60米的高度返回地面用时3分钟.其中结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/41b418e3-b947-47fc-8ab3-3fc4eb049bbd.png?resizew=171)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/41b418e3-b947-47fc-8ab3-3fc4eb049bbd.png?resizew=171)
A.4 | B.3 | C.2 | D.1 |
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3 . 如图,
中,
,
,
绕点
逆时针旋转
得到
,
与
,
分别交于点
,
.设
,
的面积为
,则
与
的函数图象大致( )
![](https://img.xkw.com/dksih/QBM/2024/2/4/3425681623695360/3426131836395520/STEM/ba782348dd56404a8e0d4de225cb4db9.png?resizew=136)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0769bbeb13bd66ee39f530417be0f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2eb0de024a6f3f65e94e87f2dce80c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c021993da445858448d368df42554c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e737bc35da650eda3825d29799b5f86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/1613815aa66f130f02405617022548be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff58d298aecfc45f81c62bb4e70a768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2024/2/4/3425681623695360/3426131836395520/STEM/ba782348dd56404a8e0d4de225cb4db9.png?resizew=136)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知
是
的直径,
是
上一点且
,
是弧
的中点,
,
,垂足分别是
.下列结论:①
;②
;③
四点在同一个圆上;④
,其中结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/66011999-d373-4672-8349-cbe2a0312b77.png?resizew=155)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15301873a51b67db462f4d78b8bffc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4611ceb2a28f7a7e4d24266d7f99b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ff7bf8ffc8a04186e3e13c1a6d5ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf857e03d4320c999d328fd657c2d412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f4a6920a0dc269d5d1781e87fe84f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9958e740f5475010ef2dc6ba71cb75e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41b4cccc4ae6b5c1aef8e9b9d717cfc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/66011999-d373-4672-8349-cbe2a0312b77.png?resizew=155)
A.4 | B.3 | C.2 | D.1 |
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5 . 某广场有一喷水池,水从地面喷出,如图,以水平面为
轴,出水点为原点,建立平面直角坐标系,水在空中划出的曲线是抛物线
(单位:米)的一部分,则水喷出的最大高度是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/6e38f1a6-cbe6-4e7e-a11c-314c0c26e4b0.png?resizew=159)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572f286fb45b2757af63569ae0bc2e99.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/6e38f1a6-cbe6-4e7e-a11c-314c0c26e4b0.png?resizew=159)
A.4米 | B.3米 | C.2米 | D.1米 |
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6 . 如图是杭州第19届亚运会的会徽“潮涌”,将其视为一扇面
,若
的长为
的长为
,则扇面
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927c859db07bdbe0c2d0b11525acde5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f16a0f4c6b76b91f835293d2b6e116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/61163d7f-c92a-4c0a-a0ac-80584daa83b3.jpg?resizew=109)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/b8ad2628-6a4f-4f64-ab42-023b4f188516.png?resizew=172)
A.190 | B.192 | C.380 | D.384 |
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5卷引用:湖北省咸宁市崇阳县第二高级中学2023-2024学年高一下学期寒假检测数学试题
湖北省咸宁市崇阳县第二高级中学2023-2024学年高一下学期寒假检测数学试题安徽省阜阳市2023-2024学年高一上学期期末联考数学试卷河南省名校联盟2023-2024学年高一上学期期末数学试题(已下线)1.8 三角函数的简单应用4种常见考法归类-【帮课堂】(北师大版2019必修第二册)广东省茂名市高州市第一中学2023-2024学年高一下学期开学考试数学试题
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解题方法
7 . 随着疫情结束,自行车市场逐渐回暖,通过调查,收集了5家商家对某个品牌的自行车的售价
(百元)和月销售量
(百辆)之间的一组数据,如下表所示:
根据计算可得
与
的经验回归方程是:
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
价格![]() | 9.6 | 9.9 | 10 | 10.2 | 10.3 |
销售![]() | 10.2 | 9.3 | ![]() | 8.4 | 8.0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6350f77bc5a2f3a93c575fefbeedae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.8.8 | B.8.9 | C.9 | D.9.1 |
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5卷引用:湖北省咸宁市2022-2023学年高二下学期期末数学试题
湖北省咸宁市2022-2023学年高二下学期期末数学试题湖南省五市十校教研教改共同体、三湘名校教育联盟、湖湘名校教育联合体2022-2023学年高二下学期7月期末联考数学试题吉林省长春市十一高中2022-2023学年高二下学期期末数学试题(已下线)专题05 成对数据的统计分析(5大考点经典基础练+优选提升练)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(新高考专用)江苏省无锡市江阴市两校联考2023-2024学年高二下学期5月阶段性练习数学试题
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8 . 已知集合
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4619dfeeec373d66511967ba6c065363.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3卷引用:湖北省咸宁市2022-2023学年高一下学期期末数学试题
9 . 为建设宜居之城,某市决定每年按当年年初住房总面积的
建设新住房,同时拆除面积为
单位:
的旧住房
已知该市
年初拥有居民住房的总面积为
单位:
,则到
年末,该市住房总面积为( )
参考数据:
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80df356f08b7b6d8d0150a09fe556a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb87b1f8c5360629d063192eadb8230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fcd466d77f6ea9abc878dd54c685e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3ed358994bd5f094bde79d5e4e1224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d01dd350dc95f42f1883e0cc7aae084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08682f09d756bc704d30ee457a37ce14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3ed358994bd5f094bde79d5e4e1224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf9123c858a96fd6a2e5ecf7581e6de.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9f7cd5be38255e31f547fa15845ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80df356f08b7b6d8d0150a09fe556a7a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3卷引用:湖北省咸宁市2022-2023学年高二上学期期末数学试题
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10 . 若将有限集合
的元素个数记为
,对于集合
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db60e5bbf9b7ccd9bcfa25b13901dc9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397021f76cfe9b90b2289a676ccad9f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58cd156f49a278d4805dab97f14b948.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() |
D.存在实数![]() ![]() |
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6卷引用:湖北省咸宁市崇阳县第二高级中学2023-2024学年高一上学期12月摸底考试数学试题