名校
1 . 设点
在抛物线
上,已知
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bd426e7e1e65d91394da0b28d49f65.png)
__________ ;若
,则直线
斜率的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ac6188f40414f76bc754dee4a75809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e48b0ba6fbb831b99e0868a3c91cafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a79a4c82b46d2032adfb0659c7434cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bd426e7e1e65d91394da0b28d49f65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee21db6628e4db3f5831370549fa96b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
您最近一年使用:0次
2024-04-03更新
|
576次组卷
|
2卷引用:北京市北师大附属实验中学2024届高三下学期3月零模数学试题
2 . 在平面直角坐标系中, 记
为点
到直线
的距离, 则当
变化时,
的最大值与最小值之差为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39eb343f10b190dcba68fd1e8bb37f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdee4045d21a57f58bdbc7a3183d5f5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85952754cbc607e5a0d01332cd26be83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
A.2 | B.3 | C.4 | D.6 |
您最近一年使用:0次
3 . 已知抛物线
的焦点为
,点
在
上,若
,则
到直线
的距离为:________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32d1cbd3ee6d1a210a8eae153ac5bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7763fe9b98015f0022975a759756d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
您最近一年使用:0次
名校
解题方法
4 . 已知过点
的直线(不过原点)与圆
相切,且在
轴、
轴上的截距相等,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570a136ae27fe3ef6d3e0a4a1624486f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877e32adab7fbed8cfb12eef72ca3e65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-25更新
|
823次组卷
|
2卷引用:北京市通州区潞河中学2023-2024学年高三下学期第三次模拟数学试卷
名校
5 . 边长为2的正方形ABCD,点P在正方形内(含边界),满足
,现有下列结论:
①当点P在线段BD上时,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
②
的取值范围为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
③当点P在线段BD上时,
的最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
④
的最大值为12
则结论中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f2c98c84895030f3dffa92cb25ad20.png)
①当点P在线段BD上时,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
③当点P在线段BD上时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4a1a2a3a3b9d15539501245b48f889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d79576c076958375a4e006dbb9c7e08.png)
则结论中正确的个数是( )
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
名校
6 . 已知直线
,
的斜率分别为
,
,倾斜角分别为
,
,则“
"是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943b765718479c160ba61ec5c6f8c5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e29bf5652f0d4f764c3606efcdb445f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170e5fc5a76c9af942200695e5a54594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d047592bd4e17871fe66f4ba63cf99b6.png)
A.充分而不必要条件 | B.必要而不充分条件 |
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
7 . 已知直线
与圆
交于
两点,则弦
最短时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120101a1f983119e607fc90d3bb993b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393a0e30b023f2a20d366eef481b5eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.2 | B.1 | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-09更新
|
1082次组卷
|
5卷引用:信息必刷卷04(北京专用)
(已下线)信息必刷卷04(北京专用)四川省成都市成实外教育集团2024届高三联考数学文科试题(二)四川省成都市成实外教育集团2024届高三联考数学理科试题(二)四川省绵阳市三台中学校2024届高三下学期三诊模拟数学(文)试题(已下线)2024年高考全国甲卷数学(文)真题平行卷(基础)
名校
解题方法
8 . 已知直线
,直线
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a49961e67e68afd4a31590475b2fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4268305724411b03bc73a0cfa10ae02a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.1 | C.![]() | D.4 |
您最近一年使用:0次
名校
9 . 已知圆
经过点
,且点
到点
的距离为3,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/945066b2767be49535b0f9529649b834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111dc13e1517105f7b1841792f72664d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451fc6e4248b63e70595f23842f06c93.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 折纸既是一种玩具,也是一种艺术品,更是一种思维活动.如图,有一张直径为4的圆形纸片,圆心为
,在圆内任取一点
,折叠纸片,使得圆周上某一点刚好与点
重合,记此时的折痕为
,点
在
上,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f68815ee48560500c184da6f76bced7.png)
A.5 | B.4 | C.3 | D.2 |
您最近一年使用:0次
2024-02-23更新
|
379次组卷
|
7卷引用:信息必刷卷01(北京专用)