真题
解题方法
1 . 已知双曲线
左右顶点分别为
,过点
的直线
交双曲线
于
两点.
(1)若离心率
时,求
的值.
(2)若
为等腰三角形时,且点
在第一象限,求点
的坐标.
(3)连接
并延长,交双曲线
于点
,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a3c16c6fb4a254b44936b2caf107a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8547f2b4e89b0ae1445bda02d46f0668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
(1)若离心率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0276541c12707b24d2f06ea3d976cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f02a5f7c7bed4e46a9ea36b510590a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d353f7781e779b5c72e56388934e345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
真题
2 . 对于一个函数
和一个点
,令
,若
是
取到最小值的点,则称
是
在
的“最近点”.
(1)对于
,求证:对于点
,存在点
,使得点
是
在
的“最近点”;
(2)对于
,请判断是否存在一个点
,它是
在
的“最近点”,且直线
与
在点
处的切线垂直;
(3)已知
在定义域R上存在导函数
,且函数
在定义域R上恒正,设点
,
.若对任意的
,存在点
同时是
在
的“最近点”,试判断
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e75192ed6ee73f295754edfbbb4a4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25be20e3724274132cb83b16deaeecfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6085b118b86f7f4dd54864e113cd595c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bce420cf236e5f429afee284239010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3641338ac7fd85ef574690ba1f988d11.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6be4ab05ff885a4a6a043eaebe7a91b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf6463a6ee745687de1ee10f4d40253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90183525765a8279328417af4bf6179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237c115d5b39d761e1cbcae031070b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
3 . 已知数列
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008348710d58f60262da3759afd4e606.png)
A.当![]() ![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-06-19更新
|
11115次组卷
|
27卷引用:2023年北京高考数学真题
2023年北京高考数学真题专题05数列(成品)(已下线)2023年北京高考数学真题变式题6-10(已下线)北京十年真题专题06数列北京十年真题专题06数列山西省晋城市第一中学校2024届高三上学期8月月考数学试题上海市育才中学2024届高三上学期10月调研数学试题上海市南洋模范中学2024届高三上学期10月月考数学试题(已下线)模块四 第五讲:利用导数证明不等式【练】上海市普陀区晋元高级中学2024届高三上学期秋考模拟数学试题(已下线)第1讲:数列的函数性质应用【练】(已下线)数列的综合应用(已下线)第3讲:数列中的不等问题【练】(已下线)第4讲:数列中的最值问题【练】(已下线)专题05 数列 第三讲 数列与不等关系(分层练)(已下线)重难点10 数列的通项、求和及综合应用【九大题型】(已下线)专题28 数列的概念与简单表示(已下线)专题06 数列小题(理科)-2(已下线)专题05 数列小题(7类题型,文科)河南省信阳高级中学2024届高三5月测试(一)二模数学试题专题03导数及其应用专题13导数及其应用(已下线)五年北京专题09导数及其应用(已下线)三年北京专题09导数及其应用北京市东直门中学2023-2024学年高一上学期期中考试数学试题(已下线)专题06 数列在高考中的考法(难点,十一大题型+过关检测专训)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)(已下线)第4章 数列(压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第一册)
真题
4 . 设函数
(
,且
,
)
(1)当
时,求
的展开式中二项式系数最大的项;
(2)对任意的实数
,证明
(
是
的导函数);
(3)是否存在
,使得
恒成立?若存在,试证明你的结论并求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69438543e3a9928c1f2295262f6579c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e468312d09c6563c9094b710a35a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c50fb5615e36df436d747356b00d78.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f71935797074e889f15a62ac370a9c1.png)
(2)对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a0ffe57e983469b590914f5ce06d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c38f3baf9a34265fbdb5c65dd1664d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b5fb0bc5207a915464ef8a5f40f5e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
5 . 如图,对每个正整数n,
是抛物线
上的点,过焦点F的直线
交抛物线于另一点
.
;
(2)取
,并记
为抛物线上分别以
与
为切点的两条切线的交点.试证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c5b2ecf3d4a067272790f360b5d05d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e808c00d132c5833c3875b6274908f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3765f6f6b85240bc9b1a83697841a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62cde0ab292499667e6e29933041746b.png)
(2)取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1c1eb1e62cbc94fe79d1fe5791395d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f64fa5595a26602abc4d2019af5a00.png)
您最近一年使用:0次
2022-11-12更新
|
828次组卷
|
3卷引用:2006年普通高等学校招生考试数学(文)试题(重庆卷)
真题
解题方法
6 . 已知函数
,且存在
,使
.
(1)证明:
是
上的单调增函数;
(2)设
,
,
,
,其中
.证明:
;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3cfd92b7157867ed0bbf56b6ea2c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b95189511359447a21cc4e22b3ac972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f66a2b3d90f0d935d6c8ebaf675349.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b6ab454199d2738ea1b5cefb133d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0cf06beb7cfde2c2ce4796bfe6d7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f347a1bd45e8fe728bef4952ff2e6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c5a726124806fc0936968107e106e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7247567230a3bebb8fa497c2b22bb02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c6648cdc6f9ffd069014c2d642400e.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1febbc0b83f99c6a1a9814c5f6a1c0.png)
您最近一年使用:0次
真题
7 . 直线L的方程为
,其中
.椭圆的中心为
.焦点在x轴上,长半轴长为2,短半轴长为1,它的一个顶点为
,问在哪个范围内取值时,椭圆上有四个不同的点,它们中每一个点到点A的距离等于该点到直线L的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64b91d079810d968b9ef63e3284c7af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e01fd43b6c3f021ece6e027a9d1c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d8ed8610b98fcb79ab6347200bdc1f.png)
您最近一年使用:0次
真题
8 . 已知不等式
,其中
为大于
的整数,
表示不超过
的最大整数.设数列
的各项为正,且满足
,
,
,….
(1)证明:
,
,…;
(2)猜测数列
是否有极限?如果有,写出极限的值(不必证明);
(3)试确定一个正整数
,使得当
时,对任意
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b3e09305464f532ebd9c030851b4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93e80e9b45f0ab3b3c67f72a9e32a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bb87deb79a7ccdc02a991fa2788145f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027ff3b50b4e770367c35231c6e4cf95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832fede938e085a2247e540f0f843135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8978869e64ccf247c75fc6a3c71981.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6cde483f0bf2f20adfda6ba91e305b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dbe0909ff7ada1fd4a919abb847c4f8.png)
(2)猜测数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)试确定一个正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1563da7b0f046a469476668a3686e8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57313fdbae9b8e7d8b7f17423a037361.png)
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真题
解题方法
9 . 如图,椭圆的长轴
与x轴平行,短轴
在y轴上,中心为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/3ed9fd99-c37e-4477-bfd6-d8eb42e17367.png?resizew=293)
(1)写出椭圆的方程,求椭圆的焦点坐标及离心率;
(2)直线
交椭圆于两点
;直线
交椭圆于两点
,
.求证:
;
(3)对于(2)中的中的在
,
,
,
,设
交
轴于
点,
交
轴于
点,求证:
(证明过程不考虑
或
垂直于
轴的情形)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473913c0887bb64d386f4c02f1853452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc9076974ebd6331d67055302be8167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e395571ff5d1ea9ea8ceb06522211f89.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/3ed9fd99-c37e-4477-bfd6-d8eb42e17367.png?resizew=293)
(1)写出椭圆的方程,求椭圆的焦点坐标及离心率;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766bc42b7ead98238a339bb4dc42bb51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e9c4ea393bbf064453e91f4800f967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f8af9ce5d927e6f422de42ead6ffb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a060ffc86c94a526d4d1086e5590a4f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea915b7c0562b239ea553b9ed2f9897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6318191342aedeaeeddb0f259ed759b3.png)
(3)对于(2)中的中的在
![](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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8f887360a533f0a25b0b34fb11f0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15abfafc59b6f9f01f3be4db4df797d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8f887360a533f0a25b0b34fb11f0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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真题
10 . 函数
是定义在
上的增函数,满足
且
,在每个区间
上,
的图象都是斜率为同一常数k的直线的一部分.
(1)求
及
的值,并归纳出
的表达式;
(2)设直线
,
,
轴及
的图象围成的梯形的面积为
,记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40232336e78c17b8fad52200f71b24a2.png)
,求
的表达式,并写出其定义域和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31cc0ada3e13a381c1d4186d239ebcf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebff8ae41f28f728a759a4b990273d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71202e43f6e40558126523ccc77d59f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44328a5346f0a5eea5e829cf55954c74.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c25180a82381944e33a5a3545d81b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab56c528a11096103d589b05026e7100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f766f204cf98d973ad5abe03b235e95a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40232336e78c17b8fad52200f71b24a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804ab1fdb8a60edee9bbd2b787fdcac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90cb6e03196a239ac1eff7929a7eb301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3465f50ce6b7704c17846758413f00d5.png)
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