Keywords: palindrome, junior high school, senior one,
This article is suitable for: the first grade of junior high school.
Composition source:
This 350-word composition is about the first grade of junior high school, and its title is Palindrome Phenomenon in Mathematics (math diary). Everyone is welcome to contribute.
Palindrome phenomenon in mathematics
The students all know Li Bai, but he is one of the most famous poets in Tang Dynasty in China. Let's not talk about his poems here, let's talk about his name first. If the word "Li Bai" is reversed, it will become ""or a person named Li. In this way, poems and sentences with both positive and negative meanings can be called palindromes.
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There are many such examples in the history of ancient literature, such as:
Guests come from nature, but guests come from heaven.
Monks visit Yunyin Temple, where they visit monks.
Interestingly, there are similar palindromes in mathematics.
For example:12× 231=132× 2112× 462 = 264× 21.
13 ×34 1= 143×3 1 13×682=286×3 1
……
After careful observation by students, there are certain laws hidden in the above equations: the product of the ten digits of two digits and the hundred digits of three digits in each equation is equal to the product of the single digits of two digits and the single digits of three digits; In addition, the middle digit of the three digits in the equation, that is, the ten digits, is exactly equal to the sum of the single digits and the hundred digits. Take the following equation as an example:
13 ×682=286×3 1
1× 6 = 3× 2，8 = 2+6
Isn't it amazing? Mastering these two characteristics, it is easy to write such equations, so how many can you write? According to experts' statistics, 33 different equations can be obtained.
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In addition, there are some palindromes in the kingdom of mathematics, which are characterized by reading from left to right exactly the same as reading from right to left, such as: 12 1, 34 143, 675323576 and so on.
Even more amazing is that even if two identical numbers are multiplied and three identical numbers are multiplied, palindromes will appear. If you don't believe me, please see:
1 1 × 1 1= 12 1 1 1 1× 1 1 1= 1232 1
1 1 1 1 × 1 1 1 1= 123432 1
1 1 × 1 1× 1 1= 133 1 1 1 1× 1 1 1× 1 1 1= 136763 1
Anyway, you have been impressed by the charm of mathematics. As long as we are brave in exploration and good at research, there will be more and more wonderful mysteries waiting for us!