名校
解题方法
1 . 倾斜角为锐角
的直线过抛物线
的焦点,与抛物线交于
、
两点,线段
的垂直平分线与
轴交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec6e6ee5ffa5a1a447e630b0d092ee4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec6e6ee5ffa5a1a447e630b0d092ee4.png)
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名校
解题方法
2 . 如图所示的几何体是由正方形
沿直线
旋转90°得到的.设
是圆弧
的中点,
是圆弧
上的动点(含端点),则直线
与平面
所成角的正弦值最大为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8192018a58bb1fe23769a48a4d9042ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb53e0fdf3ebeb96e4f69feacbd80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb10d645970e5860afd3430957fab6c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 在高考的任一考场中,都安排6行5列共30名考生,考号机选,考场使用
卷和
卷两种答卷以防作弊,且每名考生拿到
卷和
卷都是均等的,且相邻考生答卷不相同,甲乙两名同学在同一考场,已知甲乙同列的情况下,则他们都拿到
卷的概率( )
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 过双曲线
:
左焦点为
和点
直线
与双曲线
的交点个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c477e5ade921ffa8377c4719319380ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78c5f0248258372f101f2b6f87abd88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.0 | B.1 | C.2 | D.3 |
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5 . 抛物线
的焦点和准线为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce21531a886c50568b75fd4278f15dcf.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
6 . 等差数列
的前
项和为
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/806473d3b66af15f4d1225b56667b0d2.png)
;
(1)求数列
的通项公式;
(2)
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/806473d3b66af15f4d1225b56667b0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36183db0759eec0e108274d229fcd00b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d005409790b3192705a181b2c8e7dfed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2024-04-15更新
|
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2卷引用:四川省巴中市通江中学2024届高三下学期3月月考数学试题
名校
7 . 如图,在三棱柱
中,
,
,四边形
是菱形.
;
(2)若
,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b09257183a9578be6adf9ad4310e4000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b65798afbc7efaed6d65d0719c3c391.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0af487efe25c906740c70b6616e4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dfb64c679bf4a62e5ee092d8885fc09.png)
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2024-04-13更新
|
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6卷引用:四川省南充高中2023-2024学年高三下学期第十六次月考理科数学
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8 . 已知实数
,
分别满足
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d9d2b52469360ab9e19b6aa6fcb60be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe38514ee2935a8797fa3ca83ac50e54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edf63771c3a911ec51fca3ac2e7cb01.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:四川省成都市石室阳安学校2023-2024学年高三下学期4月月考数学(理)试题
9 . 一组样本数据
的众数为______ ,中位数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729e87b155891c93b478beb3e0102340.png)
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|
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7卷引用:四川省成都市石室阳安学校2023-2024学年高三下学期4月月考数学(理)试题
四川省成都市石室阳安学校2023-2024学年高三下学期4月月考数学(理)试题四川省雅安市2024届高三下学期4月联考数学(理)试题四川省雅安市2024届高三下学期4月联考数学(文)试题甘肃省靖远县2024届高三第三次联考试题三模数学试题(已下线)9.2.3?总体集中趋势的估计——随堂检测(已下线)9.2 用样本估计总体-同步精品课堂(人教A版2019必修第二册)(已下线)专题05 第九章 统计-期末考点大串讲(人教A版2019必修第二册)
名校
解题方法
10 . 双曲线
上一点
到左、右焦点的距离之差为6,
(1)求双曲线
的方程,
(2)已知
,过点
的直线
与
交于
(异于
)两点,直线
与
交于点
,试问点
到直线
的距离是否为定值?若是,求出该定值;若不是,请说明理由,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b9b445242927a1bf30cb82a763af275.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3c9967968279271d8cf1f9444c0ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b569572c8d9bf05d78d3ab741e68bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279563c3c055777ce1aa369a2ef54aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
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