1 . 现有一组互不相同且从小到大排列的数据:
,其中
.为提取反映数据间差异程度的某种指标,今对其进行如下加工:记
,作函数
,使其图像为逐点依次连接点
的折线.
(1)求
和
的值;
(2)设
的斜率为
,判断
的大小关系;
(3)证明:当
时,
;
(4)求由函数
与
的图像所围成图形的面积.(用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82fb4cf459841e547e2d358d392abc0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c8d0474f7d81ef8dbefaacfd5afe7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184ab0d79c05f5ca0254518f669090bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39122971f02da2ac15fff63e55458178.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202f3247f015783652c3b80fb5759f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef9ee0b2b2282c2be75fa875fac18fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90515707a364861cc94ebb7b0d9c5a15.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89f5698f41b542aff4bcebbc81ff92b.png)
(4)求由函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/874781ab5711bff6ee8c9cbad5b3b3dc.png)
您最近一年使用:0次
解题方法
2 . 已知椭圆
的左、右焦点分别为
、
,点P在直线
上且不在x轴上,直线
与椭圆E的交点分别为A、B,直线
与椭圆E的交点分别为C、D.
(1)设直线
、
的斜率分别为
、
,求
的值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e707a7bea901a3af6aef3cd43ac685e3.png)
(2)问直线m上是否点P,使得直线OA,OB,OC,OD的斜率
,
,
,
满足
若存在,求出所有满足条件的点P的坐标
若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19fec115195f8098a290625f7d9e762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d53395f0a95c4343c04c5773fc1147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b741984b445c2bcb6005c24ac82aa829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b55f4ca2d21088854e1aeb040fa950.png)
(1)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b741984b445c2bcb6005c24ac82aa829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b55f4ca2d21088854e1aeb040fa950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f375dc5addedc5f9fbb72d566939c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731f980ccb6f902d460d0ea2920bfe2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d8d6942a114ec814822d36bc74bf671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e707a7bea901a3af6aef3cd43ac685e3.png)
(2)问直线m上是否点P,使得直线OA,OB,OC,OD的斜率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5da2a0ccfb3a967d20ed2272a5768b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59cf9b8f015e9a786037751932bacfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2147a7cbea552fda960d57b54c17b8cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5bbcbce4f4f2518471093a1aac5113d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd63b6a5d48e6d7efb5edb033abaf09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e707a7bea901a3af6aef3cd43ac685e3.png)
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3 . 已知椭圆
:
的左、右焦点分别为
、
,第二象限的点
在椭圆
上,且
,若椭圆
的离心率为
,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/05739577d493cc19852de143d8793670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe2c533dbc23a34518f72f3cb14f330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183b6a0cef4256c9696a5bca31053da5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知曲线
,对坐标平面上任意一点
,定义
,若两点
,
,满足
,称点
,
在曲线
同侧;
,称点
,
在曲线
两侧.
(1)直线
过原点,线段
上所有点都在直线
同侧,其中
,
,求直线
的倾斜角的取值范围;
(2)已知曲线
,
为坐标原点,求点集
的面积;
(3)记到点
与到
轴距离和为
的点的轨迹为曲线
,曲线
,若曲线
上总存在两点
,
在曲线
两侧,求曲线
的方程与实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1a223f00c974493475e896c0ef83f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06a5833b7fb24eee997b686d878f1e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e867bca56c97598dd3adc87cbc8becc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfdf93964db239b8da6bbd87dd09dd78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16a46f03535c5af872fa8fa9f21a431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466e8c438084aef563c6aaeff3bca583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)已知曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b179760c974cea5e424654d523d7416e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b4df06661c071aa7149b4b8a226cc3.png)
(3)记到点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e67fd7156290ed9d211d738116c7d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
5 . 已知拋物线
的焦点为
,过点
的直线与该抛物线交于
、
两点,且
,
为坐标原点,记直线
、
的斜率分别为
、
,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/921b55dcaf33da3c73b03a8fb7f7bb5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.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/9e1efe96e7776f1b5dfa92c295f8d97d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2019-05-12更新
|
1165次组卷
|
5卷引用:【市级联考】山东省济宁市2019届高三二模数学(文)试题
【市级联考】山东省济宁市2019届高三二模数学(文)试题(已下线)【新教材精创】3.3.2+抛物线的简单几何性质(2)-B提高练-人教A版高中数学选择性必修第一册(已下线)【新教材精创】2.7.2+抛物线的几何性质(2)-B提高练-人教B版高中数学选择性必修第一册(已下线)专题3.3 抛物线-《讲亮点》2021-2022学年高二数学新教材同步配套讲练(苏教版2019选择性必修第一册)(已下线)第三章 圆锥曲线的方程(培优必刷卷)-2021-2022学年高二数学上学期同步课堂单元测试(人教A版2019选择性必修第一册)
6 . 已知抛物线
,过点
的直线
交抛物线于
、
两点,设
为坐标原点,点
.
(1)求
的值;
(2)若
,
,
的面积成等比数列,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85dd382fa447b567a9de87cac1990d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b8477b8b189f3be665cffeaf9d12dd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e89a53f50178c2cc44d5150ddbf593c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53502463cc76201000e02df314e58769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8c7c8c8702adfbd6bcacc94a6bc661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ab13ef156d034b710d811e09b0be34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次