已知
在点
处的切线与
只有一个公共点,则
的值____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a35c8d19d5e393140fe6720bc3432b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2c90d5b7c4c08d23f39a864d600043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a68f930e2506101c84ff32ddcd3bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2024-05-03 15:22:16
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【推荐1】曲线
在
处的切线与曲线
相切于点P,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_______ ,P的坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7c4adef3485e8ac6e50d1926365327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d1c80afd75aa70b706d6280faa7597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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【推荐2】已知
是定义在
上的奇函数,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893ec3241bbeb7909e5a1ecfb7c1760.png)
__________ ;曲线
在点
处的切线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f5c9804b9f4af3c75f2600efe51e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893ec3241bbeb7909e5a1ecfb7c1760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d494dd08ea05abf7e99261b6f05efc47.png)
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解题方法
【推荐1】抛物线有一条重要性质:从焦点发出的光线,经过抛物线上的一点反射后,反射光线平行于抛物线的轴.如图所示,从抛物线
的焦点
向
轴上方发出的两条光线
分别经抛物线上的
两点反射,已知两条入射光线与
轴所成角均为
,且
,则两条反射光线
之间的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff2912fd8d93b6e692936d95b727c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0a2bac0a8dbccd544b0c86e6eb3847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419a02ae9a415d0c049fe6eab17a814b.png)
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【推荐2】已知抛物线
(其中
)的焦点为
,点
在抛物线上,若
,且
的最小值为
,则点
到抛物线
的准线的距离为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0782718dd8b2e591ef21fc89d1af2fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dab9e79198239cda875305fd6809b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02e268cef864d1c3296e7492cec33a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca78cb19d153cda67dec0dd8fcfce078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482592d5ea697cc7d8a67e3051cdf491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea26c55127480224531a67cbb84f5b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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