1 . 在平面直角坐标系中,已知抛物线
与
轴交于
,
两点(点
在点
的左侧),与
轴交于点
,顶点为点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/25/ae78b48d-8988-4143-8484-c2cf7819e398.png?resizew=603)
(1)当
时,直接写出点
,
,
,
的坐标;
(2)如图1,直线
交
轴于点
,若
,求
的值及直线
的解析式;
(3)如图2,在(2)的条件下,若点
为
的中点,连接
,动点
在第二象限的抛物线上运动,过点
作
轴的垂线,垂足为
,交
于点
,过点
作
,垂足为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c45fa324e3c10642824e4d9820195b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/25/ae78b48d-8988-4143-8484-c2cf7819e398.png?resizew=603)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f34f9141c604608c1834763e57c390.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)如图1,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc33cb390df7c808e1fa9701036497c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(3)如图2,在(2)的条件下,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](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/3f59cd2155b7c37563e8e56d9076ba32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ddeb7ce17137144641f061042c14fb.png)
您最近一年使用:0次
2 . 如图,在正方形
中,点
是
的中点,连接
,
于点
,交
于点
.
![](https://img.xkw.com/dksih/QBM/2022/3/15/2936816397443072/2939382229008384/STEM/113b2b86-a50a-437a-8f48-25a465511a29.png?resizew=151)
(1)求证:
;
(2)若正方形的边长为4,求
的长;
(3)在(2)的条件下,连接
并延长
交
于点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1893d78af450a5fa09810537adc2dfa.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2022/3/15/2936816397443072/2939382229008384/STEM/113b2b86-a50a-437a-8f48-25a465511a29.png?resizew=151)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
(2)若正方形的边长为4,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
(3)在(2)的条件下,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b884c834a33ce0e704f9ca4d0d322b85.png)
您最近一年使用:0次
3 . 如图,四边形ABCD内接于⊙O,AC是⊙O的直径,DE⊥BC交BC延长线于点E,CD平分∠ACE.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/9/08e6c5dc-7e94-4812-8cb0-9a6961cf90a9.png?resizew=180)
(1)求证DE是⊙O的切线;
(2)若AD=6,DE=4,求AC的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/9/08e6c5dc-7e94-4812-8cb0-9a6961cf90a9.png?resizew=180)
(1)求证DE是⊙O的切线;
(2)若AD=6,DE=4,求AC的长.
您最近一年使用:0次
2022-03-15更新
|
222次组卷
|
3卷引用:2022年贵州省习水县中考适应性考试数学试题
4 . 在Rt△ABC中,∠ABC=90°,AB=10,BC=6,以AB为直径作⊙O,点D为直径AB上一动点,连接CD,将线段CD绕点D逆时针旋转90°得到线段ED,连接AE.
(1)如图1,当AD=BC时,求证:AE是⊙O的切线;
![](https://img.xkw.com/dksih/QBM/2022/2/5/2909743401762816/2936821909921792/STEM/d2787441-4f71-4569-b3bf-10f5b885c68f.png?resizew=168)
(2)如图2,当点E落在⊙O上时,求线段AD的长度;
![](https://img.xkw.com/dksih/QBM/2022/2/5/2909743401762816/2936821909921792/STEM/1da16961-c385-4c5b-a58e-c162f017f4a7.png?resizew=168)
(3)直接写出点D从点A运动到点B的过程中,点E运动路径的长度.
(1)如图1,当AD=BC时,求证:AE是⊙O的切线;
![](https://img.xkw.com/dksih/QBM/2022/2/5/2909743401762816/2936821909921792/STEM/d2787441-4f71-4569-b3bf-10f5b885c68f.png?resizew=168)
(2)如图2,当点E落在⊙O上时,求线段AD的长度;
![](https://img.xkw.com/dksih/QBM/2022/2/5/2909743401762816/2936821909921792/STEM/1da16961-c385-4c5b-a58e-c162f017f4a7.png?resizew=168)
(3)直接写出点D从点A运动到点B的过程中,点E运动路径的长度.
您最近一年使用:0次
2022-03-15更新
|
206次组卷
|
2卷引用:贵州省遵义市2021-2022学年九年级上学期期末数学试题
2022九年级·全国·专题练习
解题方法
5 . 如图,四边形ABCD内接于⊙O,对角线AC是⊙O的直径,过点C作AC的垂线交AD的延长线于点E,F为CE的中点,连接BD,DF,BD与AC交于点P.
![](https://img.xkw.com/dksih/QBM/2022/2/24/2923424571121664/2927595136073728/STEM/4bf082edef6747949c25a39d69a0cafb.png?resizew=144)
(1)求证:DF是⊙O的切线;
(2)若AC=2
DE,求tan∠ABD的值;
(3)若∠DPC=45°,PD2+PB2=8,求AC的长.
![](https://img.xkw.com/dksih/QBM/2022/2/24/2923424571121664/2927595136073728/STEM/4bf082edef6747949c25a39d69a0cafb.png?resizew=144)
(1)求证:DF是⊙O的切线;
(2)若AC=2
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30efdb9c7eb4b788352056f3edf21635.png)
(3)若∠DPC=45°,PD2+PB2=8,求AC的长.
您最近一年使用:0次
名校
解题方法
6 . 如图,已知D是等边
边AB上的一点,现将
折叠,使点C与D重合,折痕为EF,点E、F分别在AC和BC上.如果
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfdc6e2bdde8bc6086c6d9415bc02bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c016abb8ade742396f37019f38e1b79a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/9/0bc235d8-89da-4067-ae07-78e2ce0a40f9.png?resizew=165)
您最近一年使用:0次
2022-01-23更新
|
352次组卷
|
9卷引用:2021年贵州省遵义市汇川区初中生毕业认定测试数学试题(三模)
2021年贵州省遵义市汇川区初中生毕业认定测试数学试题(三模)广东省深圳市罗湖区罗湖外语学校初中部2019-2020学年九年级上学期第二次月考数学试题江苏省扬州市仪征市2021-2022学年九年级上学期期末数学试题浙江省宁波市江北区宁波外国语学校2022-2023学年九年级上学期期中数学试题山东省菏泽市开发区多校联考2022-2023学年九年级下学期3月月考(一模)数学试题(已下线)专题04 三角形有关证明与计算-学易金卷:2023年中考数学一模试题分项汇编(山东专用)2023年江西省赣州市章贡区第三中学中考模拟数学试题江苏省扬州市汪曾祺学校2023-2024学年九年级上学期9月月考数学试题江苏省扬州市2023-2024学年九年级上学期9月月考数学试题
7 . 如图,在▱ABCD中,AB=2,BC=3,∠A=120°,点P是AD边上一点,连接PC交BD于O,若△CDP是等腰三角形,则B、D两点到线段PC的距离之和等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/de13d602-1a5f-4710-ae37-bc9f2d14512f.png?resizew=161)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/de13d602-1a5f-4710-ae37-bc9f2d14512f.png?resizew=161)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
真题
名校
8 . 如图1,O为半圆的圆心,C、D为半圆上的两点,且
.连接
并延长,与
的延长线相交于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/11/b14cb98a-86e7-4f5d-bda5-34b8a1280191.png?resizew=454)
(1)求证:
;
(2)
与
,
分别交于点F,H.
①若
,如图2,求证:
;
②若圆的半径为2,
,如图3,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a313a8a3cc7d4bf0b56a76697a51ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/11/b14cb98a-86e7-4f5d-bda5-34b8a1280191.png?resizew=454)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f21678a0009eb39b6886653d295b09a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54a3e611afac9843ab7f474b721cabb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f7d80f8ef121e39d557b5bbbc0f2ba.png)
②若圆的半径为2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb08f6a798dc293f3d8de281190f65e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
2021-06-18更新
|
1463次组卷
|
11卷引用:2022年贵州省遵义市中考导向数学模拟卷(三)
2022年贵州省遵义市中考导向数学模拟卷(三)山东省泰安市2021年中考数学真题2022年广东省九年级下学期中考数学模拟试题广东省茂名市高州市第一中学附属实验中学2021-2022学年九年级下学期3月月考数学试题广东省揭阳市普宁市红领巾实验学校2021-2022学年九年级下学期第二次素质数学试题2023年广东省深圳市中考数学初中学业水平考试模拟试卷(三)广东省揭西县上沙中学等四校2022-2023学年九年级下学期3月联考数学试题鲁教版(五四制)数学九年级下册第五章 圆 单元检测题2023年湖北省天门市天宜中学中考模拟数学试卷(5月)(已下线)专题16圆解答题(精选34道)-学易金卷:三年(2021-2023)中考数学真题分项汇编【山东专用】山东省泰安市宁阳县第五中学(五四制)2023-2024学年九年级上学期第三次月考数学试题
真题
名校
9 . 如图,已知AB是⊙O的直径,直线CD与⊙O相切于点C,交AB的延长线于点E,AC平分
.且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/c027feb7-0f92-4b17-a769-2f4596279222.png?resizew=171)
(1)求证:
;
(2)若点P为线段CE上一动点,当
与
相似时,求EP的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2d3f02cb9007cd4a90ea30f6dd8181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac2ae98eb223b4fe33e53e9d3ba4cc40.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/c027feb7-0f92-4b17-a769-2f4596279222.png?resizew=171)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c1c122603b60b6f1a1334ddb56c3fb7.png)
(2)若点P为线段CE上一动点,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6accdd9b317c922d335e44911df357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb49df05f2e31d005735c3f14a21d30.png)
您最近一年使用:0次
2021-06-10更新
|
761次组卷
|
6卷引用:贵州省遵义市赤水市第一中学2021-2022学年九年级上学期质检数学试卷(12月份)
解题方法
10 . 新定义:有一组邻边相等且对角互补的四边形叫做等补四边形.如图1,在四边形
中,
,
,则四边形
是一个等补四边形.在数学活动课上,巧巧小组对等补四边形
进一步探究,发现
平分
.
(1)巧巧小组提供的解题思路是:如图2,过点
分别作
于
,
交
的延长线于
,通过证明
,得
,再根据“角的内部到角的两边的距离相等的点在角的平分线上”得到
平分
.请你写出巧巧小组的完整证明过程;
(2)如图3,在平面直角坐标系中,点
、
在
轴上,以
为直径的
交
轴于点
、
,点
为弧
上一动点(不与
、
重合),求证:四边形
始终是一个等补四边形;
(3)在(2)的条件下,如图4,已知
,
,巧巧小组提出了一个问题:连接
,
与
的比值是否会随着点
的移动而变化?若不变化,请求出其比值;若变化,请说明理由.
![](https://img.xkw.com/dksih/QBM/2021/6/4/2735848563318784/2738096962265088/STEM/68f7f5a0-daab-4370-9059-2a0b0d27228d.png)
![](https://img.xkw.com/dksih/QBM/2021/6/4/2735848563318784/2738096962265088/STEM/11fc1075-c51e-4862-886d-c8479b4cfcf3.png)
![](https://img.xkw.com/dksih/QBM/2021/6/4/2735848563318784/2738096962265088/STEM/e6542d736ffd426795684e2e9f53ce55.png?resizew=170)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd95dc30c0344788b94289c464a3158e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b648f6f2bcc33d4ab0d3925ffb9c5e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
(1)巧巧小组提供的解题思路是:如图2,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd657e48b15b9b54a55817e2c26b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b41fbe1fcf9e627166e026a1ae42cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac2de955bf06a86d2e7edcdfa4a7798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb27447c815a8a495ba5bf7040e265d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
(2)如图3,在平面直角坐标系中,点
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/dad2a36927223bd70f426ba06aea4b45.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/1b5d53a22172ae2229fba8412c5ba46f.png)
(3)在(2)的条件下,如图4,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186dee1a1cf68677d143172a2a50709c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/2021/6/4/2735848563318784/2738096962265088/STEM/68f7f5a0-daab-4370-9059-2a0b0d27228d.png)
![](https://img.xkw.com/dksih/QBM/2021/6/4/2735848563318784/2738096962265088/STEM/11fc1075-c51e-4862-886d-c8479b4cfcf3.png)
![](https://img.xkw.com/dksih/QBM/2021/6/4/2735848563318784/2738096962265088/STEM/e6542d736ffd426795684e2e9f53ce55.png?resizew=170)
![](https://img.xkw.com/dksih/QBM/2021/6/4/2735848563318784/2738096962265088/STEM/0874b530b82f4b32bcdfd4c9820f872e.png?resizew=166)
您最近一年使用:0次