解题方法
1 . 斜率为
的直线过抛物线
的焦点,且与C交于A,B两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
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2 . 已知抛物线
(
)与倾斜角为45°的一直线
相切于点
,则该抛物线的焦点坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071d4c1556de22088445f191a80b8a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35603111ec97b0b331c249633a6664e4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知
、
分别为椭圆
:
的左、右焦点,
为椭圆
上一点,以
为圆心,
为半径的圆交
轴于
、
两点,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f57f005a9592ea89ae2a2cee6598c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99bca449e0aaeb2bbcc3b2aa69929b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/3f4dfec890cdfdda355e19463f3be813.png)
A.4 | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 已知
的顶点
和
,顶点A在椭圆
上,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8314b1fdf7dcef270ac0a2567609242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df49179dbfbc8e207aa92fd72060fba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b939a0c044b842cdc258e516a6d1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b118311f6a7b39e9d5921324bbe4c1.png)
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解题方法
5 . 已知椭圆
的左、右焦点分别为
,
,
是椭圆上任意一点,则
面积的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
您最近一年使用:0次
名校
6 . 如图,在三棱柱
中,直线
平面
,平面
平面
.
;
(2)若
,在棱
上是否存在一点
,使二面角
的余弦值为
?若存在,求
的值;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/06ad7c180d6d084ecb25f23cb6fe9b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0671b4776e142e17a79af5b3f0378ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1de5964353beb55c5058b2a431eecaf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9008767d531e72e94dee8452aedca97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c23129f02a89e68ca40c08b32563475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69d166677557cadb3da32b4a7e152e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55abe7008585043c035ade44c9b54398.png)
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2024-01-03更新
|
3478次组卷
|
18卷引用:专题13 空间向量的应用10种常见考法归类(4)
(已下线)专题13 空间向量的应用10种常见考法归类(4)江苏省镇江市第一中学2024届高三上学期1月学情检测调研数学试题(已下线)高二数学开学摸底考 01(人教A版,范围:空间向量与立体几何+直线与圆+圆锥曲线+数列)-2023-2024学年高二数学下学期开学摸底考试卷河北省石家庄市第二中学2023-2024学年高二上学期期末模拟一数学试题四川省雅安市2024届高三一模数学(理)试题四川省遂宁市2024届高三一模数学(理)试题四川省资阳市2024届高三二模数学(理)试题四川省广安市2024届高三一模数学(理)试题四川省眉山市2024届高三一模数学(理)试题江西省赣州市南康中学2024届高三上学期七省联考考前数学猜题卷(六)湖北省黄冈市浠水县第一中学2024届高三上学期期末数学试题陕西省西安中学2024届高三模拟考试(一)数学(理科)试题河南省郑州市宇华实验学校2024届高三下学期开学摸底考试数学试题四川省宜宾市第六中学校2024届高三上学期期末数学(理)试题(已下线)专题05 空间向量与立体几何(分层练)(四大题型+21道精选真题)(已下线)2024年高考数学全真模拟卷06(新题型地区专用)(已下线)重难点12 立体几何必考经典解答题全归类【九大题型】陕西省西安市陕西师范大学附属中学2023-2024学年高三第六次模考数学(理科)试题
名校
7 . 已知平面内两个定点
,
,过动点
作直线
的垂线,垂足为
,且
.
(1)求点
的轨迹E的方程;
(2)若直线
与曲线
交于
两点,且
,
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd99c5000629d7f49499d666e68f40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852b303689c31189cd47bb4a3220f9fa.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/c31db4ef1ecc9f6e21b08ba74ddac86f.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffecff6a416ff88fa84767c40919f1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0d26766290953a9f5f7ad7791e40b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad4f73a1f248acfe2ad194fb6aa17f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
8 . 已知点
为双曲线
的左、右焦点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18465f3f5d9fcd336a25610fa93a34e8.png)
A.双曲线的渐近线方程为![]() |
B.双曲线的离心率为![]() |
C.以线段![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 双曲线
的离心率为
,则其渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-03更新
|
744次组卷
|
3卷引用:专题04 双曲线15种常见考法归类(4)
名校
10 . 如图,在三棱台
中,
平面
,
,
.
(1)证明:
;
(2)若平面
与平面
的夹角的余弦值为
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8bfe2553e852df73185d017c0a62fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7852669d7f32cdad2880e22aaf1d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d793ef38a791019fbb77a89b30b343bc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/b5fd37e2-45eb-4aa2-bc07-5776b01eb7ea.png?resizew=172)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82343ddf8316e0a9a50c21c422bdc930.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d0fba11e798168ad2e6d05215cf69b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa42621cd6793e7f3673fdb49bc3123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
2024-01-03更新
|
1265次组卷
|
3卷引用:专题13 空间向量的应用10种常见考法归类(2)