解题方法
1 . 已知双曲线
的两条渐近线分别为
上一点
到
的距离之积为
.
(1)求双曲线
的方程;
(2)设双曲线
的左、右两个顶点分别为
为直线
上的动点,且
不在
轴上,直线
与
的另一个交点为
,直线
与
的另一个交点为
,直线
与
轴的交点为
,直线
与
的交点为
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be90c9e23235e14631dddbb79127d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4b648d890d05c530961ee4670d09eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920124d08222cbe9660c8c3db7a5d31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11449658adfc07dcf4fc0b25e7ed7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e463e661d45282d927b7596d5ad3b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3896bb7e10246b3b8c33da4c500762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee286d0971983740edc17c0e696edb3.png)
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2 . 已知函数
.
(1)判断函数
在区间
上极值点和零点的个数,并给出证明;
(2)若
恒成立,求实数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b92f828b9e33e68f58882b7b5bf96fb.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96df2e43abe1288ff3aca485424a851.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189717bd2a890f6ac7a419005be368cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
3 . 为了释放学生压力,某校进行了一个投篮游戏.甲、乙两人轮流进行篮球定点投篮比赛每人各投一次为一轮.每人投一次篮,两人中只有1人命中,命中者得1分,未命中者得
分;两人都命中或都未命中,两人均得0分.设甲每次投篮命中的概率为
,乙每次投篮命中的概率为
,且各次投篮结果互不影响.
(1)经过1轮投篮,记甲的得分为
,求
的分布列及数学期望;
(2)用
表示经过第
轮投篮后,甲的累计得分高于乙的累计得分的概率,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)经过1轮投篮,记甲的得分为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5c607987b73502db63f77c9799f4bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fba841ac235df0c80dc3e740de3eca.png)
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4 . 对于数列
,记
,称数列
为数列
的一阶差分数列;记
,称数列
为数列
的二阶差分数列,…,一般地,对于
,记
,规定:
,称
为数列
的
阶差分数列.对于数列
,如果
(
为常数),则称数列
为
阶等差数列.
(1)数列
是否为
阶等差数列,如果是,求
值,如果不是,请说明为什么?
(2)请用
表示
,并归纳出表示
的正确结论(不要求证明);
(3)请你用(2)归纳的正确结论,证明:如果数列
为
阶等差数列,则其前
项和为
;
(4)某同学用大小一样的球堆积了一个“正三棱锥”,巧合用了2024个球.第1层有1个球,第2层有3个,第3层有6个球,…,每层都摆放成“正三角形”,从第2层起,每层“正三角形”的“边”都比上一层的“边”多1个球,问:这位同学共堆积了多少层?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa321950b10e074ed9636a2f45a1a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1b87726fc455bda6b57a6bbf945370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ea6a77537d0cc290f38e2f6879d9e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91bedc5708c3a0fd109a53174902fce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812e3f80ce9ee8d0bdba2d1b846e1fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c04a9e337665339e34c3874a2c5710e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da0ba7c15a05f519d47b5eaf09c0a8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff0dd5f1a1c9399cea2cc938964470d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc2d03374de76c9ba32b90436cd98b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a075be43e898d86fa07e9328978c8b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198cd4d7bf7a133fbc36aee884edf5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)请用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17243bec73e79bab1216123cc094eecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c932d437f90d874026f052d65a8402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(3)请你用(2)归纳的正确结论,证明:如果数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec08af85b4b2f52c85f449611a688d6d.png)
(4)某同学用大小一样的球堆积了一个“正三棱锥”,巧合用了2024个球.第1层有1个球,第2层有3个,第3层有6个球,…,每层都摆放成“正三角形”,从第2层起,每层“正三角形”的“边”都比上一层的“边”多1个球,问:这位同学共堆积了多少层?
您最近一年使用:0次
5 . 在
中,角
,
,
的对边分别为
,
,
,已知
的面积为
.
(1)求
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657d0506099dc70230897bcbc306ce88.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32e2f2d7147cf1699fbfdef9cf4af74.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f458b9d0e32cf2e7dfe4ed5bb591fbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a24a8f5e8fb89381f8add6549170345.png)
您最近一年使用:0次
名校
6 . 如图,在四棱锥
中,底面
是边长为2的正方形,
,
是
的中点,
是线段
上一点,且
平面
,
.
平面
;
(2)求平面
和平面
所成的二面角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26c99c03ac45f879988ef8489c6d9573.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828247a3338571cb0d4ba2a5bf88929c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588690c4a218025937357ffab8d63c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
您最近一年使用:0次
2024-02-20更新
|
317次组卷
|
3卷引用:江苏省镇江市扬中市第二高级中学2023-2024学年高三下学期期初检测数学试题
江苏省镇江市扬中市第二高级中学2023-2024学年高三下学期期初检测数学试题江苏省常州市2023-2024学年高三上学期期末学业水平监测数学试卷(已下线)模块三 专题2 解答题分类练 专题4 空间向量的应用(苏教版)
名校
7 . 为考察药物
对预防疾病
以及药物
对治疗疾病
的效果,科研团队进行了大量动物对照试验.根据
个简单随机样本的数据,得到如下列联表:(单位:只)
(1)依据
的独立性检验,分析药物
对预防疾病
的有效性;
(2)用频率估计概率,现从患病的动物中用随机抽样的方法每次选取
只,用药物
进行治疗.已知药物
的治愈率如下:对未服用过药物
的动物治愈率为
,对服用过药物
的动物治愈率为
.若共选取
次,每次选取的结果是相互独立的.记选取的
只动物中被治愈的动物个数为
,求
的分布列和数学期望.
附:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
药物![]() | 疾病![]() | ||
未患病 | 患病 | 合计 | |
未服用 | ![]() | ![]() | ![]() |
服用 | ![]() | ![]() | ![]() |
合计 | ![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0298d106f2b72aadf3cffce041a25da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)用频率估计概率,现从患病的动物中用随机抽样的方法每次选取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187714e660234f0b72f2b47d3ea685a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![]() | 0.100 | 0.050 | 0.010 | 0.001 |
![]() | 2.706 | 3.841 | 6.635 | 10.828 |
您最近一年使用:0次
2024-02-20更新
|
527次组卷
|
5卷引用:江苏省镇江市扬中市第二高级中学2023-2024学年高三下学期期初检测数学试题
江苏省镇江市扬中市第二高级中学2023-2024学年高三下学期期初检测数学试题(已下线)专题13 成对数据的统计分析(七大题型+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选择性必修第三册)(已下线)8.3 列联表与独立性检验(分层练习,6大题型)-2023-2024学年高二数学同步精品课堂(人教A版2019选择性必修第三册)(已下线)9.2 独立性检验(五大题型)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)(已下线)8.3.2 独立性检验——课后作业(提升版)
名校
解题方法
8 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3aa1e62ceab28a075fb2eb91c0444ab.png)
(1)若函数
与
的图象存在公切线,求a的取值范围
(2)若函数
有两个零点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3aa1e62ceab28a075fb2eb91c0444ab.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3c2be7482719651bcf491949681e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dae74c724114bfeff024dd7b79f5edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbe0bf82a7628e02f3a49e20b458890.png)
您最近一年使用:0次
2023-12-20更新
|
737次组卷
|
3卷引用:江苏省镇江市扬中市第二高级中学2023-2024学年高三下学期期初检测数学试题
名校
9 . 已知直四棱柱
中,底面
为菱形,
,
,
,E为线段
上中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/15/1b504d43-bb0f-4e9c-b55a-d1c8e4425ae3.png?resizew=144)
(1)证明:
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d0fdc5a00ca0e857b89a7e1420df29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/15/1b504d43-bb0f-4e9c-b55a-d1c8e4425ae3.png?resizew=144)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c34b18525831f3eda7bb90be0199b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a935b7d21a103a264b6e96ecf82dbe4a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a935b7d21a103a264b6e96ecf82dbe4a.png)
您最近一年使用:0次
2023-09-13更新
|
684次组卷
|
2卷引用:江苏省镇江市2023-2024学年高三上学期期初考试数学试题
解题方法
10 . 在三棱锥
中,
,
,
,D是
的中点.
(1)求证:平面
平面
;
(2)求二面角
正弦值;
(3)求直线
与平面
所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a94d59dee2d5a8f0425b64b2083825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1dbcbbead87d5001806c85177a87e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07711e84d10a17dc181109450dc72015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1385c59d0fe2bc62fed70a2d13a5e956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/37fa7627-a281-4c75-80d1-45cf13065d56.png?resizew=133)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e39d958bce9f7969e0113f308cb632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4934904f8d01862f3c444f0c39a3827.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4fce8e923062b9779553d6f282895b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af57d63e83ef0e183add10cd6beec65b.png)
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