名校
解题方法
1 . 已知椭圆
的一个焦点与短轴的两端点组成一个正三角形的三个顶点,且椭圆经过点
.
(1)求椭圆
的方程;
(2)若直线
与圆
相切于点
,且交椭圆
于
两点,射线
于椭圆
交于点
,设
的面积与
的面积分别为
.
①求
的最大值;
②当
取得最大值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e829105388311d42b94ca2c2654851de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a988618f213e540defa3d4c35ed7901.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0df0f749bade0fecaf191a409899decc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc341902984fbfe479ccd677b6faa68.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8189f7b0ffe4d20bf0fad43b4ed589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1ddff9c93c234562c44d1808831bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
您最近一年使用:0次
2020-10-19更新
|
1752次组卷
|
6卷引用:四川省成都石室中学2020-2021学年高二上学期10月月考数学理科试题
四川省成都石室中学2020-2021学年高二上学期10月月考数学理科试题江西省丰城中学、高安二中等六校2021届高三1月联考数学(理)试题(已下线)专题04 圆锥曲线(难点)-2020-2021学年高二数学下学期期末专项复习(北师大版2019选择性必修第一册、第二册)重庆市万州第二高级中学2021-2022学年高二下学期入学考试数学试题陕西省西安中学2022-2023学年高二上学期期中理科数学试题河南省周口市太康县2022-2023学年高二上学期期末质量检测数学(文)试题
名校
解题方法
2 . 若函数
在
有两个不同的零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1891a59e16676599947a397e227134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-10-17更新
|
1465次组卷
|
8卷引用:第10练 导数的应用-2021年高考数学(文)一轮复习小题必刷
(已下线)第10练 导数的应用-2021年高考数学(文)一轮复习小题必刷(已下线)第10练 导数的应用-2021年高考数学(理)一轮复习小题必刷(已下线)【南昌新东方】江西省南昌十九中2020-2021学年高三上学期10月第一次月考数学(理)试题江苏省连云港市赣榆智贤中学2020-2021学年高三上学期9月月考数学试题江苏省连云港市2019-2020学年高二下学期期末数学试题卓越高中千校联盟2021届高考终极押题理科数学试题安徽省六安市新安中学2022届高三(重点班)上学期第二次月考理科数学试题(已下线)专题5.5 利用导数研究函数的零点-2021-2022学年高二数学特色专题卷(人教A版2019选择性必修第二册)
3 . 已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff739204ba760216f82a5802e92cb244.png)
左顶点为
,离心率为
,且过点
.
![](https://img.xkw.com/dksih/QBM/2020/10/10/2568028685623296/2569376604782592/STEM/7c153ce2518b468490fe7139e8a7a7ae.png?resizew=168)
(1)求
的方程;
(2)过抛物线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
上一点P的切线
交
于
两点,线段
,
的中点分别为
.求证:对任意
,都存在这样的点P,使得
所在直线平行于
轴.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff739204ba760216f82a5802e92cb244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e454c7161999e2a67138869f59d319b.png)
![](https://img.xkw.com/dksih/QBM/2020/10/10/2568028685623296/2569376604782592/STEM/7c153ce2518b468490fe7139e8a7a7ae.png?resizew=168)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(2)过抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
名校
4 . 若a,b为实数,且
,
,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c5ce1f67e05abb8e91a8ff2c371925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1e57040bd6e4d60aae32a506f6d16f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06a5898a637d65b3f22fb47280e54b8.png)
您最近一年使用:0次
2020-10-10更新
|
1759次组卷
|
4卷引用:浙江省五校2020-2021学年高三上学期第一次联考数学试题
浙江省五校2020-2021学年高三上学期第一次联考数学试题(已下线)【新东方】杭州新东方高中数学试卷319(已下线)专题2-3 导数压轴小题归类(讲+练)-2重庆市万州第二高级中学2021-2022学年高二下学期6月第四次质量检测数学试题
名校
5 . 关于
的不等式
在区间
上恒成立,
的最大值为
,则实数
的取值范围( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf40a20f4bd9ce66c38edde0587523c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493d16a261e909d2faf6b5386b8fa5d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72850427e83ff19a24305783e080b280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76379a3754d13dc2df17408647d73994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-10-10更新
|
3022次组卷
|
5卷引用:江西省南昌市第二中学2021届高三上学期第三次考试数学(理)试题
江西省南昌市第二中学2021届高三上学期第三次考试数学(理)试题(已下线)【南昌新东方】江西省南昌二中2020-2021学年高三上学期10月第一次月考数学(理)试题(已下线)2021年高三数学二轮复习讲练测之练案 专题十八 函数、不等式恒成立问题(文理通用)(已下线)专题4-1 三角函数性质、最值和w小题归类-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)【练】专题3 三角函数的范围(最值)问题(压轴小题)
6 . 我们称满足:
(
)的数列为“
级梦数列”.
(1)若
是“1级梦数列”且
,求
和
的值;
(2)若
是“1级梦数列”且满足
,
,求
的最小值;
(3)若
是“0级梦数列”且
,设数列
的前
项和为
,证明:
(
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc2fa3ec054db237c3dc3f6785253eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d116ca533beba0630be998d6ff1214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930de0d297e940bbf1faab22ff70b8b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79c9c1e08cdce10e202984d1a228c27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc22e7024a7dc8f5e6f7869bf1e41c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bd0954c485ed2b67cfd38f1acf6c75.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199501da83fb2f3062167a17565c17bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea49f8a2b98b542b1ebb2ac813346c90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46514294c73c544d81505d82ecd5a22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
您最近一年使用:0次
7 . 已知无穷数列
,
,
满足:
,
,
,
.记
(
表示
个实数
,
,
中的最大值).
(1)若
,
,
,求
,
的可能值;
(2)若
,
,求满足
的
的所有值;
(3)设
,
,
是非零整数,且
,
,
互不相等,证明:存在正整数
,使得数列
,
,
中有且只有一个数列自第
项起各项均为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36460040ddea4761eee10d537b14a1f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6844fe4d1c900139f36ebf2a9a782c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6856bfc1657012b5f778ec95b8fd0a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e589b5e3174af75615c4e0fd9a06330f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe682301f4353365c95405406797b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c7767875fb53708a9c88c6c70cca31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f85dca6d37fa48a9c42a6481cb3738b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0736457346c11dd6f458418a4f747ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3e32f036aa4ba5547e0d7a95de0dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d45b9569448decf7d1a367020fb99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cd99502cbbadcd585f0fd0b47f096c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d4d802eaa971a74d0ec3af38b80cf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbcbd2a766b7cce3d1e35dd6b6c2530a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9d22d6d70996be38315a1ed664f62e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c264cca2d434effa117b1b1bdd392142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36460040ddea4761eee10d537b14a1f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6844fe4d1c900139f36ebf2a9a782c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
您最近一年使用:0次
8 . 已知数列
是无穷数列,满足
.
(1)若
,
,求
,
,
的值;
(2)求证:“数列
中存在
使得
”是“数列
中有无数多项是1”的充要条件;
(3)求证:存在正整数k,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5bad0e0832bbf42a12f4efc86cfe0e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(2)求证:“数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0fb67a858cf21e675a4be5ae0bc49c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64e4722de7deb7c05ca986166e6eb34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)求证:存在正整数k,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bded46375833efe7c9143aa80f8d64.png)
您最近一年使用:0次
2020-09-13更新
|
1035次组卷
|
3卷引用:2020届北京市中国人民大学附属中学高三上学期期中模拟统练(七)数学试题
2020届北京市中国人民大学附属中学高三上学期期中模拟统练(七)数学试题上海市复旦大学附属中学青浦分校2020届高三下学期开学摸底数学试题(已下线)专题15 数列不等式的证明 微点6 数列不等式的证明综合训练
名校
解题方法
9 . 已知函数
,
.
(1)判断函数
在区间
上的零点的个数;
(2)记函数
在区间
上的两个极值点分别为
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e36533dcead729de6de870950cc3d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f4716b6d4e74cb1209ea8a10db84bb.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3cee5e50ee4f1dfbcf0ff0312fef1b.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3cee5e50ee4f1dfbcf0ff0312fef1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d2fa87868bb2d64c96e0e2b90d0cf6.png)
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9卷引用:2020届四川省宜宾市高三第二次诊断测试理科数学试题
2020届四川省宜宾市高三第二次诊断测试理科数学试题广东省广州市天河外国语学校2019-2020学年高三下学期线上测试数学(理)试题安徽省怀远一中、蒙城一中、淮南一中、颍上一中、涡阳一中2020届高三5月五校联考数学理科试题(已下线)专题21 函数与导数综合-2020年高考数学(理)母题题源解密(全国Ⅰ专版)(已下线)专题20 函数与导数综合-2020年高考数学(文)母题题源解密(全国Ⅰ专版)(已下线)极值点偏移专题03 不含参数的极值点偏移问题江西省新余一中、宜春一中2020-2021学年高二上学期联考数学文科试题(已下线)专题14 导数综合应用的解题模板-学会解题之高三数学万能解题模板【2022版】吉林省实验中学2022-2023学年高三上学期期末数学试题
10 . 已知正六棱锥
,
是侧棱
上一点(不含端点),记直线
与直线
所成角为
,直线
与平面
所成角为
,二面角
的平面角为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4a44d3c1d1bfb48ad0d1f28f1da6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a392d05d3cfcbb438569b1ea9980dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f9bc6bf8ca426813d10b6db2e32d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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4卷引用:2020年浙江省新高考名校交流模拟卷数学试题(一)
2020年浙江省新高考名校交流模拟卷数学试题(一)中学生标准学术能力诊断性测试2020-2021学年高三上学期1月测试理科数学(一卷)试题(已下线)THUSSAT2020-2021学年高三上学期1月诊断性测试理科数学试题(已下线)专题7-2 立体几何压轴小题:角度与动点、体积(讲+练)-1