10-11高三·江苏常州·期末
名校
解题方法
1 . 在平面直角坐标系
中,椭圆
:
的右焦点为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a36aeca2ba23ce5bc2dab928158e62.png)
(
,
为常数),离心率等于0.8,过焦点
、倾斜角为
的直线
交椭圆
于
、
两点.
⑴求椭圆
的标准方程;
⑵若
时,
,求实数
;
⑶试问
的值是否与
的大小无关,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4c9d22ff6c1bb58c4313a40018d612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a36aeca2ba23ce5bc2dab928158e62.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ee36f4cdcef902aa4fa3905cb35dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ab55147ca5c0f958af43b0637ee31b.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
⑴求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
⑵若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bbc6c821f7ab0bfc267a6c5061996f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386406e5437aac324d647f51b8b2e5eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
⑶试问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d92c510c7a614077d2c1cf5f6ce190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ab55147ca5c0f958af43b0637ee31b.png)
![](https://img.xkw.com/dksih/QBM/2011/2/10/1569982764883968/1569982770143232/STEM/f1b1d47c672c4b64bdb8a265db2d5cf1.png)
您最近一年使用:0次
2016-12-02更新
|
2346次组卷
|
6卷引用:2011届江苏省常州市教育学会高三学生学业水平监测数学试卷
(已下线)2011届江苏省常州市教育学会高三学生学业水平监测数学试卷2019届江苏省淮安市淮阴中学高三下学期4月高考模拟数学试题(已下线)2014届高考数学总复习考点引领+技巧点拨第九章第11课时练习卷2015-2016学年江苏省泰兴市一中高二上学期期中考试数学试卷(已下线)专题13 极坐标秒解圆锥曲线 微点1 极坐标秒解圆锥曲线(已下线)2012-2013学年湖北武汉部分重点中学高二下学期期中考试文数学试卷
2010·北京·二模
解题方法
2 . 已知椭圆
和圆
:
,过椭圆上一点P引圆O的两条切线,切点分别为A,B.
![](https://img.xkw.com/dksih/QBM/2013/6/28/1571259842387968/1571259847589888/STEM/a69117e79c5548af95ff12f69faa99e1.png?resizew=328)
(1)(ⅰ)若圆O过椭圆的两个焦点,求椭圆的离心率e的值;
(ⅱ)若椭圆上存在点P,使得
,求椭圆离心率e的取值范围;
(2)设直线AB与x轴、y轴分别交于点M,N,问当点P在椭圆上运动时,
是否为定值?请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf4ab88bc995ac5fc57518930a03c534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef74c4299221a967507c6a179337581a.png)
![](https://img.xkw.com/dksih/QBM/2013/6/28/1571259842387968/1571259847589888/STEM/a69117e79c5548af95ff12f69faa99e1.png?resizew=328)
(1)(ⅰ)若圆O过椭圆的两个焦点,求椭圆的离心率e的值;
(ⅱ)若椭圆上存在点P,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df9b574c6b6a4c878bf425d4fa31d66.png)
(2)设直线AB与x轴、y轴分别交于点M,N,问当点P在椭圆上运动时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad3e95a9b0223e280a9034a91b29fbc.png)
您最近一年使用:0次
10-11高三·江苏常州·期末
3 . 在平面直角坐标系
中,已知双曲线
的焦点到一条渐近线
的距离为4,若渐近线
恰好是曲线
在原点处的切线,则双曲线的标准方程为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e362bcab89be8aa63a380675bf057326.png)
您最近一年使用:0次
10-11高三·江苏常州·期末
4 . 给出下列四个命题:
⑴“直线
∥直线
”的必要不充分条件是“
平行于
所在的平面”;
⑵“直线
平面
”的充要条件是“
垂直于平面
内的无数条直线”;
⑶“平面
∥平面
”是“
内有无数条直线平行于平面
”的充分不必要条件;
⑷“平面
⊥平面
”的充分条件是“有一条与
平行的直线
垂直于
”.
上面命题中,所有真命题的序号为______ .
⑴“直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
⑵“直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df740160690029ac1e730c85f20347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
⑶“平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
⑷“平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
上面命题中,所有真命题的序号为
您最近一年使用:0次
11-12高三上·江苏泰州·期末
5 . 已知椭圆的中心在坐标原点,焦点在
轴上,以其两个焦点和短轴的两个端点为顶点的四边形是一个面积为4的正方形,设
为该椭圆上的动点,C、D的坐标分别是
,则
的最大值为_______
![](https://img.xkw.com/dksih/QBM/2011/11/21/1570357662908416/1570357668093952/STEM/b6c5a899315a43529f7d81897aa69b95.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2011/11/21/1570357662908416/1570357668093952/STEM/6c2e05414dfc4cddae4a3090a2f74748.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e771e89512a51a6e1ebf954b19aab9d.png)
![](https://img.xkw.com/dksih/QBM/2011/11/21/1570357662908416/1570357668093952/STEM/1395821ed9af42de895580fa14941187.png?resizew=83)
您最近一年使用:0次
11-12高三上·江苏泰州·期末
解题方法
6 . 在三棱锥
中,平面
平面
,
为正三角形,
,
,
(1)求
与
所成角的余弦值;
(2)在平面
中求一点
,使得
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0ad6e27ea2d5d028f0f76043ccb1f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7422660f0635be92e11838af5f4b4b5e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)在平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e245440d3761fb4217eaa8dc303fa288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
您最近一年使用:0次