I once heard an Olympic math teacher say: learning math is like a fish like a net; Knowing how to solve a problem is like catching a fish and mastering the method to solve the problem, just like having a net; So the difference between "learning math well" and "learning math well" lies in whether you have a fish or a net. Mathematics, a thoughtful course, is very logical, so it always gives people the illusion. Geometry in mathematics is very interesting. Each number is interdependent, but it also has its own advantages. Such as a circle. The formula for calculating the area of a circle is S=∏r? Because of different radii, we often make some mistakes. For example, "A pizza with a radius of 9 cm and a pizza with a radius of 6 cm are equal to a pizza with a radius of 15 cm". Proposition, this topic first confuses everyone and gives people an illusion. Using the formula of circular area skillfully makes people have a wrong balance. In fact, a pizza with a radius of 9 cm and a pizza with a radius of 6 cm are not equal to a pizza with a radius of 15 cm, because the area of a pizza with a radius of 9 cm and a pizza with a radius of 6 cm is S=∏r? =9? ∏+6? ∏= 1 17∏, the area of a pizza with a radius of 15cm is S=∏r? = 15? ∏=225∏, so a pizza with a radius of 9 cm and a pizza with a radius of 6 cm are not equal to a pizza with a radius of 15 cm. Mathematics is like a mountain peak, soaring into the sky. I felt relaxed at first, but the higher I climbed, the steeper the peak became, which made people feel scared. At this time, only those who really like mathematics will have the courage to continue climbing. Therefore, people who stand at the peak of mathematics all like mathematics from the heart. Remember, people standing at the foot of the peak can't see the summit.
About "0"
0, can be said to be the earliest human contact number. Our ancestors only knew nothing and existence at first, and none of them was 0, so 0 isn't it? I remember the primary school teacher once said, "Any number minus itself is equal to 0, and 0 means there is no number." This statement is obviously incorrect. As we all know, 0 degrees Celsius on the thermometer indicates the freezing point of water (that is, the temperature of ice-water mixture at standard atmospheric pressure), where 0 is the distinguishing point between solid and liquid water. Moreover, in Chinese characters, 0 means more as zero, such as: 1) fragmentary; A small part. 2) The quantity is not enough for a certain unit ... At this point, we know that "no quantity is 0, but 0 not only means no quantity, but also means the difference between solid and liquid water, and so on."
"Any number divided by 0 is meaningless." This is a "conclusion" about 0 that teachers from primary school to middle school are still talking about. At that time, division (primary school) was to divide a copy into several parts and figure out how many there were in each part. A whole cannot be divided into 0 parts, which is "meaningless". Later, I learned that 0 in a/0 can represent a variable with zero as the limit (the absolute value of a variable is always smaller than an arbitrarily small positive number in the process of change) and should be equal to infinity (the absolute value of a variable is always larger than an arbitrarily large positive number in the process of change). From this, another theorem about 0 is obtained: "A variable whose limit is zero is called infinitesimal".
"Room 203 105 in 2003", although all of them are zeros, they are roughly similar in appearance; They have different meanings. 0 indicator vacancy of 105 and 2003 cannot be deleted. 0 in Room 203 separates "Building (2)" from "House Number". (3) "(that is, Room 8 on the second floor) can be deleted. 0 also means that ...
Einstein once said: "I always think it is absurd to explore the meaning and purpose of a person or all living things." I want to study all the numbers of "existence", so I'd better know the number of "non-existence" first, so as not to become what Einstein called "absurd". As a middle school student, my ability is limited after all, and my understanding of 0 is not thorough enough. In the future, I hope (including action) to find "my new continent" in the "ocean of knowledge".