题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112123-47479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112123-70613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112124-47508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112124-17785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112124-37982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112124-91831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-92658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-63369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-34579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-41336.png)
(1)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-45718.png)
(2)证明:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-58955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-95533.png)
(3)若点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112124-91831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-46536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112124-91831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-98816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-79559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-92411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-34976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-79559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-92411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-51191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-49335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-51191.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112128-47191.png)
解析
试题分析:(1)根据双曲线的离心率列方程求出实数
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-45718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112124-91831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112128-97992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-63369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112128-18660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-41336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112128-39591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112128-46344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112129-22167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-63369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-34579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-58955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-95533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-79559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-92411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112129-86673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112129-65954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112129-54112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-62234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-38249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-91592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-32847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-51191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-75758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-51191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-75758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-98816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-99378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-98816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-49335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112131-60830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112131-67589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-51191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-98816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-99378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112131-92036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112131-24199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112131-92168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-51191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-75758.png)
试题解析:(1)根据双曲线的定义可得双曲线的离心率为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112132-33372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112132-59917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112132-51123.png)
故双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-34579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112132-28905.png)
(2)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112124-91831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112128-97992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-63369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112128-18660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112133-96454.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112133-49940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112133-98465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112133-88865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112124-91831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112133-74917.png)
故直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-58955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112134-49657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-95533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112134-38201.png)
因此直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-58955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-95533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112134-22108.png)
由于点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112134-47649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-34579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112134-46862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112135-51700.png)
于是有
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112135-83994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112135-59030.png)
(3)证法一:设点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112135-38373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112136-49948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-98816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-34579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112136-13142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112136-90607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112129-54112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-62234.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-91592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-32847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112136-78198.png)
整理得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112136-94734.png)
由①
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112137-23455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112137-23455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112137-53956.png)
将
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112129-54112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-62234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112137-94112.png)
将⑦代入⑤得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112137-74285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-51191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-75758.png)
证法二:依题意,直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-98816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112131-92036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-98816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-99378.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112137-21545.png)
消去
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112128-39591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112138-86148.png)
因为直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-98816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112125-34579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112136-13142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112136-90607.png)
则有
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112138-88485.png)
设点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112135-38373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-49335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112131-60830.png)
整理得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112138-13714.png)
将②③代入上式得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112138-19521.png)
整理得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112131-67589.png)
因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-51191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112126-98816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-99378.png)
联立④⑤消去
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112131-92036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-75758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112127-51191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112130-75758.png)
核心考点
试题【已知双曲线的中心为原点,左、右焦点分别为、,离心率为,点是直线上任意一点,点在双曲线上,且满足.(1)求实数的值;(2)证明:直线与直线的斜率之积是定值;(3)】;主要考察你对直线方程的概念与直线的斜率等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112120-26437.png)
A.150º | B.120º |
C.60º | D.30º |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112115-98980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112115-84151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112115-84151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112115-98980.png)
A.![]() | B.![]() | C.![]() | D.![]() |
A.40° | B.50° | C.130° | D.140° |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112102-55242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112102-87389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112102-91792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112056-32785.png)
最新试题
- 1— Can I help you, dear? — Yeah, I don"t know a
- 2(1)将一株植物和一只小白鼠放到一个密闭的玻璃罩中(如图)。将此装置放在光下,小白鼠在较长一段时间内不会死亡,这是由于在
- 3Half of the class ________ done most of the work. The left _
- 4______ the sports meeting we held in our school last week wa
- 5《经济日报》载文指出:公共财政支持和谐社会建设,说到底是要妥善解决财政如何促进经济中长期持续较快平稳发展问题。一是构建和
- 6经济因素对人口迁移往往起着重要的作用,但在某一特定的条件下,任何一种因素都有可能是决定性因素。据此回答1~2题。 1、关
- 7努力把我国建设成为资源节约型、环境友好型社会,是我们每位公民应尽的责任和义务。作为青少年,我们要[ ]①自觉树立
- 8一矩形线框置于匀强磁场中,线框平面与磁场方向垂直,先保持线框的面积不变,将磁感应强度在1 s 时间内均匀地增大到原来的两
- 9下列关于电解质溶液的正确判断是 [ ]A.在pH = 12的溶液中,K+、Cl-、HCO3-、Na+可以大量共存
- 10下列说法正确的是 [ ]A.多项式2x﹣1的项是2x,1B.2x3﹣x2+1不是多项式 C.5a﹣3是由5a和﹣
热门考点
- 1NASA’s Mars detector (探测器), Opportunity, succeeded in findin
- 2已知,, 且求函数的最小正周期(2) 当时, 的最小值是-4 , 求此时m的值和函数的最大值, 并求出相应的的值.
- 3(x2+2x)8的展开式x4的系数是______.
- 4下表是我国北纬35°~ 40°之间大陆上四地的气候资料。四地气候相比,大陆性特征最明显的是[ ]A.①
- 5根据提供的实验材料设计并完成pH对酶活性影响的实验。材料用具:试管、量筒、烧杯、酒精灯、温度计、滴管、试管架、三脚架、石
- 6.No sooner____to shine____it clouded over again. A.the sun h
- 7In the past twenty years, the sad father has been to many pl
- 8已知xy=34,则x+yy=______.
- 9—Would you like to go shopping with us? —_____, but I have
- 10下列语句中,没有语病的一项是:( )(4分)A.他们胸怀祖国,放眼世界,大力发扬了敢拼敢搏,终于夺得了冠军。B.今年