1 . 以下四个关于圆锥曲线的命题中:
①设A、B为两个定点,k为非零常数,若
,则动点P的轨迹为双曲线;
②抛物线
焦点坐标是
;
③过定圆C上一定点A作圆的动弦AB,O为坐标原点,若
,则动点P的轨迹为椭圆;
④曲线
与曲线
(
且
)有相同的焦点.
其中真命题的序号为______ (写出所有真命题的序号.)
①设A、B为两个定点,k为非零常数,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4562ddd51f544eaff300c9b4638646.png)
②抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315513892f06ef3ce82021d5e0566606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532eff5d4385426065732b3deec31426.png)
③过定圆C上一定点A作圆的动弦AB,O为坐标原点,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a6bb839093992d42c6c813c73ccad2.png)
④曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4e82ca0fbf98b8903c97467acd1d6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69c2e4498e7916dbc05a71fc0c316ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5c9d9221866bca2fd57b9b31100c62.png)
其中真命题的序号为
您最近一年使用:0次
2 . 如图,点
是曲线
上的任意一点,
,
,射线
交曲线
于
点,
垂直于直线
,垂足为点
.则下列判断:①
为定值
;②
为定值5.其中正确的说法是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/60edb08e-5d5c-4687-8920-162fac037a19.png?resizew=199)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2049e67012cc849c6a55d40dbed50d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0af1a9647a129a692715564967a8ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b378e03d75c73c8ca71f991a8c07729a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce21531a886c50568b75fd4278f15dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca909e0bfdc0a931b1969115e5c524a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb18ca54d4b25ddae3a613d91b20d551.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/60edb08e-5d5c-4687-8920-162fac037a19.png?resizew=199)
A.①②都正确 | B.①②都错误 |
C.①正确,②错误 | D.①都错误,②正确 |
您最近一年使用:0次
2020-07-14更新
|
602次组卷
|
5卷引用:上海市徐汇区2019-2020学年高二下学期期末数学试题
上海市徐汇区2019-2020学年高二下学期期末数学试题(已下线)专题5.4 期末考前必做30题(选择题提升版)-2020-2021学年高二数学下学期期末专项复习(沪教版)(已下线)3.3 抛物线-2021-2022学年高二数学同步精品课堂讲+例+测(苏教版2019选择性必修第一册)(已下线)3.3 抛物线沪教版(2020) 选修第一册 同步跟踪练习 期中测试卷
3 . 以下四个命题:①若函数
(x∈R)有大于零的极值点,则实数m>1;②若抛物线
上一点M到焦点的距离为3,则点M到
轴的距离为2;③方程2x2-5x+2=0的两根可分别作为椭圆和双曲线的离心率;④已知函数
在
处取得极大值10,则
的值为
或
.其中真命题的序号为____________ (写出所有真命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fcae7e3e1117e966462690a38ca4d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572613993439232/1572613999386624/STEM/8e6d99d9ba34458e941f429303017d14.png?resizew=191)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572613993439232/1572613999386624/STEM/c2cc37d5a386417e99de4c72d1eb5c3d.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572613993439232/1572613999386624/STEM/e0ec062d96834bb6815c50a842f3c540.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572613993439232/1572613999386624/STEM/dda91ea78441480e9a4987e3ee5af458.png?resizew=24)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572613993439232/1572613999386624/STEM/49b02924f6c148dc8d005b483f63edfd.png?resizew=27)
您最近一年使用:0次