题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230042-27808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230043-71419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230043-27966.png)
(Ⅰ)求抛物线的标准方程;
(Ⅱ)与圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230043-34017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230043-59763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230043-65644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230044-77383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230044-61836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230044-37099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230044-82177.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230045-97961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230045-41788.png)
解析
试题分析:(Ⅰ) 由题意设抛物线的标准方程,把已知点代入解得抛物线的标准方程;(Ⅱ)先由直线与圆相切得圆心到直线的距离为圆的半径,可得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230045-83703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230045-91242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230046-94862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230045-91242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230043-65644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230044-77383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230046-96648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230045-91242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230046-96648.png)
试题解析:(Ⅰ) 设抛物线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230046-47016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230046-44519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230047-55783.png)
所以抛物线的标准方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230045-97961.png)
(Ⅱ) 因为直线与圆相切, 所以
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230047-93570.png)
把直线方程代入抛物线方程并整理得:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230047-10928.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230047-39431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230047-86912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230048-24818.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230048-80376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230048-34082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230048-69945.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230049-57706.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230049-88115.png)
因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230049-40277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230045-97961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230049-38367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230049-15923.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230047-86912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230048-24818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230050-11696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230050-56333.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230050-39941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230045-41788.png)
核心考点
试题【已知抛物线的顶点在坐标原点,焦点在轴上,且过点.(Ⅰ)求抛物线的标准方程;(Ⅱ)与圆相切的直线交抛物线于不同的两点若抛物线上一点满足,求的取值范围.】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230026-53569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230026-25671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230026-31711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230026-82763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230027-47421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230027-39907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230027-52347.jpg)
(1)求椭圆的离心率
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230028-35167.png)
(2)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230028-97199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230028-32397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230028-49602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230028-63815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230028-97199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230029-60555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230028-63815.png)
方程.
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-58380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-19120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49441.png)
(1)求P点的轨迹方程;
(2)对于x轴上的点M,若满足|
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-58380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230012-77402.png)
A.(-![]() ![]() | B.(![]() ![]() | C.(-![]() ![]() | D.(![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-80735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-49674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-58473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-57942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-25771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-89496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-41796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-31112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-13915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-70049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-93397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-41796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-58473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-57942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-31983.jpg)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-80735.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-36366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-79907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-13915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-79907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-13915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-80735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-47515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-37854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-18994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-63330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-75661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-53579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-62329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-75661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225944-30546.png)
![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225946-46747.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225946-46747.png)
最新试题
- 1方程x2=3x的解是
- 2-x3y+3x2-7的次数是______.
- 3下列各项不是小肠结构与消化功能相适应特点的是( )A.小肠绒毛中有丰富的毛细血管B.小肠长约5~6米C.小肠壁内有肠腺
- 4下列各式计算正确的是A.B.C.D.
- 5粗盐中含有MgCl2、CaCl2等杂质,必须进行分离和提纯后才能用于工业生产和人们的日常生活.粗盐提纯的部分流程如下图:
- 6I want to use the computer. Can you ______? [ ]A. switch
- 7下列属于后天学习行为的是( )A.飞蛾扑火B.蜘蛛结网C.蜜蜂采蜜D.鹦鹉学舌
- 8如图所示,以直角三角形AOC为边界的有界匀强磁场区域,磁感应强度为B,∠A=60°,AO=L,在O点放置一个粒子源,可以
- 9电子游戏是中小学生所喜爱的一种娱乐方式,但是我们不能沉迷其中。 [ ]
- 10在NaCl、MgCl2和MgSO4三种盐配成的混合溶液中,若Na+的浓度为0.1mol/L、Mg2+的浓度为0.25mo
热门考点
- 1下图为铝在元素周期表中的信息和原子结构示意图,由此不能得到的信息是A.铝是地壳中含量最多的金属元素B.铝原子的质子数、核
- 2下列关于世界观、方法论和哲学三者之间的关系的说法错误的是[ ]A、哲学是世界观和方法论的统一B、不同的哲学,世界
- 3My bike is broken. It needs ____. A.to repair B.to be repai
- 4根据汉语提示完成句子。①Let"s play____(运动). It"s good for us.②There are_
- 5水是重要的资源,下列关于水的说法中不正确的是( )A.水是由氢、氧两种元素组成的化合物B.自来水是一种纯净物C.用肥皂
- 6下列搭配不正确的选项是:A.编年体史书——《资治通鉴》B.古巴比伦——楔形文字C.戏剧——《俄狄浦斯王》D.罗贯中——《
- 7(1)用“单线桥”表示下列反应电子转移的方向和数目:2KMnO4+16HCl=2KCl+2MnCl2+5Cl2↑+8H2
- 8读图,S表示太阳,E表示地球,则该图所包括的天体系统层次有[ ]A、一级 B、二级 C、三级 D、四级
- 9在“探究并联电路中电流的规律”的实验中,小湘选用了两个相同的“2.5V 0.3A”小灯泡来做实验.她设计了正确的电路图,
- 10—Would you like camping with me? — I’d like to. But I