题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215531-60057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-67478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-39333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215531-60057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-32197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-46061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215533-40344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215533-23594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215533-69617.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-67478.png)
(2)已知点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215533-12119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215534-87055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-67478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215534-87055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215534-55803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215534-23736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215535-80938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215535-22351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215535-37765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215534-23736.png)
(3)作直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215536-24676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215536-69810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215536-50116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215537-12391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215537-39415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215537-12391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215537-81197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215537-48626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-82048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-75100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-54633.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-30122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215539-50712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215539-84813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215539-36727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215540-30976.png)
解析
试题分析:(1)由题意知,在
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215540-88171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215540-86785.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215541-88454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215531-60057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215541-27505.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215533-40344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215541-18983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215541-34516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215542-57849.png)
根据点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215531-60057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-67478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215542-32577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215542-94133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215542-59968.png)
(2)由题意知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215534-23736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215543-19632.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215543-49937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215543-73705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215544-90571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215544-62288.png)
(3)根据
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215536-69810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215544-11470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215544-15247.png)
根据题意可知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215545-32098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215545-51587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215545-32098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215545-17639.png)
把它代入椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215546-61514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215535-80938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215546-32784.png)
由韦达定理得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215546-56265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215546-43562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215547-97884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215547-10899.png)
所以线段
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-82048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215547-63684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215547-48597.png)
注意讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215548-85712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215548-90412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215548-69573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-54633.png)
方法比较明确,运算繁琐些;分类讨论是易错之处.
试题解析:(1)由题意知,在
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215540-88171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215548-73884.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215533-23594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215540-86785.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215541-88454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215531-60057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215541-27505.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215533-40344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215541-18983.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215541-34516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215542-57849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215531-60057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215549-77197.png)
因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215531-60057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-67478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-39333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215542-32577.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215542-94133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215542-59968.png)
所求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-67478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-30122.png)
(2)由(1)知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-67478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215549-58027.png)
由题意知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215534-23736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215545-51587.png)
则其方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215543-19632.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215543-49937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215543-73705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215549-91389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215550-86181.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215534-87055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215532-67478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215550-82544.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215544-62288.png)
所以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215534-23736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215539-50712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215539-84813.png)
(3)由题意知:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215536-69810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215544-11470.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215550-49238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215544-15247.png)
根据题意可知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215545-32098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215545-51587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215545-32098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215545-17639.png)
把它代入椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215546-61514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215535-80938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215546-32784.png)
由韦达定理得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215546-56265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215546-43562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215547-97884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215547-10899.png)
所以线段
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-82048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215547-63684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215547-48597.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215548-85712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215550-18758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-82048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215535-80938.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215551-76678.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215551-99207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215539-36727.png)
(2) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215548-90412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-82048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215551-28391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215552-26615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215552-72912.png)
因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215537-48626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-82048.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215552-18962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215552-78903.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215553-74383.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215553-24210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215553-11002.png)
代入
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215552-78903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215540-30976.png)
综上, 满足条件的实数
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215538-54633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215539-36727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215540-30976.png)
核心考点
试题【已知点在椭圆:上,以为圆心的圆与轴相切于椭圆的右焦点,且,其中为坐标原点.(1)求椭圆的方程;(2)已知点,设是椭圆上的一点,过、两点的直线交轴于点,若, 求直】;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/20191025/20191025215524-10170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215524-84875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215525-53083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215525-48164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215508-97652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215508-31717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215509-41861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215451-13065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215452-88789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215452-89448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215452-33214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215453-45856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215453-36722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215453-85162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215453-31874.png)
(1)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215453-85162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215454-16595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215454-29760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215454-42225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215454-16595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215455-61372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215455-61143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215429-85216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215429-63213.png)
(1)求圆的标准方程;
(2)设点A为圆上一动点,AN
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215429-94673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215430-80264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215430-96363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215430-51339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215431-75983.png)
(3)在(2)的结论下,当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215431-82622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215431-42597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215431-48767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215431-37086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215409-23181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215409-74712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215409-93413.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215410-27683.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215410-55114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215410-27825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215411-31953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215411-22963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215411-53129.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215411-65518.png)
(2)试判断圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215411-53129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215412-70325.png)
(3)在坐标平面上是否存在定点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215412-70752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215411-53129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215412-70752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025215412-70752.png)
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- 9对于易燃易爆有毒有腐蚀性的化学物质,往往会在其包装上贴危险警告标签.下图所列物质与危险警告标签对应错误的是( )A.浓
- 10改革开放30年来,我国对于改革的探索路径,一般来说首先选择一定地区或改革领域开展试点,在对试点进行总结的基础上,对成功经
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- 1_______ English well, one must have a lot practice.A.For spe
- 2.结合语境,将下列句子填入横线处,顺序最恰当的一项是读史使人明智,读诗使人聪慧,演算使人精密,哲理使人深刻,伦理学使人有
- 3武警新疆总队医院院长庄仕华扎根边疆38年,为各民族同胞巡诊26万次,化解民族纠纷60多起,长年资助10多名少数民族失学儿
- 4给下列空格填上适当的数据或单位:中学生的身高1.60 ______,指甲宽约11.0 ______,成人步行速度 ___
- 5We"re all ready to put it into operation. ______, we"re goin
- 6如图,Rt△ACB中,∠ACB=90°,DE∥AB,若∠BCE=30°,则∠A=( )
- 7在命题p的四种形式(原命题、逆命题、否命题、逆否命题)中,真命题的个数记为f(p),已知命题p:“若两条直线l1:a1x
- 8现有如图所示仪器和装置,请回答下列问题:(1)写出A、B、G三种仪器的名称:A、______;B、______;G、__
- 9下图所示区域为地球某日的夜半球。Q为圆心,X点的地理坐标是75ºN,75ºW,Y在赤道上。读下图,完成下列问题。小题1:
- 10测量一螺线管两接线柱之间金属丝的长度。给出器材如下:A、待测螺线管L(符号):绕制螺线管金属丝的电阻率m,电阻 约为20