名校
1 . 已知圆
,点
是圆
上的一点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccdfd6d3e21084121ea5cd11b6b26e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.圆![]() ![]() |
B.已知![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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2024-06-13更新
|
90次组卷
|
2卷引用:安徽省六安第一中学2024届高三下学期质量检测(三 )数学试卷
名校
解题方法
2 . 已知直线
与
相交于
两点,若
是直角三角形,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe6bfe3b6f3b0d7d0fb49b48472623f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e124866e77f0f2ea81e31b5ef30c9ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c72229b08c676c08a3c7258895375f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.1 或 ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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2024-06-12更新
|
327次组卷
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3卷引用:安徽省合肥市一六八中学2024届高三下学期最后一练数学试题
3 . 抛物线
的焦点为
,准线为直线
,过点
的直线交抛物线于
,
两点,分别过
,
作抛物线的切线交于点
,
于点
,
于点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf39f807af4ea7bec39fe04b60566c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f41843422de1f5a8fbf504950d77827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
A.点![]() ![]() | B.点![]() ![]() |
C.以![]() ![]() | D.![]() ![]() |
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解题方法
4 . 过
的直线
被曲线
所截得的线段长度为
,则直线
的方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58824f9f1ec40ade500d17a72231c8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
5 . 达·芬奇方砖是在正六边形上画了具有视觉效果的正方体图案,如图1,把三片这样的达·芬奇方砖拼成图2的组合,这个组合再转化为图3所示的几何体,图3中每个正方体的棱长为1,E,F为棱
,AB的中点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/25/fd3c49c3-5e41-456e-bea6-0e77d5c08723.png?resizew=377)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/25/fd3c49c3-5e41-456e-bea6-0e77d5c08723.png?resizew=377)
A.点P到直线CQ的距离为2 |
B.直线![]() ![]() |
C.平面![]() ![]() ![]() |
D.平面![]() ![]() ![]() |
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2024·全国·模拟预测
名校
解题方法
6 . 若函数
,点
是曲线
上任意一点,则点
到直线
的距离的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5c55eb5445b1d29f714a02a28e5380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6834ba6de422d87eedd475e419af10fd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-06更新
|
375次组卷
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3卷引用:安徽省六安第一中学2024届高三下学期质量检测(三 )数学试卷
7 . 在一个特定时段内,以点
为中心的7海里以内海域被设为警戒水域,点
正北55海里处有一个雷达观测站
,如图所示.某时刻测得一艘匀速直线行驶的船位于点
北偏东
且与点
相距
海里的位置
,经过40分钟又测得该船已行驶到点
北偏东
(其中
)且与点
相距
海里的位置
.
(2)若该船不改变航行方向继续行驶,判断它是否会进入警戒水域?如果会,大约会在警戒水域行驶多少海里?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270800ba975e87235e8802a631e5f3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05185a60d5d37c5af32ffea71066b1c.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/3fc8683acdb0ff28b06ba96716cf9d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d3413e1978040c5e98cb463464f56f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a196a5dbd7c7661eca3d1fb4af0f3651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若该船不改变航行方向继续行驶,判断它是否会进入警戒水域?如果会,大约会在警戒水域行驶多少海里?
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8 . 已知直线
与圆
相切,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be641602ade6367bdfb8c52cb4f22a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.2 | B.![]() | C.4 | D.![]() |
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9 . 若点
是曲线
上任意一点,点
是直线
上任意一点,下列选项中,
的可能取值有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a64e30d1f0c088f6c09010529173e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知直线
与双曲线
的一条渐近线平行,则
的右焦点到直线
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1552567874ef64c262c5bb4017e122d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19422aafb85bec424449c7bab7f7908c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.2 | B.![]() | C.![]() | D.4 |
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4卷引用:安徽省六安第一中学2024届高三适应性考试数学试题