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
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2 . 有下列4个说法①集合
,
,若
,则
;②方程
的解的个数为3个;③函数
与函数
的图象关于直线
对称;④
时,函数
的值域为
;其中正确的题号为___________ .(写出所有正确说法的题号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6743951bd814ec23c62deedd5803f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950de74bdd830ab1a59ae9df4abbead7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fbfbddb0c002b577cb3c1fcd0fe62df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9196601de42d17ec364f09a53219ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237d28b87278471c3295845cc45321f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0326c8521834089fc9e0a6db113931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a6e16cdace6adf52ece0656eb370b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7aaace9da4265ad703e4f369240c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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