What is the relationship between the first frost and persimmon?

In some places in China, people think that red persimmons should be eaten in the first frost season to keep out the cold, while the old people in Quanzhou say that eating persimmons in the first frost will prevent your nose from running. In some places, the explanation of this custom is that it is said that you should eat a shuttlecock on the first frost day, otherwise your lips will crack all winter.

The "first frost" solar term is characterized by cold weather in the morning and evening, hot weather at noon, large temperature difference between day and night, and obvious autumn dryness. On the national average, the first frost is the season with the largest temperature difference between day and night in a year. After entering the first first frost solar term, the cold air activities affecting our country became more and more frequent, and the temperature difference between day and night increased rapidly. Especially in Jiangnan and South China, the temperature fluctuation is more and more obvious; Some areas in northwest and northeast China have shown the scene of "cold wind and fallen leaves" in early winter.