前两題很明顯，没看懂第三題.

1, imagine two identical and synchronized turkeys going towards each other. Where they meet gives the answer.

2, for uniform temperature, obviously true. If not uniform, forming "properly" two closed curves passing through the point of the lowest temperature and the point of the highest temperature will do. "Properly" here means to keep the temperature along the curve either statically climbing or dropping, that is, never to go up and down the "hills" or "valleys" except for the two points mentioned. Which can be done because of  单值连续 .

3, apparently one can apply 2. for showing the existence of such a molecule ( I still need to think it through), but, imagine the extreme case of two molecules which just switch positions at boiling... which seems to contradict the supposed answer. Perhaps I miss something here.

 

所有跟帖： 

• 想了一下，第三題也許是這樣？ -中间小谢- ♂ (482 bytes) () 11/24/2023 postreply 00:19:32

• Great thoughts on the first one -大酱风度- ♂ (201 bytes) () 11/24/2023 postreply 01:27:49

• 第一题是简单两人相向走题。第二是从极地到赤道，类似第一题得到的点连在一起成曲线，两个半球各有一条。第三题不知道， -dhyang_wxc- ♂ (74 bytes) () 11/24/2023 postreply 06:25:43

• 思路很好，再深入一下就解决了。 -大酱风度- ♂ (0 bytes) () 11/24/2023 postreply 09:16:57

• "Synchronized " just means they start the same time, -中间小谢- ♂ (277 bytes) () 11/24/2023 postreply 08:38:21

• 棒！谢谢确认！ -大酱风度- ♂ (0 bytes) () 11/24/2023 postreply 09:05:03