名校
1 . 如图①,一台灯放置在水平桌面上,底座
与桌面垂直,底座高
,连杆
与
始终在同一平面内.
,使
成平角,
,求连杆端点D离桌面
的高度
.
(2)将图②中的连杆
再绕点C逆时针旋转
,如图③,此时连杆端点D离桌面
的高度减小了多少
?(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6850a299395c314b8f8f2f8ca50c9895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3bfe16159b02f542073330ae6595d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f34269920d413f3a36871d5fccca08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(2)将图②中的连杆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f25cd21af818ad98b6d9f023ba285f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d80f59513cecba9d55f53444ab7db3.png)
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2021-08-09更新
|
353次组卷
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11卷引用:吉林省长春市新区2019-2020学年九年级上学期期末数学试题
吉林省长春市新区2019-2020学年九年级上学期期末数学试题2019年湖北省黄冈市中考数学模拟试题2022年浙江省宁波市九年级下学期中考数学模拟试题(已下线)专题17 锐角三角函数及其应用-备战2022年中考数学母题题源解密(浙江专用)(已下线)考点16 锐角三角函数及其应用2021年江苏省扬州市广陵区树人学校中考数学一模试卷 2021年江苏省苏州市姑苏区景范中学中考二模数学试卷2021年河南省郑州市中考数学模拟试卷(三)(已下线)卷1-备战2022年中考数学【名校地市好题必刷】全真模拟卷(江苏苏州专用)·第二辑(已下线)第17讲 锐角三角函数的应用(4大考点)-2022-2023学年九年级数学考试满分全攻略(苏科版)2024年江苏省连云港市灌南县中考二模数学试题
名校
2 . 如图,在平行四边形ABCD中,点P是AB边上一点(不与A,B重合),CP=CD,过点P作PQ⊥CP,交AD边于点Q,连结CQ.
(1)若∠BPC=∠AQP,求证:四边形ABCD是矩形;
(2)在(1)的条件下,当AP=4.AD=12时,求AQ的长.
(1)若∠BPC=∠AQP,求证:四边形ABCD是矩形;
(2)在(1)的条件下,当AP=4.AD=12时,求AQ的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/d5393fb3-cea8-43e7-94bd-2d7427990497.png?resizew=144)
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2021-08-02更新
|
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6卷引用:广西玉林市玉州区2019-2020学年八年级下学期期末数学试题
广西玉林市玉州区2019-2020学年八年级下学期期末数学试题(已下线)第5章 特殊平行四边形(B卷·能力提升练)-【单元测试】2022-2023学年八年级数学下册分层训练AB卷(浙教版)江西省赣州市会昌县2020-2021学年八年级下学期期末数学试题吉林省实验中学2022-2023学年上学期九年级质量检测(一)数学试卷(9月考)广西壮族自治区贵港市覃塘区2022-2023学年八年级下学期期末数学试题(已下线)YHmlsjsxRJ858.pdf
名校
3 . 如图,平行四边形ABCD的对角线交于点O,以OD,CD为邻边作平行四边形DOEC,OE交BC于点F,连结BE.
(1)求证:F为BC中点;
(2)若OB⊥AC,OF=2,求平行四边形ABCD的周长.
(1)求证:F为BC中点;
(2)若OB⊥AC,OF=2,求平行四边形ABCD的周长.
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734285157687296/2768488903745536/STEM/2f0da133-c522-47c2-9e7c-2f14c7d65e96.png)
您最近一年使用:0次
2021-07-20更新
|
502次组卷
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7卷引用:浙江省宁波市镇海区2019-2020学年八年级下学期期末数学试题
真题
名校
4 . 随着科学技术的不断进步,无人机被广泛应用到实际生活中,小星利用无人机来测量广场
两点之间的距离.如图所示,小星站在广场的
处遥控无人机,无人机在
处距离地面的飞行高度是
,此时从无人机测得广场
处的俯角为
,他抬头仰视无人机时,仰角为
,若小星的身高
(点
在同一平面内).
![](https://img.xkw.com/dksih/QBM/2021/6/30/2754029897998336/2754645596512256/STEM/fc07e22e-afff-414f-8b63-444af21702ad.png)
(1)求仰角
的正弦值;
(2)求
两点之间的距离(结果精确到
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e62fbab0b46e6b56d4a6761bc12f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0be75f41c333a533e197da7f2ec5da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9566cc1638fc84f5d938ffa32b952d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0a375bf0d747f6f9abcf4963e88b6e.png)
![](https://img.xkw.com/dksih/QBM/2021/6/30/2754029897998336/2754645596512256/STEM/fc07e22e-afff-414f-8b63-444af21702ad.png)
(1)求仰角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6563eb699f1bbc39eced661a2ebfcce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77175384d53bd98431b55ecf314691bb.png)
您最近一年使用:0次
2021-07-01更新
|
2491次组卷
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20卷引用:2020年新疆乌鲁木齐市第四十四中学中考第一次模拟考试数学试题
2020年新疆乌鲁木齐市第四十四中学中考第一次模拟考试数学试题浙江省宁波前湾新区科学初级中学2022-2023学年九年级上学期期末数学试题浙江省宁波七中教育集团2022-2023学年九年级下学期第三次月考数学试题贵州省贵阳市2021年中考数学真题贵州省安顺市2021年中考数学真题云南省昆明市第一中学西山学校2021-2022学年九年级上学期第一次月考数学试题湖南省岳阳经济技术开发区2021-2022学年九年级上学期期末考试数学试题2022年山东省枣庄滕州市中考一模数学试题2022年山东省威海市中考模拟数学试题二湖南省岳阳市岳阳楼区2021-2022学年九年级上学期期末数学试题2022年湖南省岳阳市岳阳县初中学业水平考试模拟(一)数学试题2022年河南省方城县九年级中招模拟考试一(一模)数学试题2022年湖南省株洲市荷塘区景炎学校中考数学二模试卷内蒙古自治区通辽市霍林郭勒市第五中学2022-2023学年九年级下学期期中数学试题2023年吉林省松原市前郭县西部学区中考一模数学试题2023年甘肃省天水市清水县中考一模数学试题2023年吉林省松原市前郭尔罗斯蒙古族自治县松原市前郭县西部学区中考一模数学试题河南省南阳市镇平县侯集镇第二初级中学2022-2023学年九年级下学期2月月考数学试题2023年新疆维吾尔自治区九年级中考数学三模模拟试题2023年新疆中考数学三模试题
20-21八年级上·浙江·期末
5 . (1)设直线
和直线
(k是正整数)与x轴围成的三角形面积为
,则
的值为__________.
(2)如图,在等腰直角三角形
(
)内取一点D,且
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4879df8757cf53f343e5d495221fdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca12ccc2821acbb396d10c17e12e2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0a9523f2084cf17b8656c11ab1d95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4276a2dc546f6fbef0e9020275684b.png)
(2)如图,在等腰直角三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cade905a888773e9bb671197cbf975a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8d35402feac0a35b6be0b0b54b57e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444b88d2de0c2e06f5efae2578e3ef8d.png)
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734500845543424/2734554583384064/STEM/5fd00d30ce1e447dabb12b243bad814d.png?resizew=129)
您最近一年使用:0次
6 . 如图,
是直角坐标系y轴上一点,动点P从原点O出发,沿x轴正半轴运动,速度为每秒1个单位长度,以P为直角顶点在第一象限内作等腰
.设P点的运动时间为t秒.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/5ac61e0b-d003-4df8-99e7-94412b022772.png?resizew=200)
(1)若
轴,求t的值;
(2)设点A关于x轴的对称点为
,连接
,在点P运动的过程中,
的度数是否会发生变化,若不变,请求出
的度数,若改变,请说明理由.
(3)当
时,坐标平面内有一点M,使得以M、P、B为顶点的三角形和
全等(M与A不重合)请直接写出点M的坐标;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8c39de4d7d1277da346b51b5bd2499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3199c7b43bb8e46d578e6f3c95bb771.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/5ac61e0b-d003-4df8-99e7-94412b022772.png?resizew=200)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcb94c4a46f48f243f98768a5ee34a4.png)
(2)设点A关于x轴的对称点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e663220a66eff19da6a71e46b397db2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2413a24fe54b67654679152d497d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2413a24fe54b67654679152d497d03.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
您最近一年使用:0次
2021-06-02更新
|
353次组卷
|
4卷引用:【新东方】【2021.5.25】【NB】【初二上】【数学】【NB00012】
(已下线)【新东方】【2021.5.25】【NB】【初二上】【数学】【NB00012】四川省绵阳市江油市2018-2019学年八年级上学期期末数学试题(已下线)专题4.2 一次函数与几何图形综合问题(七大题型)-2022-2023学年八年级数学上册重难题型全归纳及技巧提升专项精练(北师大版)(已下线)专题19.3 一次函数与几何图形八大题型 专项讲练-2022-2023学年八年级数学下册重难题型全归纳及技巧提升专项精练(人教版)
20-21八年级上·浙江杭州·期末
解题方法
7 . 如图1,在
中,
为
的中点,连结
.过点
作射线
为射线
上一动点.
![](https://img.xkw.com/dksih/QBM/2021/6/1/2733772954304512/2733819566129152/STEM/b9c868ec-4927-49b0-9ce9-472fc70ef64f.png)
(1)求
的长和
的面积;
(2)如图2,连结
,在点
的运动过程中,若
为等腰三角形,求所有满足条件的
的长;
(3)如图3,连结
交
于点
,连结
,作点
关于
的对称点
,当点
恰好落在
的边上时,连结
,请直接写出
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6bb7eabb2ffa8802074b78e37d95dab.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9d572abf76b49740e70c319eb335b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://img.xkw.com/dksih/QBM/2021/6/1/2733772954304512/2733819566129152/STEM/b9c868ec-4927-49b0-9ce9-472fc70ef64f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
(2)如图2,连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53e7458c07146d8f16db37f820417ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96645a3530e72d5d733d2c72147d340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
(3)如图3,连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7856b843caf384fca612ce663f21c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7856b843caf384fca612ce663f21c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6936285f67bb81d2b1d9816c9d907904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7531489ae6f1a169b3acfc4f5d8e1b.png)
您最近一年使用:0次
20-21八年级上·浙江杭州·期末
8 . 如图,在
中,
是
边上的高,垂足为
,已知
上方有一动点
,且点
到
两点的距离相等,则
的周长最小值为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/44dce773e47aadb3c6e99f8a8c104f60.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/65436512ecbaefba4ac8123c55094211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357265c532428e886a643e8e653eec9e.png)
![](https://img.xkw.com/dksih/QBM/2021/6/1/2733772954304512/2733819566014464/STEM/6c078c34-d702-4e8f-8e97-8283e14a691d.png)
您最近一年使用:0次
19-20八年级上·浙江杭州·期中
9 . 如图,已知
,
,
,
,
,
,则
的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbb52f9b226b1db3f6f9f055948bd38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f21678a0009eb39b6886653d295b09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://img.xkw.com/dksih/QBM/2021/4/29/2710170030702592/2710499695992832/STEM/a01a66b473504ce99e07d90fa6a8abe5.png?resizew=159)
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19-20九年级下·浙江·期末
10 . 如图,四边形
内接于
,
,对角线
为
的直径,过点C作
的切线交
的延长线于点E,过点B作
,交边
于点H,G,F.
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714348364087296/2714503348977664/STEM/c165a65835e44f4d8e125edafbdb089a.png?resizew=216)
(1)求证:
.
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c220eadc312101e2fb89dfe920f7b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2a245381e615882ee5feb7793a1df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6835c19a6d58480f26751cc17c8efa9e.png)
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714348364087296/2714503348977664/STEM/c165a65835e44f4d8e125edafbdb089a.png?resizew=216)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142a94de8a7c2f8ce163664f9d473760.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f5dff88624c3fb8d4ff4dabcac8db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80853dbdcd65b4eef3556e1e691a1018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
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