1. Mathematics is an infinite science. -Weil
2. The problem is the core of mathematics. -P.R. halmos
As long as a branch of science can ask a lot of questions, it is full of vitality, while the lack of questions indicates the termination or decline of independent development. -Hilbert
4. Some beautiful theorems in mathematics have the following characteristics: they are easy to be induced from facts, but the proof is extremely hidden. -Gauss
Mathematics is the queen of science, while number theory is the queen of mathematics-Gauss.
6. Mathematical metaphor: Zhi Nuo, an ancient Greek philosopher, is known as the "father of paradox". He has four mathematical paradoxes that have been passed down to this day. He once said a famous saying: "The knowledge of the big circle is a little more than that of the small circle, but because the circumference of the big circle is longer than that of the small circle and the contact surface with the outside world is larger than that of the small circle, I feel more lacking in knowledge and need to study hard."
7. Learn mathematics as a language, learn the usage of each term, and be familiar with the meaning of each symbol.
8. Don't let go of any seemingly simple examples-they are often not that simple or can lead to many knowledge points.
9. Being able to use mathematical formulas does not mean being able to do mathematics.
10, if you are not a genius, you don't want to play games if you want to learn math-you think you have done it, but your math level has not improved with your ability to pass the customs-in fact, you can always remember that learning math makes you better play the big game of "life"!
2. Math story: When Gauss was in elementary school, once after the teacher taught addition, because the teacher wanted to have a rest, he came up with a topic for the students to calculate. The theme is:
1+2+3+ .....+97+98+99+ 100 = ?
The teacher is thinking, now the children must start class! I used this as an excuse to go out, but Gauss stopped me! ! It turns out that Gauss has worked it out. Little friend, do you know how he did it?
Gauss told everyone how he worked it out: add 1 to 100, and add 100 to 1, adding two lines, that is:
1+2+3+4+ .....+96+97+98+99+ 100
100+99+98+97+96+ .....+4+3+2+ 1
= 10 1+ 10 1+ 10 1+ .....+ 10 1+ 10 1+ 10 1+ 10 1
* * * There are one hundred sums 10 1, but the formula is repeated twice, so the answer is equal to < 5050 & gt.
Since then, the learning process of Gauss Elementary School has already surpassed other students, which laid the foundation for his future mathematics and made him a mathematical genius!
3. Mathematical problems:
(1) Add appropriate operation symbols between the following numbers.
1()2()3()4= 1
1()2()3()4()5= 1
1()2()3()4()5()6= 1
1()2()3()4()5()6()7= 1
1()2()3()4()5()6()7()8() = 1
(2) Correct an incorrect symbol.
1+2+3+4+5+6+7+8+9=44
1+2+3+4+5+6+7+8+9=50
1+2+3+4+5+6+7+8+9=86
1+2+3+4+5+6+7+8+9=39
1+2+3+4+5+6+7+8+9=3 1