How to do the problem of Jewish thinking math jumping grids

If you want to develop mathematical thinking, you have to make children love mathematics. The traditional mathematics is more boring, so you can start with interesting mathematics, contain mathematical knowledge in interesting test questions, close to life, reduce the sense of distance, so that children will learn with interest, then the cultivation of mathematical thinking has begun imperceptibly.

The topic is as follows: Xiao Ming: Teacher, how old are you this year?

Teacher: The cube of the teacher's age this year is 4 digits, and the fourth power of this year's age is 6 digits, and the 4 digits and 6 digits will be used, so how old do you say the teacher is this year?

This problem is nothing more than the knowledge points of primary school and junior high school, without any super-outline, and if you are required to solve this problem, then we have to test our mathematical thinking.

First of all, the cube of age is 4 digits, so we have to try to hypothesize the age, for example, the cube of 9 is 729, three digits; The cube of 10 is 1000, which is exactly four digits; The cube of 21 is 9261, four digits; The cube of 22 is 10648, five digits. From here, we can conclude that the age range of the teachers is between 10 and 21.

Then the fourth power of age is 6 digits, similar to the above practice, the fourth power of 17 is 83521, five digits; The fourth power of 18 is 104976, six digits; The fourth power of 21 is 194481, which is also a six-digit number.

Then through the above analysis, we can know that the age range of teachers is between 18-21.

Through this interesting problem, we can see that when solving, we first determine an approximate value range according to the cube is four digits and the fourth power is six digits, and then combine the stem conditions with value test, which is often used in our mathematical problem solving process. Therefore, I hope that when you usually do the problem, you will not only do the problem, but also extract the corresponding solution method from the problem.

Combined with the title, this 4-digit number and 6-digit number will just be used, so it means that there is no duplicate number whether it is a four-digit number or a six-digit number. At this point, we can substitute for the test. The cube of 18 is equal to 5832, and the fourth power is equal to 104976, which happens to be not repeated.

So 18 is the final correct answer. And the fourth power of 19 is 130321, there are repetitions; The cube of 20 is 80000, with repetitions; The fourth power of 21 is 194481, and there are also repetitions. So it was left out.