名校
1 . 函数
图象上不同两点
,
,
,
处的切线的斜率分别是
,
,规定
叫曲线
在点
与点
之间的“弯曲度”,给出以下命题:
(1)函数
图象上两点
、
的横坐标分别为1,2,则
;
(2)存在这样的函数,图象上任意两点之间的“弯曲度”为常数;
(3)设点
、
是抛物线,
上不同的两点,则
;
(4)设曲线
上不同两点
,
,
,
,且
,若
恒成立,则实数
的取值范围是
;
以上正确命题的序号为__ (写出所有正确的)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a54e0b4872cabdc0b07ea9380e4de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a350eb41c3b7e4face9c3299eff9d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8e72f73db207c3040f143d837d5995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24529eadaef974ec0625f8ca40682e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8605ae9897d5d6f0679b4aa80e014bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b3e87e9bb00d9ba09cb5660aebd76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7d70c30402ee0eeaab96cc6eefc0cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63710d6fa1a1d49e2d6c5e01eb6478e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316db967a70305dcd846281b29f421db.png)
(2)存在这样的函数,图象上任意两点之间的“弯曲度”为常数;
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b629bea8e22de9bfc49158e2289871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e830ac46ef256e63a1df50a646ecac.png)
(4)设曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2eff609c6043c2a89a6dd163fe2244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a54e0b4872cabdc0b07ea9380e4de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a350eb41c3b7e4face9c3299eff9d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8e72f73db207c3040f143d837d5995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24529eadaef974ec0625f8ca40682e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08aeab36f3c3546b641470aad464ebd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a77a34f36071ad8c963cfe72f3c465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d8fcaef916db4b90e9ce3054974759.png)
以上正确命题的序号为
您最近一年使用:0次
2020-02-08更新
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513次组卷
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