1 . 如图,已知,等边三角形
的边长是
,
是边
上的一个动点(与点
、
不重合),连接
,作
的垂直平分线分别与边
、
交于点
、
.
![](https://img.xkw.com/dksih/QBM/2023/2/23/3181008029065216/3187104858374144/STEM/0fb2a1edd9024a2f85da74236925d652.png?resizew=548)
(1)
和
的周长之和为______;
(2)设
为
,
的周长为
,求
关于
的函数解析式,并写出它的定义域;
(3)当
是直角三角形时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2023/2/23/3181008029065216/3187104858374144/STEM/0fb2a1edd9024a2f85da74236925d652.png?resizew=548)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15514bc735fe4b744672edefe00009c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13668f033d00acfc366f7e47949c4462.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15514bc735fe4b744672edefe00009c.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)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df7626240940eb340420a605e95aeee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
名校
2 . 如图,在矩形
中,
垂直平分
于点
,若
,
,则线段
的长度是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/11/e3a56936-8ae6-43a6-b914-482646398004.png?resizew=112)
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2023-01-29更新
|
228次组卷
|
5卷引用:22.3.1.2 矩形的判定-2022-2023学年八年级数学下册《考点·题型·技巧》精讲与精练高分突破系列(沪教版)
(已下线)22.3.1.2 矩形的判定-2022-2023学年八年级数学下册《考点·题型·技巧》精讲与精练高分突破系列(沪教版)四川省成都市金牛区成都外国语学校2020-2021学年九年级上学期期中数学试题(已下线)黄金卷02-【赢在中考·黄金8卷】备战2023年中考数学全真模拟卷(江苏徐州专用)(已下线)第04讲 矩形的判定、判定与性质综合-【暑假自学课】2023年新九年级数学暑假精品课(北师大版)四川省成都市成华区成都市第四十九中学校2023-2024学年九年级上学期期中数学试题
3 . 如图,已知
中,
,
,
垂直平分
,点D为垂足,交
于点 E.那么
的周长为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83f2793d5bb70dd8e755730da87647e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6818a98204f62c1b16699d26ca0c3f62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/9/1d070d86-ac49-4a86-b7bc-00f57d0be84f.png?resizew=92)
您最近一年使用:0次
2023-01-26更新
|
148次组卷
|
4卷引用:上海市松江区2018-2019学年八年级上学期期末数学试题
4 . 已知在平面直角坐标系
中,直线l:
上经过点
,
.
![](https://img.xkw.com/dksih/QBM/2023/1/17/3154888539709440/3155464989843456/STEM/7239593d91594320acf5fd7030b6c65b.png?resizew=260)
(1)求b、m的值;
(2)求
的面积;
(3)将直线l向上或向下平移,使得点A平移到在x轴上,原直线上有一点M平移后的对应点N,若
,求点M坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebb3b7f47e0decd48e64cb32aaa5903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fed316d8f55649ed1ddd9a508876f61.png)
![](https://img.xkw.com/dksih/QBM/2023/1/17/3154888539709440/3155464989843456/STEM/7239593d91594320acf5fd7030b6c65b.png?resizew=260)
(1)求b、m的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532d9de08698f61d7c010805c61a4ec5.png)
(3)将直线l向上或向下平移,使得点A平移到在x轴上,原直线上有一点M平移后的对应点N,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2032fccdf9ab12429aae024d67b19d60.png)
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5 . 如图,在
中,
垂直平分边
,交
于点E,
平分
的外角
,
,垂足为点G,
,垂足为点H.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47df2d454291078167fdd6eca04883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e64f503acd02b53ac2a26b6af3b27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b323da81a94eb194f037754c5b8c4b.png)
![](https://img.xkw.com/dksih/QBM/2023/1/17/3154888539709440/3155464989581312/STEM/057a027b6fb74d658fd3738ea003f780.png?resizew=189)
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名校
6 . 经过点
、
的圆的圆心轨迹是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2023-01-18更新
|
702次组卷
|
26卷引用:【区级联考】上海市嘉定区2018学年八年级第一学期期末考试数学试题
【区级联考】上海市嘉定区2018学年八年级第一学期期末考试数学试题上海市浦东新区第四教育署2019-2020学年八年级(五四制)12月教学质量自主调研数学试题上海市虹口区鲁迅初级中学2019-2020学年八年级上学期第二次月考数学试题上海市松江区松江区新桥中学2019-2020学年八年级上学期第二次月考数学试题上海市徐汇区南洋模范中学2019-2020学年八年级上学期第二次月考数学试题上海市松江区2018-2019学年八年级上学期期末数学试题上海市静安区实验中学八年级沪教版五四制第十九章 19.6轨迹上海市市西初级中学2018-2019学年八年级上学期期末数学试题上海市浦东新区2020-2021学年八年级上学期期末数学试题上海市浦东新区部分学校2020-2021学年七年级上学期期末数学试题上海市部分学校2020-2021学年八年级上学期期末数学试题上海市浦东模范中学2020-2021学年八年级上学期期末数学试卷2020-2021学年上海市部分学校八年级(上)期末数学试卷(五四学制)(已下线)上海期末精选50题(提升版)-2021-2022学年八年级数学上学期期中期末考试满分全攻略(沪教版)上海市浦东新区南汇第四中学2020-2021学年八年级上学期期末数学试题(已下线)第19章 几何证明(B卷·能力提升练)-【单元测试】2022-2023学年八年级数学上册分层训练AB卷(沪教版上海)(已下线)第11讲 线段垂直平分线、角平分线及轨迹(4大考点)-2022-2023学年八年级数学上学期考试满分全攻略(沪教版)(已下线)第19章 几何证明(基础、常考、易错、压轴)分类专项训练-2022-2023学年八年级数学上学期考试满分全攻略(沪教版)上海市青浦区白鹤中学2022--2023学年八年级上学期数学期末试卷上海市青浦区世界外国语学校2022--2023学年八年级上学期期末数学考试卷上海市风华初级中学2022-2023学年八年级上学期期末数学试卷上海市青浦区崧淀中学2021-2022学年八年级上学期期末数学试卷沪教版(上海)八年级上19.6第1课时 轨迹2019年青海省中考数学仿真备考试题上海嘉定区八年级上学期期末测试卷2021年湖北省黄冈市三校联考中考第一次摸底数学试卷
7 . 已知:如图,在四边形
中,
,
,点
是边
的中点,
.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/12/2cd92276-fcd5-4dc3-b16e-76b4c37fdc59.png?resizew=182)
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878a63a7899c8226744748a0102eab95.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/12/2cd92276-fcd5-4dc3-b16e-76b4c37fdc59.png?resizew=182)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97496ea0ac165e324de7e5faf7bf15b6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b178dadbd47d9d750b967ee1fbf2f1.png)
您最近一年使用:0次
8 . 如图,已知
,按如下步骤作图:
①以点
为圆心,任意长为半径作弧,分别交
、
于点
、
;
②分别以点
、
为圆心,大于
的长为半径作弧,两弧交于点
;
③作射线
交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/12/30af7cbb-f477-42e2-987d-b65d377a7e98.png?resizew=215)
(1)按照上述方法所作的线段
是
的________;(在横线上填上正确的序号)
①中线;②角平分线;③高.
(2)求作:点
,使得点
到直线
与直线
的距离相等,且
;(保留作图痕迹,不写作法,但要写出结论)
(3)过点
分别作
,
,垂足分别为点
、
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①以点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
②分别以点
![](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/65026a6b6402cb599e14be8023a3f6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
③作射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/12/30af7cbb-f477-42e2-987d-b65d377a7e98.png?resizew=215)
(1)按照上述方法所作的线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①中线;②角平分线;③高.
(2)求作:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/048bb40304b45c5be0b98de9183e4292.png)
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b81bf4ba158143489d0ed8a425074ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514191a070dc6951f7d65d251602b3b4.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/a51dfab0c1ec275ff83d08c7293968c4.png)
您最近一年使用:0次
9 . 已知:如图,在
中,
,
,
,点
是
边的中点.点
是射线
上的一动点(点
不与点
重合),点
在
的延长线上,且
,
,垂足为点
,
交边
于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/76176027-1fe2-4e8e-b212-15c2b67c264d.png?resizew=122)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/399e8cea-cf38-4dad-a82a-0123d63a5f76.png?resizew=113)
(1)求证:
;
(2)当点
在线段
上时,设
,
,求
关于
的函数解析式,并指出函数的定义域;
(3)当
时,直接写出
的长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab926d89b65f26c12e3da73ef1e5cf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3f1d2807be6d574e04ca9c6e721b22.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb27447c815a8a495ba5bf7040e265d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce50eeb654ef50f36a582c785f273ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/76176027-1fe2-4e8e-b212-15c2b67c264d.png?resizew=122)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/399e8cea-cf38-4dad-a82a-0123d63a5f76.png?resizew=113)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6095bae4840bfa80f2468f94b2002d7b.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768de10830626ca777f9b4cfa994a3e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e21bf3bb41f4648070c41f0f283945c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0761165f1176f3a5fe4f7b052832316d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
您最近一年使用:0次
22-23八年级上·上海·阶段练习
名校
10 . 如图,在
中,
,
边的垂直平分线交
于点D,交
于点E,如果
的周长为
,那么
的周长为____________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a5b342a70f7d52c3a2f8d891745e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be18d37a5a85628d768de34f316dd761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587b2d7db939bddb7be0c313eb8ae16f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72026e70f45cea6a7c49881592e73a02.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/06913a80-b1b6-4d6e-b8d4-654676ea36c2.png?resizew=175)
您最近一年使用:0次