名校
1 .
为平面内一定点,
,
,
与
夹角为
,
,
,
,则
所围成的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d4468fdd6b09858b6f6d814a50c2ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47dd5cb80d13a524058f9d7dac5f239b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2780422eefb9e85b89074a1ba2a159d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433a8c622b44e1aa29e9989e6978dd7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a18f62ab853ee8ea162142373dc747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450dc33f83aec5f1b6471b3e0d0fca76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eeafaa6479bcc807813868a124b56ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
名校
解题方法
2 . 已知数列
满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d01cb54a947465f5640b6c422a049e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
您最近一年使用:0次
2024-03-29更新
|
361次组卷
|
2卷引用:浙江省杭州学军中学紫金港校区2023-2024学年高二上学期期末数学试题
解题方法
3 . 直三棱柱
中,
,
,
,
分别是棱
,
上一点,且
,若三棱锥
的外接球与三棱锥
的外接球外切,则
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157ab96c2f0461f7950c94c707e037cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f73a0ca4e6c794242489066fddb6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c0fd9a8e3c65cc498e577641817b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
您最近一年使用:0次
解题方法
4 . 已知
,
是双曲线C:
的左右焦点,过
作双曲线C的一条渐近线的垂线,垂足为N,直线
与双曲线C交于点
,且
均在第一象限,若
,则双曲线C的离心率是________ .
![](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/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbdbe9a17a23c44cec8c7475c4dc1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef02d2d4013d3d82a7eea017f17bca93.png)
您最近一年使用:0次
解题方法
5 . 已知双曲线
的左焦点为F,过原点的直线l与双曲线C的左、右两支分别交于A,B两点,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63a11419e4d44dce677075e4fcf1138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b108808374d111360b3711fb239749b.png)
您最近一年使用:0次
名校
6 . 已知
,若方程
有四个根
,且
,则
的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a74bbe81fe73c22f7f834eb63b6eeaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9c6e8adb2580204c195e2321f91895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c89fd0e72ec20a3c99ca18ed3ea736.png)
您最近一年使用:0次
名校
解题方法
7 . 已知双曲线
:
的右顶点,右焦点分别为A,F,过点A的直线l与C的一条渐近线交于点P,直线PF与C的一个交点为Q,
,且
,则C的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c857dc9f7befdcc69d64cf96860969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5341177a9587281d5ebb28807ee023a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37375c00701dfa46e62ab52e81e65388.png)
您最近一年使用:0次
2024-03-06更新
|
158次组卷
|
3卷引用:浙江省临平萧山联考2023-2024学年高二上学期期末数学试题
8 . 已知
为坐标原点,F为抛物线C:
的焦点,过点
的直线
交C于A、B两点,直线
、
分别交C于M、N,则
的最小值为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56ab70e602f2e2e291df643ab209162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ea8e3088af7dca11bdeaa2c5475c76.png)
您最近一年使用:0次
解题方法
9 . 若函数有两个零点,则实数
的取值范围是
您最近一年使用:0次
名校
10 . 设函数
,若对任意
,都存在唯一的
,使得
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b205c44a76540af4a129e586e62d4ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b424bbc2f301c0ce92ed914fd49fa98c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728697bd9af445ae7525af9168fdf816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5148c90b6d762234102e5bf5ca4c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次