1 . 已知抛物线
,点
为直线
上一动点,过点
作直线
与
分别切于点
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61557cca4e2f97defc23aeb18b13f724.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03df57efff473b3cfeb8503796b7d6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61557cca4e2f97defc23aeb18b13f724.png)
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2022-08-09更新
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881次组卷
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4卷引用:江西省丰城市第九中学(日新班)2021-2022学年高二下学期期末检测数学试题
解题方法
2 . 定义函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af75f78d2700123b0f3fa5a316505bd.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48988edd4c09235ceb9c70b160d11f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af75f78d2700123b0f3fa5a316505bd.png)
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2022-08-09更新
|
612次组卷
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2卷引用:江西省丰城市第九中学(日新班)2021-2022学年高二下学期期末检测数学试题
名校
解题方法
3 . 已知
的内角
的对边分别为
.
(1)求
的大小;
(2)若
的周长为
,面积为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68234743c07c133d4a4afeb5615954d0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6fc9d4be192bf91fae0bea46a624a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2022-08-09更新
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660次组卷
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2卷引用:江西省丰城市第九中学(日新班)2021-2022学年高二下学期期末检测数学试题
解题方法
4 . 焦点在
轴上且离心率大于
的一个椭圆方程为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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5 . 冬奥组委会为大会招募志愿者,对前来报名者进行专业知识测试,测试合格者录用为志愿者.现有备选题6道,规定每次测试都从备选题中随机挑选出4道题进行测试,至少答对3道题者视为合格.已知甲、乙两人报名参加测试,在这6道题中甲能答对4道,乙能答对每道题的概率均为
,且甲、乙两人各题是否答对相互独立.
(1)分别求甲、乙两人录用为志愿者的概率;
(2)记甲、乙两人中录用为志愿者的人数为
,求
的分布列及
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)分别求甲、乙两人录用为志愿者的概率;
(2)记甲、乙两人中录用为志愿者的人数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5d70111ecc9afa0ce239ed7893824d.png)
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2022-08-09更新
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287次组卷
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2卷引用:江西省丰城市第九中学(日新班)2021-2022学年高二下学期期末检测数学试题
6 . 已知命题
对
,都有不等式
成立;命题
设
,使得
.
(1)若p是真命题,求实数a的取值范围;
(2)若
真,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7ed14eebfeff00a1879479c0ac0878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4738efa6c4dd11be80c8915109a2df9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a46f14100bb6fd4648f13d0b6e0acde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d332c0d14eb0007bf9780d01fee6f0.png)
(1)若p是真命题,求实数a的取值范围;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e82b0235513a5f51e150dc420e8fae.png)
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7 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca75dcb061079c63ff1cc5e0ab4a893.png)
_____________ .参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16025b43de8adc7586db102bd7e4f492.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca75dcb061079c63ff1cc5e0ab4a893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4732fe13220ab20a82f96d65aabc4fb5.png)
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8 . 已知集合
,集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5198719ba9bf13a97e75c93e8417b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505ab447415e7573cbceb3b7bc370798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc1a612716c6f053b7b1419c72d0bac.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 在直角坐标系
中,曲线
的参数方程是
(
是参数).以原点O为极点,以x轴的正半轴为极轴,建立极坐标系,曲线
的极坐标方程是
.
(1)求曲线
的极坐标方程与曲线
的直角坐标方程;
(2)若
交x,y轴分别于点A、B,设P为曲线
上的动点,求
面积的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ab277177ce8522db79c2b7afc81025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949cfc0c45bdc6d335ee308e0d8a2b4a.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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10 . 若定义在
上的函数满足
,则下列不等式一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8601eadccd51c297087e6a10e467f302.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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