名校
解题方法
1 . 如图,直线
垂直于梯形
所在的平面,
,
为线段
上一点,
,四边形
为矩形.
是
的中点,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
平面
;
(2)求直线
与平面
所成角的正弦值:
(3)若点
到平面
的距离为
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deeb439906f6d463c9594b41bc4a9172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc5addb203f4b6985880c4cef3ddc14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5bf51c07144386bd23a422d9ceb140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b489c25405ce48699d4f0a62820bed.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b489c25405ce48699d4f0a62820bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
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3卷引用:江西省南昌市第十中学2023-2024学年高二下学期第二次月考数学试题
名校
解题方法
2 . 已知复数
满足
,则
在复平面内对应的点位于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5240e9c871d8a6ddc6297eab74c548aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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2024-06-13更新
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1310次组卷
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6卷引用:江西省南昌市外国语学校2023-2024学年度高一下学期5月份月考数学试卷
江西省南昌市外国语学校2023-2024学年度高一下学期5月份月考数学试卷山东省烟台市2024年高考适应性练习(二模)数学试题2024届山东省德州市高考二模数学试题(已下线)高一第二学期第三次月考(范围:第9~14章)-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)专题03 第七章 复数-期末考点大串讲(人教A版2019必修第二册)江苏省扬州市新华中学2023-2024学年高一下学期5月月考数学试题
3 . 为响应国家“乡村振兴”号召,农民老王拟将自家一块直角三角形地按如图规划成3个功能区:
区域为荔枝林和放养走地鸡,
区域规划为“民宿”供游客住宿及餐饮,
区域规划为小型鱼塘养鱼供休闲垂钓.为安全起见,在鱼塘
周围筑起护栏.已知
,
,
,
.
的面积是“民宿”
的面积的
倍,求
;
(2)当
为何值时,鱼塘
的面积最小,最小面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cee975a18902203254aa21d541c671f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f30bb9fbf908f410572cd8e1aea0b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/484539f82531c474c7b59925c3c188b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22df79bb3b4df1faf66c311ab80cafdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05effe5f6df55d0204ce1d5b070275a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f30bb9fbf908f410572cd8e1aea0b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e520cef3cebf757a24737ffb661834.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e520cef3cebf757a24737ffb661834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
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2024-06-12更新
|
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2卷引用:江西省南昌市江西科技师范大学附属中学2023-2024学年高一下学期第二次月考数学试卷
4 . 已知
是等差数列
的前
项和,若
,
,则数列
的首项
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febb4122ef4e047993a99582cc6ff35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f29cc09b8e077c4e433204d303f1eedd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
A.3 | B.2 | C.1 | D.![]() |
您最近一年使用:0次
2024-06-11更新
|
1383次组卷
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3卷引用:江西省南昌市第十中学2023-2024学年高二下学期第二次月考数学试题
名校
5 . 已知某函数的部分图象如图所示,则下列函数中符合此图象的为( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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3卷引用:江西省南昌市第十中学2023-2024学年高二下学期第二次月考数学试题
解题方法
6 . 如图所示,在棱长为1的正方体
中,点E,F分别是棱BC,
的中点,
是侧面
内一点,若
平面AEF.则线段
长度的最大值与最小值之和为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac822b7a0307d1f9378f9da2f9a44d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e935bb9d7b7115429edbd1e7469af65.png)
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2024-06-11更新
|
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2卷引用:江西省南昌市江西科技师范大学附属中学2023-2024学年高一下学期第二次月考数学试卷
名校
解题方法
7 . 任意一个复数z的代数形式都可写成复数三角形式,即
,其中i为虚数单位,
,
.棣莫弗定理由法国数学家棣莫弗(1667~1754)创立.设两个复数用三角函数形式表示为:
,
,则:
.如果令
,则能导出复数乘方公式:
.请用以上知识解决以下问题.
(1)试将
写成三角形式;
(2)试应用复数乘方公式推导三倍角公式:
;
;
(3)计算:
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a0f4e84ca890b19f1a2d39b9c4d6f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826ff108f47b7dc4dd2e63e14c204a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34f45fe480fe6100c86a13db7ac652f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d74cc1db74efb3bf74930e0ca3621a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b20d6f11c0a25c45c86eced22ec6405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1681d16c04032fcc92d7931524106b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed43030ca376eb5e3331d75f103fc762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785e47874ebcab903e4ac95fbd8f30aa.png)
(1)试将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb232df15bbcb2addccf8d5e7adc4d1f.png)
(2)试应用复数乘方公式推导三倍角公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a47bdf9c678020d1d50082f7bb208557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1266e4d6e189cbd788785b44eb4491d6.png)
(3)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b5976d1eab3219c6be0f3e85b4f406.png)
您最近一年使用:0次
2024-06-07更新
|
696次组卷
|
4卷引用:江西省南昌市江西科技师范大学附属中学2023-2024学年高一下学期第二次月考数学试卷
江西省南昌市江西科技师范大学附属中学2023-2024学年高一下学期第二次月考数学试卷江西省南昌市江西科技学院附中2023-2024学年高一下学期5月份月考数学试卷重庆市育才中学校2023-2024学年高一下学期阶段测试数学试题(已下线)10.3 复数的三角形式及其运算-【帮课堂】(人教B版2019必修第四册)
解题方法
8 . 已知锐角
的三个内角
,
,
的对边分别是
,
,
,且
的面积为
.则下列说法正确的是( )
![](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/2399f71125b424fd17c5da2ae796e5ce.png)
A.![]() |
B.![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() |
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4卷引用:江西省南昌市江西科技师范大学附属中学2023-2024学年高一下学期第二次月考数学试卷
名校
解题方法
9 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be9e5e920df76da0792ecf382fb4266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b3a74bec89aa74fc75261f53d2aec6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:江西省南昌市第十九中学2024届高三下学期第五次模拟考试数学试卷
江西省南昌市第十九中学2024届高三下学期第五次模拟考试数学试卷江苏省南通、扬州、泰州七市2024届高三第三次调研测试数学试题(已下线)期末押题卷02(考试范围:苏教版2019必修第二册)-【帮课堂】(苏教版2019必修第二册)(已下线)专题02 三角恒等变换题型归纳-《期末真题分类汇编》(江苏专用)
名校
10 . 如图,在正三棱柱
中,
,点
分别是棱
,
的中点,点
满足
,其中
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/18/e3be7da2-7c25-416c-b494-8bdc428bb5d4.png?resizew=129)
(1)当
时,求证:
∥平面
;
(2)当
时,是否存在点
使得平面
与平面
的夹角的余弦值是
?若存在,指出点
的位置,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f21c7c194c5bc2986a21fd441c81495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4885cf9af62851cffec98204b238193a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473b7977c33d8eab97bc08361ee03256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a100b95041aa56e3b79d96dfdb5a27ee.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/18/e3be7da2-7c25-416c-b494-8bdc428bb5d4.png?resizew=129)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3e3a793d8df4deb46f456cda72b4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8035fc825a001d7d9a3dacd8271662.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df5935c893580c77ab6fa6eb0a70bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8035fc825a001d7d9a3dacd8271662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83303d3784492506fc44f2b4d6b07bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2024-06-04更新
|
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2卷引用:江西省南昌市第十九中学2024届高三下学期第五次模拟考试数学试卷