my scientific age

Chapter 41 70 points?
"Hanzhi, in order to thoroughly master trigonometric functions to solve inequalities, your trigonometric function lines, inequalities, and function foundations must be solid. You can't do this question of comparing the size of trigonometric functions and the domain of definition of spherical functions. The reason why you can't do the question is that the knowledge points of the function definition domain and the quadratic function are not solid, as long as the transformation is degraded, it will be obtained immediately."

After three days in a row, a solemn and solemn voice echoed in the empty classroom. Yu Hua sat on the seat with a straight posture, as solemn as a gentleman. Holding a pencil in his right hand, he pointed at the draft book, and moved towards Tan next to him. Qing explained: "The knowledge points you have now are not solid enough, especially functions. During the exam, there are no such basic questions for you to do."

Tutoring Tan Qing's homework was one of the original arrangements.

However, after three days of counseling by Yu Hua, it was found that Tan Qing had a considerable degree of problems, the mathematical foundation was not solid, the functions were not thoroughly mastered, the knowledge was mixed and incomplete, and there was no system and coherence.

Most of the high school arithmetic textbooks in the Republic of China originated from foreign textbooks, which were almost the same as those of later high school mathematics, emphasizing the coherence and system of knowledge.

If the previous knowledge points are not mastered, then the content described later will be completely incomprehensible and must be followed one by one.

Tan Qing's main problem is here.

As the bottom No.3 in the first class of science, Tan Qing's math score is only 60 points, just passing the passing line, which is extremely embarrassing compared with his classmates who have an average math score of 75 points.

60 points pass.

75 points is excellent relative to the overall level.

"In addition, your plane vector also has a considerable problem. This question is obviously a score-giving question. The first sub-question only needs to draw the figure according to the triangle law, and the second sub-question is not finished by directly using the parallelogram law. "

"There is also this definite integral, the area of ​​the curved trapezoid enclosed by the parabola y=2x and the straight line x=2, x=t (t>0), y=0, when the interval [0, t], etc. Divided into n small intervals, how many intervals are i-1? How simple is this question? You just need to insert (n-0) points at equal intervals on [1, t], and put the interval [0, t] Divided into n small sections, each with a length of t/n, won't the answer come out?"

"Definite integral is the key point. When you learned derivatives last semester, did you forget? The integral formula must not be forgotten."

"There is also this question. It is obvious that the derivative is used to find the monotonic interval of the function. It is just that the question is somewhat confusing, and it is essentially unchanged."

With a serious face, Yu Hua kept pointing at the almost blank draft book, explaining each question recorded on it in turn, forcing the helplessness in his heart.

At this moment, he can finally understand the mentality of future math teachers facing a group of scumbags, and give serious lectures. During the exam, all TMs are blank papers, and other than that, at most it is a solution.

"Sorry, classmate Yu Hua, I have caused you trouble." Hearing Yu Hua's meticulous explanation, Tan Qing lowered his head in inferiority, not daring to look up at the large blanks on the desktop and the drafts that were almost all wrong.

There are ten math problems in the draft book, three functions, basic elementary functions, one vector, triangle rule and parallelogram rule, one trigonometric function to solve inequalities, two derivatives, one definite integral, one using derivatives Find the function monotonic interval, one plane geometry and two analytic geometry.

Of the ten questions, Tan Qing got two of them right, and the rest of the questions were either unable to go through the steps, or simply wrote a solution.

"Well, let's start with basic elementary functions. Professor Hua Luogeng said that functions are both the foundation and the most difficult part." Looking at Tan Qing, who was bowing his head, Yu Hua let out a long sigh and rubbed the slightly bloated Forehead, simply clean up the mood.

In the face of such a low profile rich man, what can he do?
It's not just forgiveness like a loving father.

Yu Hua now has two ways to make money. One is to complete the first draft of Yu Hua's version of the wrong math problem set, and the other is to tutor Tan Qing, who is in front of him. Good to earn more tuition fees.

But the question is, why can't Tan Qing do such a simple task?
Hearing Yu Hua's words, Tan Qing felt embarrassed, but full of hope, raised his head and asked curiously, "How do you do it, classmate Yu Hua?"

"Criticize the question." Yu Hua stared at Tan Qing, and after a second, spit out two words.

Decided.

Use the most direct learning method in later generations, the sea question tactics!

Brush questions!

Brush questions all day long!

Stupid birds fly first, and diligence can make up for clumsiness. The main thing is to accumulate experience by brushing the questions, supplemented by explaining the questions. The main thing is to overcome weak knowledge. The more you brush, the more you master.

In the end, the results can be significantly improved.

"Brush questions?" Tan Qing, who thought that Yu Hua had some secret solution, was a little disappointed when he heard Yu Hua's words.

When Yu Hua saw Tan Qing's expression, he knew that the other party did not look down on the simple and crude ultimate tactic of brushing questions, smiled, and said, "Hanzhi, trust me, the little question in a month, you Your grades will improve significantly, at least 70 points."

"70 points?"

Tan Qing's eyes widened in an instant, some doubted that he heard it wrong, swallowed his throat, and stared at Yu Hua: "Is it really 70 points?"

There is no doubt in words, only inconceivable.

What is the concept of 70 points?
From the base of 60 points, improve the whole ten points!
If it is raised to 70 points, Tan Qing's math score will immediately be able to match the middle class and be among the ranks of good grades.

"Hanzhi, believe me, but the process is very difficult." Yu Hua nodded affirmatively, there is a unique and magical power in his words, which makes people choose to believe.

This is confidence.

Tan Qing's eyes showed a hint of desire, which came from the desire of the scumbags. Who doesn't want to enjoy the envy of the classmates, and gritted his teeth: "Okay, Yu Hua, in order to get a score of 70 points, I fought hard!"

"Look at these ten questions first and think back." After Tan Qing's answer, a smile appeared on Yu Hua's face.

Tan Qing's perseverance is definitely not bad, and he also has talent, that is, he likes to go out on errands when he usually listens to lectures, and occasionally he is in a daze. When he comes back to his senses, he can't understand what Mr. Ren said, and the situation of countless high school students in later generations in mathematics class. Exactly.

Now Tan Qing has the confidence to work hard, Yu Hua only needs to prescribe the right medicine.

Let Tan Qing read ten math problems first, and Yu Hua took out a brand new draft book, picked up a pen and quickly wrote one math problem about basic elementary function types.

(End of this chapter)