名校
1 . 在非直角三角形
中,角
的对边分别为
.
(1)若
,且
,判断三角形
的形状;
(2)若
,
(i)证明:
;(可能运用的公式有
)
(ii)是否存在函数
,使得对于一切满足条件的m,代数式
恒为定值?若存在,请给出一个满足条件的
,并证明之;若不存在,请给出一个理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02746ec8e4220d8b4a174d5e9a711ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b1dd07c0571772e96d318f974724810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa949e59d152bdb7d77cd19ac79051f.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18c985cbe661f18eef831dcbc56f9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/889623d5e61054f38a35aedd644c9ff5.png)
(ii)是否存在函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb4068ea539526f142b8d26dbb622be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4977f0df9fe38d488b5926b9d8c23c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb4068ea539526f142b8d26dbb622be.png)
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名校
2 . 在
中,三个内角
,
,
的对边分别为
,
,
,其中
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698b3373fb5ff6c4b9fd617a804a864d.png)
![](https://img.xkw.com/dksih/QBM/2021/5/11/2718789328855040/2771340728098816/STEM/dc4fabf3-1786-418e-87ca-2a00be3ab4bd.png?resizew=219)
(1)求证:
是直角三角形;
(2)设圆
过
,
,
三点,点
位于劣弧
上,
,用
的三角函数表示三角形
的面积,并求
面积最大值.
![](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/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698b3373fb5ff6c4b9fd617a804a864d.png)
![](https://img.xkw.com/dksih/QBM/2021/5/11/2718789328855040/2771340728098816/STEM/dc4fabf3-1786-418e-87ca-2a00be3ab4bd.png?resizew=219)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)设圆
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/513cb0e220a0fed33454151e303bcbe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
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解题方法
3 . 某农场有一块等腰直角三角形的空地
,其中斜边
的长度为200米.为迎接“五一”观光游,欲在边界
上选择一点
,修建观赏小径
,
,其中
,
分别在边界
,
上,小径
,
与边界
的夹角都为
.区域
和区域
内种植郁金香,区域
内种植月季花.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/5c2a50d4-6b2b-416d-bbbc-e1a4064e5560.png?resizew=155)
(1)求证:
为定值;
(2)为深度体验观赏,准备在月季花区域内修建小径
,当
点在何处时,三条小径
的长度和最小?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b81fb655624ff75a5eab94de9b8c8e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d62de810f5160223afa54fd882acb9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e6f84f2a5721303019f158d860cd5b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/5c2a50d4-6b2b-416d-bbbc-e1a4064e5560.png?resizew=155)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bb1548ddc0e5536a35b1bd78c4e7cd.png)
(2)为深度体验观赏,准备在月季花区域内修建小径
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04026908af27f4846c1fc0e1b6e6c5b.png)
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名校
4 . 向量是数学中一个很神奇的存在,它将“数”和“形”完美地融合在一起,在三角形中就有很多与向量有关的结论.
例如,在△ABC中,若O为△ABC的外心,则
,
证明如下:取AB中点E,连接OE,可知OE⊥AB,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6802ef27003ef7cd848fef0c1a49d4.png)
.
利用上述材料中的结论与方法解决下面的问题:
在△ABC中,a,b,c分别内角A,B,C的对边,满足a>c且2bcos A=3c,
,设O为△ABC的外心,
若
,则x-2y=________ .
例如,在△ABC中,若O为△ABC的外心,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407606be418586f81c469557c6af677d.png)
证明如下:取AB中点E,连接OE,可知OE⊥AB,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6802ef27003ef7cd848fef0c1a49d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ddc61d9ebf445ae1b9cf8f5c3ac9c34.png)
利用上述材料中的结论与方法解决下面的问题:
在△ABC中,a,b,c分别内角A,B,C的对边,满足a>c且2bcos A=3c,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3053b7064d4e38994f321586183b7b.png)
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea68288b67c5264c6a6b1aaad0ca9ca5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/84b44bc5-e4f0-4312-9167-3df68d452102.png?resizew=158)
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名校
5 . 已知
,
,
.
(1)记函数
,求函数
取最大值时
的取值范围;
(2)求证:
与
不平行;
(3)设
的三边
、
、
满足
,且边
所对应的角为
,关于
的方程
有且仅有一个实根,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cbfc36c535fd54311d7e7be39a82be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd351d64a36474ff8f3f1eb64ac5d519.png)
(1)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c25f1d401fe5fd8748bb7c89751493b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e82a12f606ee2ee9ee7eff1f805852ac.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/988b7e964e313579ab8869d67d5be007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d28b3145d1fd20a4ab20d9a90fb9c511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2021-07-19更新
|
447次组卷
|
4卷引用:上海市建平中学2020-2021学年高一下学期期末数学试题
上海市建平中学2020-2021学年高一下学期期末数学试题上海市川沙中学2021-2022学年高一下学期期末数学试题(已下线)上海市高一下学期期末真题必刷04-期末考点大串讲(沪教版2020必修二)上海市川沙中学2022-2023学年高二上学期开学考试数学试题
6 . 关于公式sin(α+β)=sinαcosβ+cosαsinβ的证明,前人做过许多探索.对于α,β均为锐角的情形,推导该公式常可以通过构造图形来完成.
(1)填空,完成推导过程(约定:只考虑α,β,α+β均为锐角的情形)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/74832972-d57f-4c50-a998-af69ed5c4481.png?resizew=196)
证明:构造一个矩形如图形1,在这个矩形GHMN中,点P在边MN上,点Q在边GN上,QT⊥HM,垂足为T,∠HPQ=90°,设HQ=1,∠QHP=α,∠PHM=β.
在直角三角形QHP中,QP=sinα,PH=cosα,
在直角三角形PHM中,PM=___________,
在直角三角形QPN中,∠QPN=β,PN=sinαcosβ,
在直角三角形HQT中,QT=___________,
因为QT=PM+PN,所以sin(α+β)=sinαcosβ+cosαsinβ.
(2)请你运用提供的图形和信息(见图形2)完成公式(约定:只考虑α,β均为锐角的情形)的推导.
(1)填空,完成推导过程(约定:只考虑α,β,α+β均为锐角的情形)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/74832972-d57f-4c50-a998-af69ed5c4481.png?resizew=196)
证明:构造一个矩形如图形1,在这个矩形GHMN中,点P在边MN上,点Q在边GN上,QT⊥HM,垂足为T,∠HPQ=90°,设HQ=1,∠QHP=α,∠PHM=β.
在直角三角形QHP中,QP=sinα,PH=cosα,
在直角三角形PHM中,PM=___________,
在直角三角形QPN中,∠QPN=β,PN=sinαcosβ,
在直角三角形HQT中,QT=___________,
因为QT=PM+PN,所以sin(α+β)=sinαcosβ+cosαsinβ.
(2)请你运用提供的图形和信息(见图形2)完成公式(约定:只考虑α,β均为锐角的情形)的推导.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/45cdfb0b-d14f-4cfc-9bf5-fdd541880c43.png?resizew=155)
您最近一年使用:0次
名校
7 . 古希腊数学家普洛克拉斯曾说:“哪里有数学,哪里就有美,哪里就有发现……”,对称美是数学美的一个重要组成部分,比如圆,正多边形……,请解决以下问题:
![](https://img.xkw.com/dksih/QBM/2021/4/28/2709589299273728/2759660379553792/STEM/1eef0c92360245aa8e4c2533a2eebb6e.png?resizew=191)
(1)魏晋时期,我国古代数学家刘徽在《九章算术注》中提出了割圆术:“割之弥细,所失弥少,割之又割,以至于不可割,则与圆合体,而无所失矣”,割圆术可以视为将一个圆内接正n边形等分成n个等腰三角形(如图所示),当n变得很大时,等腰三角形的面积之和近似等于圆的面积,运用割圆术的思想,求
的近似值(结果保留
).
(2)正n边形的边长为a,内切圆的半径为r,外接圆的半径为R,求证:
.
![](https://img.xkw.com/dksih/QBM/2021/4/28/2709589299273728/2759660379553792/STEM/1eef0c92360245aa8e4c2533a2eebb6e.png?resizew=191)
(1)魏晋时期,我国古代数学家刘徽在《九章算术注》中提出了割圆术:“割之弥细,所失弥少,割之又割,以至于不可割,则与圆合体,而无所失矣”,割圆术可以视为将一个圆内接正n边形等分成n个等腰三角形(如图所示),当n变得很大时,等腰三角形的面积之和近似等于圆的面积,运用割圆术的思想,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440ce692fa6eef853b95f4c9ddba9294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(2)正n边形的边长为a,内切圆的半径为r,外接圆的半径为R,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41b98a3d788ea1255c209653fb728d3.png)
您最近一年使用:0次
2021-07-08更新
|
560次组卷
|
4卷引用:江苏省镇江中学2020-2021学年高一下学期期中数学试题
江苏省镇江中学2020-2021学年高一下学期期中数学试题(已下线)数学与文学贵州省黔西南州金成实验学校2021-2022学年高一下学期4月质量监测数学试题(已下线)压轴题三角函数新定义题(九省联考第19题模式)练
名校
解题方法
8 . 在
中,内角
,
,
的对边分别是
,
,
,若
,
.
(1)求角
;
(2)若
为
的角平分线,证明:
.
![](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/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faaeeac3ad7c1946c4ebfb17a49e2e31.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6e1e4294a8d83e0119ac5e91af71d4.png)
您最近一年使用:0次
9 . 已知等边三角形
分别是边
上的三等分点,且
(如图甲),将
沿
折起到
的位置(如图乙),
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/fee79488-59ec-4eb1-9cf0-973366d5735d.png?resizew=399)
(1)求证:
平面
;
(2)若二面角
的大小为
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ab05980824d7403b26cc3d3aa5436f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42218a68301d770accaaefb96b19f8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/fee79488-59ec-4eb1-9cf0-973366d5735d.png?resizew=399)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0285afe567ca0b32f0ccafc30167cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/628d6fc46c651e0c783b81a123a7b229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a98287a302228ece1fa53c5c66c590f.png)
您最近一年使用:0次
名校
10 . 如图,在四棱锥
中,底面
为直角梯形,
,
,
,
,
为正三角形,点
,
分别在线段
和
上,且
.设二面角
为
,且
.
![](https://img.xkw.com/dksih/QBM/2021/6/24/2750004782448640/2781075118645248/STEM/7c97cefa-f451-4d48-b010-78c27ffe43f0.png?resizew=277)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)求三棱锥
的体积.
![](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/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4795ee1f96b430529934e2231b38885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f807fa55d6a411a31cd1c6bc8cffe59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4e32e152097c2dfad9769da74680b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c911b404bbb8f8d5f1470585fa31ad97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e49129bc80bb9b119c94d81deb177f.png)
![](https://img.xkw.com/dksih/QBM/2021/6/24/2750004782448640/2781075118645248/STEM/7c97cefa-f451-4d48-b010-78c27ffe43f0.png?resizew=277)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19129982fd8389238b303e091bd94c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf581b4f42a25087f7eee23a7d66b6.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c5822ecaac92df0e7e2562b5670df5.png)
您最近一年使用:0次
2021-08-07更新
|
1053次组卷
|
2卷引用:江苏省常州市2020-2021学年高一下学期期末数学试题