1 . 已知点
,直线
上有且仅有一点
满足
,则
可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7e26bd228679011198cf33e7b8bcb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a646ac0df52f1d728c8fe4659e6675c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e1bd05b71aa0f9f979b0d4cb543ae3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.0 | B.-1 | C.![]() | D.![]() |
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2 . 已知双曲线
,直线
与C交于A,B两点,点P是C上异于A,B的一点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c4ed5a210e7f97bf194e37fd38ad8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3016baf1a9ce777f16ea9ce469b2510.png)
A.C的焦点到其渐近线的距离为![]() |
B.直线![]() ![]() |
C.过C的一个焦点作弦长为4的直线只有1条 |
D.点P到两条渐近线的距离之积为![]() |
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解题方法
3 . 已知双曲线
是关于
轴和
轴均对称的等轴双曲线,且经过点
.
(1)求
的方程;
(2)若
是
上一动点,直线
与
交于B,C两点,证明:
的面积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/4a5bd206c0bafedf0212fa092bca6b28.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2de78b3148620cc740e52edb9a791c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dca1f769904e9fad2af78f7f526197c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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4 . 命题“
是第一象限角”的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fd09fd5c6635ab30c3dc41de1a81a1.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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5 .
为椭圆
上一动点.
(1)结论一:动点M与定点
的距离和M到定直线
的距离的比为定值;
结论二:动点M与定点
的距离和M到定直线
的距离的比为定值;
从以上两结论中任选一个进行证明;
(2)过点
且斜率为正值的直线
交C于点A,过
且与
垂直的直线
与曲线C交于点B,当四边形
在x轴上方时,求其面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22962a2ad892cb6b14ab039a06e8cdc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
(1)结论一:动点M与定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9bece414af7ecb2d796dc8a6f549e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
结论二:动点M与定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e62a44b8712ce4483b8710cda0dc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
从以上两结论中任选一个进行证明;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9bece414af7ecb2d796dc8a6f549e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](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/d6ef6f0e1585b02d72fa399ce262f915.png)
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6 . 已知曲线
的左、右焦点分别为
,倾斜角为
的直线
经过左焦点
.直线
与曲线
的交点为
(
在
轴上方),过点
作
的平分线
的垂线,垂足为
为坐标原点.
(1)若
,求
内切圆的圆心
的横坐标和
的长;
(2)若
,求
的面积和
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab65b3e3f2e925c7073b83c4a74ef5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da8255e035cfd3c2e84f10b236b6fd97.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3531f6214f5f5a46c8e755b6d14597f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3354a200890e00ef01b15a35a44b47e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
您最近一年使用:0次
2024-01-30更新
|
338次组卷
|
3卷引用:河北省邯郸市2023-2024学年高二上学期期末质量检测数学试题
名校
解题方法
7 . 已知抛物线
的焦点为
,准线为
,
是
上除坐标原点
以外的动点,过点
且与
相切的直线
与
轴交于点
,与
轴交于点
,
,垂足为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceb7c718db30bba691fd75385a91ee97.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13b505788d3d02bf232ac637fc3a8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.若点![]() ![]() ![]() |
C.四边形![]() | D.![]() ![]() ![]() |
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2024-01-27更新
|
390次组卷
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2卷引用:河北省沧衡联盟2024届高三上学期期末联考数学试题
8 . 牛顿法求函数
零点的操作过程是:先在x轴找初始点
,然后作
在点
处切线,切线与x轴交于点
,再作
在点
处切线,切线与x轴交于点
,再作
在点
处切线,依次类推,直到求得满足精度的零点近似解为止.设函数
,初始点为
,若按上述过程操作,则所得前n个三角形
,
,……,
的面积和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37bb5bc3331eca0884620014e104b65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0472458c2169cfdae8c2f633b02f5972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791532f9da2174275ef4643e4ab3f382.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0fb5768a7a0765c8d959bd81fbae10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e62eff8a15c94222ebd1f57379d72d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16716eed20f9387ee72d51a15485c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5b8aed34b9a9ee3bd03e6e3c41e7fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb54249d3a646e13cdb28455f9cd9d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174f269ebeda267b10df5b87e4b033b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2392f7f5646eb417eb5426d03008de.png)
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9 . 已知抛物线
的焦点为F,且A,B,C三个不同的点均在
上.
(1)若直线AB的方程为
,且点F为
的重心,求p的值;
(2)设
,直线AB经过点
,直线BC的斜率为1,动点D在直线AC上,且
,求点D的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a9efe4c27ce894634c9e4c737b5fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
(1)若直线AB的方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ba50e25f0d2099dce13f113685d233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acff98078cdd32804d8f1c4efbe2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cda12642d59a5817e8990c43de20535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7711afeb265550ead8321ea2a24d5.png)
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2024-01-18更新
|
608次组卷
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4卷引用:河北省邢台市部分重点高中2023-2024学年高二上学期1月期末数学试题
10 . 已知
、
是椭圆
的左、右顶点,
是直线
上的动点(不在
轴上),
交椭圆于点
,
与
交于点
,则下列说法正确的是( )
![](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/bb76f4cf79bf0299fdc43f14fd5477e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e93309062496a9c6d3dead5a9fa59c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() | B.若点![]() ![]() |
C.![]() | D.点![]() |
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2023-12-26更新
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3卷引用:河北省石家庄市第二中学2023-2024学年高二上学期期末模拟一数学试题