1 . 已知抛物线
的顶点在原点,焦点
在坐标轴上,点
关于其准线的对称点为
,则
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb13bbc5335efc427f9c619a51dae3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 如图,在四棱锥
中,底面
为菱形,
底面
,
为线段
的中点,
,点
在线段
上(不含端点),再从下面三个条件中选择一个条件作为已知条件.
四点共面 ②
平面
③
∥平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1dcba40b263c1119ea0a36651c7812.png)
(1)求
的值;
(2)求平面
与平面
所成角的余弦值.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ac7fe2f4d4d9dc49fecb0974a4e5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67466c080ea003a711a7e9f5bb3db716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d289a261d24aa6051c005aebafc08fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a10feb936bdeb0d8be1e7cb41b451fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071159cac13097ea0928285bc1be66d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1dcba40b263c1119ea0a36651c7812.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3b1771fbc438ff888bd28bb1dadcee.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffee8b7eff437080a0936d837ceabe95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffafe757b2f1ab1b6bca20e95290304.png)
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3 . 如图,圆和直角梯形
,其中
,且
三点在圆上,则圆的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0bc7133c0760d8e6e8ab10f79dcec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c40e45fdb98b87035089ba2d435eb4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/f036966f-0fb5-40bb-8f0e-158ca8c6fc42.png?resizew=123)
您最近一年使用:0次
解题方法
4 . 记
的内角
的对边分别为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f860519b2d038f2110a5a0df52cfcbb4.png)
(1)若
,求
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba1e7a657ed134e68efd159b606620f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f860519b2d038f2110a5a0df52cfcbb4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18617ef38a8df95ff3d66fa811fd56c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd743cef52911bf275fb737557c6c7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dcfa3e340b3976832d450dd4ae7e7a7.png)
您最近一年使用:0次
5 . 已知
是不同的直线,
是不同的平面,则下列四个结论:
①若
,则
;②若
,则
;
③若
,则
;④若
,则
;
以上结论中,正确的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff2912fd8d93b6e692936d95b727c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474929dd8e89d9ce37448ae72b48d04f.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc93cd177aa4ffb2c7833da94d9c7cc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7436c4348105e53df13549e6517521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b330d69a949d9b55f4b6f18f47e0a37.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3828a8b361ad0e129b40a02a303a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f293f91d0d082ea70a0da457c6f4d5ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f345365fe0a1986b80299f7a99a306.png)
以上结论中,正确的序号是
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解题方法
6 . 数列
共有11项,前11项和为
,且满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87df689b605e7a283b56d454c3736a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287677857a72608594f7202d06680991.png)
A.![]() |
B.![]() |
C.所有符合已知条件的数列![]() ![]() |
D.符合已知条件且满足![]() ![]() |
您最近一年使用:0次
7 . 已知数列
是等比数列,则“存在正整数
,对于
恒成立”是:“
为递减数列”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f26d6c352fb52cbf58fac03232741e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
解题方法
8 . 已知函数
且
是偶函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47fe0c0dfaadad82c9273d1ac0d55cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.2 | D.4 |
您最近一年使用:0次
9 . 已知盒中有4个黑球和2个白球,每次从盒中不放回的随机摸取1个球,直到盒中剩下的球颜色相同就停止摸球
(1)求摸球两次后就停止摸球的概率;
(2)记摸球的次数为随机变量
,求
的分布列和期望.
(1)求摸球两次后就停止摸球的概率;
(2)记摸球的次数为随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
您最近一年使用:0次
10 . 已知圆
,过圆
外一点
作圆的两条切线,切点分别为
,三角形
的面积为
,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab276155617fe201dcc71b5f1b54ab75.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5040d31e784398842b04ed7dd0aacc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次