名校
1 . 在平面直角坐标系
中,已知
为圆
上动点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d45ffc2aab28c1a42e70ee3d0a5ca5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7e74305038711eb557a91bcf955c54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a430c41f782c5c12f68a49c5d0cb1ee2.png)
A.34 | B.40 | C.44 | D.48 |
您最近一年使用:0次
2024-04-08更新
|
609次组卷
|
2卷引用:北京市通州区潞河中学2023-2024学年高三下学期第三次模拟数学试卷
2 . 设函数
图象上不同两点
,
处的切线的斜率分别是
,
,规定
(
为线段
的长度)叫做曲线
在点
与点
之间的“弯曲度”,给出以下命题:
①函数
图象上两点
与
的横坐标分别为
和
,则
;
②存在这样的函数,其图象上任意不同两点之间的“弯曲度”为常数;
③设
,
是抛物线
上不同的两点,则
;
④设
,
是曲线
(
是自然对数的底数)上不同的两点
,则
.
其中真命题的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216a00ab257e6d6c8a0e4d1d908999c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d489ef12c21e6700a0549f12c75d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbc07f69ba98d8fb3d53f5e3a1dc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa245bbcfaa0c17f766ba4169fd1d889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ec181e1faf829b07f54e2de21203e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36b353993900a5059dfaabe85314209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f698354c1b813ad39613ac6553d7e5.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/2eaf693219fef9a0e643cd8d01135b20.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/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29418e5014731850c55565b6bf47aa41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311a451abef72e327196ca1760d4123b.png)
②存在这样的函数,其图象上任意不同两点之间的“弯曲度”为常数;
③设
![](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/ddcf8bc52b12910cce971e642d39876f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba38d272d1c86522526a20810761038.png)
④设
![](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/5c236fb686d41d3284583802d271fcb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe7bf9a4602934d0a53dd302010a92b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada19242d82ea101d1e819bd9886b9e3.png)
其中真命题的个数为
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次