1 . 如图,
中,
,
,点D,F分别为
的中点,且
,点M为线段
上一动点,当
的面积为12时,
周长的最小值为 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ca0f2b2b40440365fcce22ac32c0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d54431bbb28ebd98db5c1dc6083a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb3ea779c9f0edb28aa521056831852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f9fba8a4098c1a0515286eb8d616dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/4af93517-9338-4ac8-b44f-7b6458487ff6.png?resizew=151)
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名校
2 . 如图,在
中,
,
,
的面积是16,
的垂直平分线
分别交
,
边于E,F点,若点D为
边的中点,点M为线段
上一动点,则
周长的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e59b7c0d4a0b312e674b7bb061240b.png)
A.6 | B.8 | C.10 | D.12 |
您最近一年使用:0次
2023-12-24更新
|
333次组卷
|
8卷引用:江西省抚州市第一中学2022-2023学年八年级下学期月考数学试题
江西省抚州市第一中学2022-2023学年八年级下学期月考数学试题广东省惠州市仲恺区2023-2024学年八年级上学期期中数学试题(已下线)八年级数学上学期期中模拟测试卷02(人教版)-2023-2024学年八年级数学上学期期中期末考点归纳满分攻略讲练(人教版)江苏省南通市启东市2021-2022学年八年级上学期期末数学试题广东省湛江市徐闻县2021-2022学年八年级上学期期末数学试题天津市和平区汇文中学2022-2023学年八年级上学期数学第二次基础能力阶段性测试(已下线)第十三章 轴对称(A卷·知识通关练)-【单元测试】2022-2023学年八年级数学上册分层训练AB卷(人教版,广东专用)(已下线)暑假作业10 最短路径问题及折叠问题-【暑假分层作业】2024年七年级数学暑假培优练(北师大版)
3 . 如图所示,在边长为2的等边三角形
中,
为
的中点,
为
的中点,过点
作
交
于
,交
于
,
是线段
上一个动点,连接
,
,则
的周长的最小值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/d43eb186-e983-495c-8d76-7de81a5e2f9a.png?resizew=138)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.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/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee73452ee4d5437f1399f1235b95e55f.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5634a208294350f8ec151cd19b6d3278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004dd87e3afff786d4a10ac524706487.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/d43eb186-e983-495c-8d76-7de81a5e2f9a.png?resizew=138)
A.1 | B.2 | C.3 | D.4 |
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4 . 如图,在等腰
中,
,
,
于D,点M、N分别是线段
、
上的动点,则
的最小值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/26ff2443-476a-4077-9e1a-685ee3c4968e.png?resizew=193)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55d2649a844e8619de4663a03c233f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f8939f8c274cb26a8a6a5fa2469087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9684a1c229fc435be60036af705a010e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/26ff2443-476a-4077-9e1a-685ee3c4968e.png?resizew=193)
A.8 | B.10 | C.5 | D.4 |
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5 . 如图,在等腰三角形
中,
,
,
的垂直平分线
交
于点F,若点D为
边上的中点,M为
上的动点,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8b65efe27c217040c135d9e3111aee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c8c210650b91825d919c5cc1cf0ae6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/13/50bd046b-2328-4c21-b367-ca7557916371.png?resizew=100)
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6 . 如图,已知等边三角形
的边长是
,且高
,P为
上一动点,D为
的中点,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f9bc15c561fae220f26e44025ada13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79aee32def2f182e08e1576a928a6dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9afd460d7f037a24d23542a9288ab35.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/35492ccd-3262-4568-a4b1-de40bb04a996.png?resizew=129)
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7 . 如图,在
中,
,
,
,
垂直平分
,点P为直线
上一动点,则
周长的最小值是 _______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df049f15adb6667113ceee3a6638cd0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/8e429795-b7b0-45c6-a4bb-fe735728a093.png?resizew=194)
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8 . 如图,在
中,
,
是
的中点,
垂直平分
,交
于点
,交
于点
,
是直线
上的动点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/4643d0fa-0d8b-4e86-8538-ccb604e0f931.png?resizew=105)
(1)当
时,
①若
,则点
到
的距离为________;
②若
,
,求
的周长;
(2)若
,且
的面积为40,求
周长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/4643d0fa-0d8b-4e86-8538-ccb604e0f931.png?resizew=105)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4d54b7ff95f2bb56fc6f7979fae83f.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3f720e3ca8647615294516e4e0b33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9666c4d3a55bd60ccf1f7632ab279e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f955e5cc9f108de6f3ca01e5eb84c52e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e59b7c0d4a0b312e674b7bb061240b.png)
您最近一年使用:0次
2023-12-11更新
|
144次组卷
|
10卷引用:山西省朔州市部分学校2023-2024学年八年级上学期第二次月考数学试题
山西省朔州市部分学校2023-2024学年八年级上学期第二次月考数学试题山西省朔州市怀仁市第九中学校2023-2024学年八年级上学期月考数学试题吉林省2023-2024学年八年级上学期期中数学试题河北省石家庄市平山县2021-2022学年八年级上学期期末数学试题河北省沧州市黄骅市2021-2022学年八年级上学期期末数学试题(已下线)专题13.14 等边三角形(巩固篇)(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(人教版)河北省沧州市黄骅市第二中学2021-2022学年八年级上学期期末数学试题(已下线)专题2.9 等边三角形及其性质与判定(巩固篇)(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(浙教版)吉林省白城市洮北区第三中学2022-2023学年八年级上学期期中数学试题吉林省松原市宁江区2023-2024学年八年级上学期期中数学试题
9 . 如图,在
的正方形网格中,每个小正方形的边长都为2.网格中有一个格点
(即三角形的顶点都在格点上).
(1)在图中作出
关于直线
对称的
;(要求∶A与
,B与
,C与
相对应)
(2)若有一格点P到点B、C的距离相等,则网格中满足条件的点P共有______个;
(3)在直线l上找一点Q,使
的值最小,并直接写出此时
的最小值的平方______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a96e9c2e2a15130d1d56a1d0e16b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/20/488de2ba-291e-45d3-8cd9-e3dd7e4cb35a.png?resizew=150)
(1)在图中作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若有一格点P到点B、C的距离相等,则网格中满足条件的点P共有______个;
(3)在直线l上找一点Q,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6e5fa84e332463b494142d4054e603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6e5fa84e332463b494142d4054e603.png)
您最近一年使用:0次
10 . 教材呈现:如图是华师版八年级上册数学教材第94页的部分内容.
2.线段垂直平分线
我们已经知道线段是轴对称图形,线段的垂直平分线是线段的对称轴.如图,直线
是线段
的垂直平分线,
是
上任一点,连结
、
.将线段
沿直线
对折,我们发现
与
完全重合.由此即有:
绕段垂直平分线的性质定理 线段垂直平分线上的点到线段两端的距离相等.
已知:如图,
,垂足为点
,
,点
是直线
上的任意一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/ecb988db-52e2-4aa9-a595-494355435bd1.jpg?resizew=96)
求证:
.
你写出完整的证明过程
分析
图中有两个直角三角形
和
,只要证明这两个三角形全等,便可证得
.
(1)请根据所给教材内容结合图①,写出“线段垂直平分线的性质定理”完整的证明过程.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/8349f47e-0274-4da7-89e9-1c5a300e8662.jpg?resizew=450)
定理应用:
(2)如图②,在
中,
、
的垂直平分线分别交
于点
、
,垂足分别为
,
,
,则
的周长为________.
(3)如图③,在
中,
,
,
、
分别是
、
上任意一点,若
,
的面积为30,则
的最小值是________.
2.线段垂直平分线
我们已经知道线段是轴对称图形,线段的垂直平分线是线段的对称轴.如图,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
绕段垂直平分线的性质定理 线段垂直平分线上的点到线段两端的距离相等.
已知:如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f479d987bc7abd828c64f9dc745836ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/ecb988db-52e2-4aa9-a595-494355435bd1.jpg?resizew=96)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e4d19bf237a6fca67e0d01a9ddb726.png)
你写出完整的证明过程
分析
图中有两个直角三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf4c26f3f4d96117f087400a0f32ece8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb5255e2159617505e0c87d01437a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e4d19bf237a6fca67e0d01a9ddb726.png)
(1)请根据所给教材内容结合图①,写出“线段垂直平分线的性质定理”完整的证明过程.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/8349f47e-0274-4da7-89e9-1c5a300e8662.jpg?resizew=450)
定理应用:
(2)如图②,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b8a4b0e72a4de1da975168b243a325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
(3)如图③,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb41f8ded9116e83f87a8e43b0ce7f8.png)
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