名校
1 . 某学校附近有条长500米,宽6米的道路(如图1所示的矩形ABCD),路的一侧划有100个长5米,宽2.5米的停车位(如矩形AEFG),由于停车位不足,放学时段道路拥堵,学校安保处李老师提出一个改造方案,在不改变停车位形状大小、不改变汽车通道宽度的条件下,可通过压缩道路旁边绿化带及改变停车位方向来增加停车位,记绿化带被压缩的宽度
(米),停车位相对道路倾斜的角度度
,其中
.
,求
和
的长;
(2)求d关于
的函数表达式
;
(3)若
,按照李老师的方案,该路段改造后的停车位比改造前增加多少个?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990a3680645f22737907fc1b5b10d99a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb60187001a6a7bbf887d2a233e5e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09463dc187d5b2574170f1566ac4c382.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9088e31e00eaa4e95c1e6717b0c82cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827be85b8f921007a5cf9edb64bd3491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c495fd86e62c3090caba0702bbcffd7.png)
(2)求d关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f74946c4e57365e0de85d277ba8d2a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f2572192cc7ca046e9a3155ef3e56a.png)
您最近一年使用:0次
解题方法
2 . 如图为某野生动物园的一角,
内区域为陆地生物活动区,
内区域为水上动物活动区域.为了满足游客游览需要,现欲在
,上分别选一处
,修建一条贯穿两区域的直路
,
与
相交于点
.若
段,
段每百米修路费用分别为1万元和2万元,已知
,
,
百米,设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/f3c3d17b-3b8d-4161-b918-d941fd879af4.png?resizew=140)
(1)试将修路总费用
表示为
的函数
;
(2)求修路总费用
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef06ea55d6097523a97b23c9804a067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7adbf2ac9198db42fe30be153d2ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f65dbed884e2248ec075655c684aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53f7a61ee81eeb04c343b887b1ed86c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/19619d87ab7daf2a0fb385e9c509b1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8226b8fc00b5c44c559c16bfdb244e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07445aa3909818a3ef93bb01182f545f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f0ffe0c8f57e04a77aa6cfc71846204.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/f3c3d17b-3b8d-4161-b918-d941fd879af4.png?resizew=140)
(1)试将修路总费用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0496f7b645615d6cf59b8a7ec1fb6e.png)
(2)求修路总费用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0496f7b645615d6cf59b8a7ec1fb6e.png)
您最近一年使用:0次
2020-02-21更新
|
822次组卷
|
4卷引用:2020届江苏省徐州一中、如皋中学、宿迁中学高三上学期三校联考数学试题
名校
3 . 已知南北回归线的纬度为
,设地球表面某地正午太阳高度角为
,
为此时太阳直射纬度,
为该地的纬度值,那么这三个量之间的关系是
.当地夏半年
取正值,冬半年
取负值,如果在北半球某地(纬度为
)的一幢高为
的楼房北面盖一新楼,要使新楼一层正午的太阳全年不被前面的楼房遮挡,两楼的距离应不小于______ (结果用含有
和
的式子表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aad0f9ee7a1cf10b1f01c45f42be5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700458c01a7ad031e27d80ed43e9e882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d67c334e8a57dbc02919fd6118a3751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700458c01a7ad031e27d80ed43e9e882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700458c01a7ad031e27d80ed43e9e882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe84f65c9c4345ae5ddcdafa89e7273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdbf9cf0857352c9f4cab7a508d1026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdbf9cf0857352c9f4cab7a508d1026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe84f65c9c4345ae5ddcdafa89e7273.png)
您最近一年使用:0次
2020-02-27更新
|
729次组卷
|
9卷引用:2020届黑龙江省哈尔滨市第三中学高三综合题(一)数学理科试题
2020届黑龙江省哈尔滨市第三中学高三综合题(一)数学理科试题2020届湖南省长沙市长郡中学高三下学期4月第三次适应性考试数学(文)试题(已下线)专题03 三角(第二篇)-备战2020高考数学黄金30题系列之压轴题(新课标版)(已下线)【练】专题5 与三角相关的实际问题(已下线)第04讲 三角函数应用(教师版)-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第一册)(已下线)5.7 三角函数的应用 -2021-2022学年高一数学同步辅导讲义与检测(人教A版2019必修第一册)(已下线)7.4 三角函数的应用(课堂培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)(已下线)第19讲 三角函数的应用-【暑假自学课】2022年新高一数学暑假精品课(人教版2019必修第一册)(已下线)5.7三角函数的应用C卷
真题
4 . 如图,某人在垂直于水平地面
的墙面前的点
处进行射击训练,已知点
到墙面的距离为
,某目标点
沿墙面上的射线
移动,此人为了准确瞄准目标点
,需计算由点
观察点
的仰角
的大小(仰角
为直线
与平面
所成的角),若
,
,
,则
的最大值是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/684ae70b-4829-45f5-9d2f-0c25950efb14.png?resizew=158)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/ddb42c200b01420896071c414174c120.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/7841b8c5699b4abea77f54b22bb2f04f.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/7841b8c5699b4abea77f54b22bb2f04f.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/417bfad46a4a46c19896e8b74d1e3b3d.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/0b2110931f36430ca044c06e7612eca2.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/02d7e63e3a6a42abaa0615ad23ecf93d.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/0b2110931f36430ca044c06e7612eca2.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/7841b8c5699b4abea77f54b22bb2f04f.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/0b2110931f36430ca044c06e7612eca2.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/b5cdf9c5c467479e9263eaa0760acea6.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/cc3249a9aff945f6b875953fe03325bf.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/c44479f5600a4298a9257e9bb3a6a2ea.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/ddb42c200b01420896071c414174c120.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/861f1753247f422591b6b330ad7706d6.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/a2b5cc06c7cb4f5ebf8b2ca3fc22eff6.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/f08eed51c43846c882ad32089f41b713.png)
![](https://img.xkw.com/dksih/QBM/2014/6/20/1571786814783488/1571786820378624/STEM/57585e1f2e7a4dd0b9f82f7d722047b1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/684ae70b-4829-45f5-9d2f-0c25950efb14.png?resizew=158)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 为解决城市的拥堵问题,某城市准备对现有的一条穿城公路MON进行分流,已知穿城公路MON自西向东到达城市中心点O后转向东北方向(即
).现准备修建一条城市高架道路L,L在MO上设一出入口A,在ON上设一出入口B.假设高架道路L在AB部分为直线段,且要求市中心O与AB的距离为10km.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/e6485ac8-6fc3-4af9-a307-ecf8f6b59d3f.png?resizew=250)
(1)求两站点A,B之间距离的最小值;
(2)公路MO段上距离市中心O30km处有一古建筑群C,为保护古建筑群,设立一个以C为圆心,5km为半径的圆形保护区.则如何在古建筑群C和市中心O之间设计出入口A,才能使高架道路L及其延伸段不经过保护区(不包括临界状态)?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce9433909d7423bcb7a2a8dbc410790.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/e6485ac8-6fc3-4af9-a307-ecf8f6b59d3f.png?resizew=250)
(1)求两站点A,B之间距离的最小值;
(2)公路MO段上距离市中心O30km处有一古建筑群C,为保护古建筑群,设立一个以C为圆心,5km为半径的圆形保护区.则如何在古建筑群C和市中心O之间设计出入口A,才能使高架道路L及其延伸段不经过保护区(不包括临界状态)?
您最近一年使用:0次
2020-03-29更新
|
755次组卷
|
3卷引用:【校级联考】江苏省南京金陵中学、海安高级中学、南京外国语学校2019届高三第四次模拟考试数学试题
名校
解题方法
6 . 有一直角转弯的走廊(墙面与顶部都封闭),已知走廊的宽度与高度都是3米,现有不能弯折的硬管需要通过走廊,若不计硬管粗细,则可通过的最大极限长度为______ 米.
您最近一年使用:0次
名校
7 . 如图为某大河的一段支流,岸线
近似满足
∥
宽度为7
圆
为河中的一个半径为2
的小岛,小镇
位于岸线
上,且满足岸线
现计划建造一条自小镇
经小岛
至对岸
的通道
(图中粗线部分折线段,
在
右侧),为保护小岛,
段设计成与圆
相切,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05ec87a17d1ea4a24dbc9baecdad328.png)
![](https://img.xkw.com/dksih/QBM/2018/12/10/2093677814841344/2094565760409600/STEM/01e1b656eb894b80adda6a4256fd0685.png?resizew=202)
(1)试将通道
的长
表示成
的函数,并指出其定义域.
(2)求通道
的最短长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c5c9b9f2ab8d03efc969d452907dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f052d3b8f3d989ebeaee09212f85597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce89b633e5d6bcf9406e3f9208fe06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8720f9ef76abdc14777a9843efdb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05ec87a17d1ea4a24dbc9baecdad328.png)
![](https://img.xkw.com/dksih/QBM/2018/12/10/2093677814841344/2094565760409600/STEM/01e1b656eb894b80adda6a4256fd0685.png?resizew=202)
(1)试将通道
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求通道
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
2018-12-07更新
|
1310次组卷
|
2卷引用:【全国百强校】江苏省清江中学2019届高三第二次教学质量调研数学试题
8 . 如图,在南北方向有一条公路,一半径为100
的圆形广场(圆心为
)与此公路所在直线
相切于点
,点
为北半圆弧(弧
)上的一点,过点
作直线
的垂线,垂足为
,计划在
内(图中阴影部分)进行绿化,设
的面积为
(单位:
),
![](https://img.xkw.com/dksih/QBM/2020/2/24/2406147876872192/2406584251752448/STEM/b47cf668-6825-415c-a805-f95075b6e2c4.png?resizew=207)
(1)设
,将
表示为
的函数;
(2)确定点
的位置,使绿化面积最大,并求出最大面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745e0525a41fe2e2a7739c75a942290b.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe6f6ad331cdd5646a2489668892b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe6f6ad331cdd5646a2489668892b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d7b4bb12628d5ed455d814b8aafa1f.png)
![](https://img.xkw.com/dksih/QBM/2020/2/24/2406147876872192/2406584251752448/STEM/b47cf668-6825-415c-a805-f95075b6e2c4.png?resizew=207)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2374848745e15d9a1b7f96f2c594a6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)确定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2020-02-25更新
|
734次组卷
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4卷引用:专题17 以三角函数为背景的应用题-《巅峰冲刺2020年高考之二轮专项提升》[江苏]
2019高三·全国·专题练习
名校
9 . 如图,某大风车的半径为2米,每12秒旋转一周,它的最低点O离地面1米,点O在地面上的射影为A.风车圆周上一点M从最低点O开始,逆时针方向旋转40秒后到达P点,则点P到点A的距离与点P的高度之和为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/66e4fcea-0588-4a55-b306-52cd84b4ac09.jpg?resizew=190)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/66e4fcea-0588-4a55-b306-52cd84b4ac09.jpg?resizew=190)
A.5米 | B.(4+![]() |
C.(4+![]() | D.(4+![]() |
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2019-01-05更新
|
860次组卷
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6卷引用:3-4 函数y=Asin(ωx+φ)的图象及三角函数模型的简单应用(高效训练)-2019版导学教程一轮复习数学(人教版)
(已下线)3-4 函数y=Asin(ωx+φ)的图象及三角函数模型的简单应用(高效训练)-2019版导学教程一轮复习数学(人教版)上海市2021届高三高考数学押题密卷试题(06)江苏省苏州市相城区陆慕高级中学2021-2022学年高三上学期第二次阶段性诊断测试数学试题福建省泉州市第六中学2024届高三上学期期中数学试题第五章 三角函数 5.7 三角函数的应用(已下线)5.7三角函数的应用B卷
10 . 某单位科技活动纪念章的结构如图所示,
是半径分别为
,
的两个同心圆的圆心,等腰
的顶点
在外圆上,底边
的两个端点都在内圆上,点
,
在直线
的同侧.若线段
与劣弧
所围成的弓形面积为
,
与
的面积之和为
,设
.经研究发现当
的值最大时,纪念章最美观,则当纪念章最美观时,
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048b61a5fb5f420c6d7de88db5bc3aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173bc7a36757d77f01213411edd25241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb43780e23412b117be0747318de29d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ae89bd2dd0a18e1afb5b1a1abd0efd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/ebbc4a85-1c2f-479e-8d10-b295c895df33.png?resizew=179)
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