Carefree Prince In Tang Dynasty
Chapter 565: Analytic geometry
"Oh?" Yuan Tiangang frowned, "His Royal Highness is right, solve all problems?" He subconsciously felt that Li Xin was bragging.
You must know that there are more than thousands of changes in graphics. Sometimes, two very similar graphics have to use completely different ideas to get the answer. In this way, how can there be a general solution?
However, Li Xin nodded and said: "It is indeed all problems."
After speaking, he began to write and draw on paper, showing little by little how to establish the coordinate system, how to mark the coordinates of points, how to calculate the distance between points, and then to the equation of a straight line and the equation of a circle. Equations and so on.
Perhaps it was because of having worked as a tutor in the previous life to earn tuition. Li Xin was familiar with the content when he talked about it, and he was very knowledgeable and easy to understand—Li Xin’s belief is like this, since he took the money, he should do well. The student he tutored at that time really lacked a bit of talent, but he still tried his best to explain the knowledge points clearly and was worthy of the tutoring fees paid by the parents of the students.
God knows how much hair he lost every day to prepare for handouts? Fortunately, the parents of that family were also generous. Seeing that their children's grades had improved under Li Xin's guidance, they generously increased Li Xin's salary, which made Li Xin grateful.
Unexpectedly, when I talked about these things now, Li Xin turned out to be the prince of Datang...It is really hard not to feel good fortune.
Analytic geometry is the abstraction of geometry, which transforms concrete figures into abstract algebraic problems. This is an important change in thinking, and many people will encounter difficulties in the process of this transformation. Li Xin knows this very well, so he intends to elaborate on this point with particular emphasis.
Unexpectedly, after pondering the paper in front of him, Yuan Tiangang sighed: "That's it! Turn the point and the line into a formula, the formula is a line, and the calculated solution is a point... In this way, complicated cuts and fills are avoided... Indeed, all graphics can be transformed in this way."
Li Xin blinked dumbfounded: Damn, does this guy understand so quickly? If this is born in later generations, a proper Qingbei Miao!
Okay, the smarter Yuan Tiangang is, the more he reduces Li Xin's workload. After Li Xin gave a general explanation, Yuan Tiangang quickly understood the core ideas of analytic geometry and mastered the most basic formulas.
Li Xin, who was devoted to explaining, did not notice that in addition to thinking about analytic geometry, Yuan Tiangang couldn't help being a little shocked by the genius idea of the coordinate system. Yes, a genius vision.
A person who can find a specific solution to a certain problem or a certain type of problem is certainly smart, but not necessarily the smartest. The person who is truly smart and truly worthy of being called a genius should be the one who sees through the problem, sums up the core of the problem and gives the solution.
Perhaps the method of using the coordinate system looks stupid and has no sense of beauty, but it is a really feasible way. Although the earliest inventor of this method was actually Descartes, but now...Don't ask, it's Li Xin.
Only then did Yuan Tiangang put away his contempt, and turned to admire Li Xin's victory. He knew that with his own talents, he might be able to make some difficult questions, but for Li Xin, as long as there is enough time, any question is solvable. This gap cannot be calculated.
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