名校
1 . 如图,在棱长为a的正方体ABCD-A1B1C1D1中,M,N分别是AA1,D1C1的中点,过D,M,N三点的平面与正方体的下底面A1B1C1D1相交于直线l.
![](https://img.xkw.com/dksih/QBM/2019/12/16/2356356384268288/2357353698623488/STEM/4a92b979-f410-4d8e-aaf6-c92967a64541.png)
(1)画出直线l的位置,并简单指出作图依据;
(2)设l∩A1B1=P,求线段PB1的长.
![](https://img.xkw.com/dksih/QBM/2019/12/16/2356356384268288/2357353698623488/STEM/4a92b979-f410-4d8e-aaf6-c92967a64541.png)
(1)画出直线l的位置,并简单指出作图依据;
(2)设l∩A1B1=P,求线段PB1的长.
您最近一年使用:0次
名校
2 . 已知函数f(x)是定义在R上的奇函数,且当x≤0时,f(x)=x2+2x.
![](https://img.xkw.com/dksih/QBM/2019/1/8/2114189271760896/2115174370729984/STEM/bb34c31c054f432d9ee4a50926f6786b.png?resizew=290)
(1)现已画出函数f(x)在y轴左侧的图象,如图所示,请补全函数f(x)的图象;
(2)求出函数f(x)(x>0)的解析式;
(3)若方程f(x)=a恰有3个不同的解,求a的取值范围.
![](https://img.xkw.com/dksih/QBM/2019/1/8/2114189271760896/2115174370729984/STEM/bb34c31c054f432d9ee4a50926f6786b.png?resizew=290)
(1)现已画出函数f(x)在y轴左侧的图象,如图所示,请补全函数f(x)的图象;
(2)求出函数f(x)(x>0)的解析式;
(3)若方程f(x)=a恰有3个不同的解,求a的取值范围.
您最近一年使用:0次
2019-01-09更新
|
1142次组卷
|
9卷引用:【市级联考】河南省驻马店市2018-2019学年高一上学期期中考试数学试卷
【市级联考】河南省驻马店市2018-2019学年高一上学期期中考试数学试卷人教A版(2019) 必修第一册 突围者 第三章 3.2课时3 奇偶性河南省郑州市106中学2019-2020学年高一上学期9月月考数学试题河南省淮阳县陈州高级中学2019-2020学年高一上学期期中考试数学试题(已下线)练习3+函数的概念与性质-2020-2021学年【补习教材·寒假作业】高一数学(人教A版2019)(已下线)第三章 函数的概念和性质(章末测试)-【上好课】2021-2022学年高一数学同步备课系列(人教A版2019必修第一册)湖南省邵阳市第二中学2021-2022学年高一上学期期中数学试题青海省海南藏族自治州高级中学2022-2023学年高三上学期10月月考数学(理)试题湖南省株洲市第二中学2021-2022学年高一上学期期中数学试题
名校
3 . 某校从参加高一年级期末考试的学生中抽出40名学生,将其成绩(均为整数)分成六段
后画出如下部分频率分布直方图,观察图形的信息,回答下列问题:
![](https://img.xkw.com/dksih/QBM/2017/10/21/1799900580732928/1800715377942528/STEM/224829b915ed406899d6a35735549243.png?resizew=314)
(1)求第四小组的频率,并补全频率分布直方图;
(2)估计这次考试的及格率(60分及以上为及格)和平均分;
(3)从成绩是
~
分及
~
分的学生中选两人,记他们的成绩为
,求满足“
”的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e439286bf83ff2dcd29f79f4f53576b.png)
![](https://img.xkw.com/dksih/QBM/2017/10/21/1799900580732928/1800715377942528/STEM/224829b915ed406899d6a35735549243.png?resizew=314)
(1)求第四小组的频率,并补全频率分布直方图;
(2)估计这次考试的及格率(60分及以上为及格)和平均分;
(3)从成绩是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b72ac611ae66b86761e080761d9aabc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17161b28b6ad8f57abc5b11e1b6c671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca329e96527223d5ec3b074946b172.png)
您最近一年使用:0次
19-20高二下·上海浦东新·阶段练习
名校
解题方法
4 . 正四棱锥
的底面正方形边长是3,
是在底面上的射影,
,
是
上的一点,过
且与
、
都平行的截面为五边形
.
![](https://img.xkw.com/dksih/QBM/2020/5/4/2455313146961920/2455679765872641/STEM/99c63537a094425cac0803ac5f8d88c6.png?resizew=157)
(1)在图中作出截面
,并写出作图过程;
(2)求该截面面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f091d853ef8f4133dfa73d7b9622cee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f48aa3096fb3db24874b1c6701a6ed.png)
![](https://img.xkw.com/dksih/QBM/2020/5/4/2455313146961920/2455679765872641/STEM/99c63537a094425cac0803ac5f8d88c6.png?resizew=157)
(1)在图中作出截面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f48aa3096fb3db24874b1c6701a6ed.png)
(2)求该截面面积的最大值.
您最近一年使用:0次
2020-05-04更新
|
1299次组卷
|
6卷引用:上海市华东师范大学第二附属中学2019-2020学年高二下学期(4月)月考数学试题
(已下线)上海市华东师范大学第二附属中学2019-2020学年高二下学期(4月)月考数学试题2020届上海市高三高考压轴卷数学试题(已下线)重难点05 空间向量与立体几何-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)专题5.8 期末考前选做30题(解答题压轴版)-2020-2021学年高二数学下学期期末专项复习(沪教版)(已下线)第09讲 空间几何体的结构与直观图(核心考点讲与练)(1)(已下线)第四章 立体几何解题通法 专题一 降维法 微点1 降维法(一)【基础版】
2018·上海浦东新·三模
名校
5 . 某作图软件的工作原理如下:给定
,对于函数
,用直线段链接各点
,所得图形作为
的图象.因而,该软件所绘
与
的图象完全重合.若其所绘
与
的图象也重合,则
不可能等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6f0e2436b12c57b10761bf10b62ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba7c588f54fc1deaa6082359474aa8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6dbe110df542fbe9afd9b28046edb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77935ee11695cf3966613404f78fb853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c65d71e57e6e7697e2f627dcd58583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 如图所示,在正方体
中,点
在棱
上,且
,点
、
、
分别是棱
、
、
的中点,
为线段
上一点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/6cdf8094-b71d-4477-865e-03ffabb084f5.png?resizew=148)
(1)若平面
交平面
于直线
,求证:
;
(2)若直线
平面
,
①求三棱锥
的表面积;
②试作出平面
与正方体
各个面的交线,并写出作图步骤,保留作图痕迹设平面
与棱
交于点
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbafedc202bd0d86c4dfdece9f8f4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f01d1dd10776b00e9df008f03f2608c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/2777840758e70e7dbbc18cef8f3d6d2b.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/6cdf8094-b71d-4477-865e-03ffabb084f5.png?resizew=148)
(1)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a447dc58e10adb7c8014071651e7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ba669c69462fbbff2ef12ea9015fc8.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565133e91e3ace2b2187cfc6f1db5be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a447dc58e10adb7c8014071651e7c9.png)
①求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b03980f99fa0f339388e564466e8b94.png)
②试作出平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf62b9fe96ad0b0f58c8b3ba3075ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf62b9fe96ad0b0f58c8b3ba3075ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4a7ba7546acc68f9cff46f1c53557f.png)
您最近一年使用:0次
2020-11-06更新
|
1995次组卷
|
6卷引用:北京市中国人民大学附属中学2019-2020学年高一下学期数学期末练习试题
北京市中国人民大学附属中学2019-2020学年高一下学期数学期末练习试题(已下线)专题05 立体几何初步(重点)-2020-2021学年高一数学下学期期末专项复习(北师大版2019必修第二册)(已下线)专题06 立体几何初步(难点)-2020-2021学年高一数学下学期期末专项复习(北师大版2019必修第二册)北京市第八十中学2021-2022学年高一下学期期中考试数学试题江苏省镇江第一中学2021-2022学年高一下学期6月月考数学试题(已下线)高一下学期期末真题精选(压轴60题20个考点专练)-【满分全攻略】2022-2023学年高一数学下学期核心考点+重难点讲练与测试(人教A版2019必修第二册)
7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defe8603ada1c2de987abfac40501a48.png)
(1)判断函数
的奇偶性
(2)作函数
的简图(在答题卡上作图,不需要写作图过程)并写出函数的单调递增区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defe8603ada1c2de987abfac40501a48.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)作函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
您最近一年使用:0次
解题方法
8 . 在如图所示的六面体中,四边形ABCD是边长为2的正方形,四边形ABEF是梯形,
,平面
平面ABEF,BE=2AF=2,EF
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/7bdd7d5b-cfe5-4383-a128-6a9558fd4a51.png?resizew=147)
(1)在图中作出平面ABCD与平面DEF的交线,并写出作图步骤,但不要求证明;
(2)求证:
平面DEF;
(3)求平面ABEF与平面ECD所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3e927b7b2383ccded03838ae8b30b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9a6db3571fa57bfa2d5e4d44c51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/7bdd7d5b-cfe5-4383-a128-6a9558fd4a51.png?resizew=147)
(1)在图中作出平面ABCD与平面DEF的交线,并写出作图步骤,但不要求证明;
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8197bf06d017950c85c3ba6a291c095e.png)
(3)求平面ABEF与平面ECD所成锐二面角的余弦值.
您最近一年使用:0次
名校
9 . 如图☆的曲线,其生成方法是(I)将正三角形【图(1)】的每边三等分,并以中间的那一条线段为一底边向形外作等边三角形,然后去掉底边,得到图(2);(II)将图(2)的每边三等分,重复上述的作图方法,得到图(3);(III)再按上述方法继续做下去,所得到的曲线称为雪花曲线(Koch Snowflake),
![](https://img.xkw.com/dksih/QBM/2020/1/6/2371404175564800/2372193744011265/STEM/61de2d7304d64a70a63db49b349ef291.png?resizew=26)
(1)
(2)
(3)
.
设图(1)的等边三角形的边长为1,并且分别将图(1)、(2)、(3)…中的图形依次记作M1、M2、M3、…
…
(1)设
中的边数为
中每条边的长度为
,写出数列
和
的递推公式与通项公式;
(2)设
的周长为
,
所围成的面积为
,求数列{
}与{
}的通项公式;请问周长
与面积
的极限是否存在?若存在,求出该极限,若不存在,简单说明理由.
![](https://img.xkw.com/dksih/QBM/2020/1/6/2371404175564800/2372193744011265/STEM/61de2d7304d64a70a63db49b349ef291.png?resizew=26)
![](https://img.xkw.com/dksih/QBM/2020/1/6/2371404175564800/2372193744011265/STEM/0a55eefe3191444fa5fae446208e07c7.png?resizew=129)
![](https://img.xkw.com/dksih/QBM/2020/1/6/2371404175564800/2372193744011265/STEM/7020d600d2a146ebbf97a487419a85eb.png?resizew=118)
![](https://img.xkw.com/dksih/QBM/2020/1/6/2371404175564800/2372193744011265/STEM/fbabab9d58a84598ab4a47e4f8263d0d.png?resizew=127)
![](https://img.xkw.com/dksih/QBM/2020/1/6/2371404175564800/2372193744011265/STEM/f14e97f951fb4951bf71a0c3467d0e6a.png?resizew=134)
设图(1)的等边三角形的边长为1,并且分别将图(1)、(2)、(3)…中的图形依次记作M1、M2、M3、…
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b4b5c950c54ee4fe07792099b0d343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ba6923490821b5d5af1ef0025560d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eded65284816fdf6bf335b0c2a78e6a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a2d3cd8e283ae9d04bee5ab2e0895b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a2d3cd8e283ae9d04bee5ab2e0895b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a2d3cd8e283ae9d04bee5ab2e0895b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
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13-14高二下·上海金山·期末
10 . 下图是利用计算机作图软件在直角坐标平面
上绘制的一列抛物线和一列直线,在焦点为
的抛物线列
中,
是首项和公比都为
的等比数列,过
作斜率2的直线
与
相交于
和
(
在
轴的上方,
在
轴的下方).
证明:
的斜率是定值;
求
、
、
、
、
所在直线的方程;
记
的面积为
,证明:数列
是等比数列,并求所有这些三角形的面积的和.
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/b1fdd5907c8945daa1d2a6c5f85cff33.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/e5bc5a88b190402ea0a5585796983893.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/480e1c5e5b41471fb3cbb691b8dd760c.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/254ded389dcb47029ef772c5050ecdb8.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/9d29b9adb3cd4d17863ebcba6f543736.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/e5bc5a88b190402ea0a5585796983893.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/900a3ffa563046c689438590dba753a8.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/a564e5d460ff45f084c9f06f50d168aa.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/25671a533b2f49da9491f03489380d64.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/422941d4ca564a3a9450487377c153fa.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/25671a533b2f49da9491f03489380d64.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/5c35b050df974373881b650ad5208d3f.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/422941d4ca564a3a9450487377c153fa.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/5c35b050df974373881b650ad5208d3f.png)
证明:
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/ee9191fbd491406bb810d9de498be548.png)
求
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/d5fd4eafdb57476fa2e30c7b9df32b1c.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/194610503a754b7686aa315734c59db2.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/ff5ec7535416488e8cc40f3416673c07.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/25671a533b2f49da9491f03489380d64.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/ff5ec7535416488e8cc40f3416673c07.png)
记
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/4899235549084d7b8c01254c4f1bc148.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/e506fc2c8bb4417f818d405cf4ed084b.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/c8fdf56ddd71474da71fa61f9cd63e63.png)
![](https://img.xkw.com/dksih/QBM/2014/10/8/1571870225850368/1571870231740416/STEM/f9a43993371a48cfa376a82c6752a9ed.png)
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