Mathematics has always been the most troublesome subject for students. In other words, it is a subject that students all over the world have a special headache. Although 1234567890 is only a simple number, when combined with some seemingly simple formulas and theorems and many practical problems, it will produce countless application problems that make people want to hang.

Permutations and combinations, trigonometric functions, geometric applications, and a variety of equations and functions. God knows why there is such a life-seeking subject as mathematics in the world. In the past, Lin Feng had a headache when he saw numbers and application problems, and his head was dizzy when he saw those function symbols and various geometric figures.

But now, as soon as the math paper was sent out, Lin Feng glanced at it and immediately found similar questions and problem-solving methods in his head, some even some mathematical olympiad questions. These Lin Feng ate all of them when he quickly reviewed his memory in the past two days.

"Ah! The paper with a score of 150 has 50 or 60 difficult problems, many of which are Mathematical Olympiads. Moreover, even other questions are not given points. Basically, the examiners have set up answer traps, and they need to be very careful to avoid mistakes. The difficulty of the math paper this time is really not low! "

It took two minutes to sweep the ten page math paper from beginning to end. Lin Feng couldn't help sighing in his heart. And the other candidates, even more can not cry, holding the paper's hands can not help shaking up.

Not only the third examination room where Lin Feng is located, but also the situation in other examination rooms is the same. Almost all candidates are frowning at the examination paper and cordially greeting the 18th generation immediate relatives of the teacher who produced the examination paper.

"Mathematical Olympiad? Various trap questions... Including the Chinese test paper with such high difficulty in the morning, it seems that this time the school deliberately wants to increase the difficulty and ring an alarm before the college entrance examination! "

Qin Yanran, who got the paper, couldn't help but sigh when her swollen eyes swept over the topic on the paper. However, although these problems are difficult and troublesome for her, as long as she is careful and serious, there is no problem.

When Qin Yanran had just finished the examination and was ready to start with the first multiple-choice question, the rustle of the Chinese exam in the morning sounded again.

Rustle

It was the sound of the nib writing rapidly on the paper. In the silent classroom at this time, other candidates had not started writing, but Lin Feng wrote quickly and immediately attracted everyone's attention.

"Is that him again? This Lin Feng, even wrote the math paper so fast? It's probably scribbling again! "

"The questions in front are multiple-choice questions and blank filling questions. With Lin Feng's current answer speed, he should be doing the big questions in the back! Did he finish all the multiple-choice questions in front of him? It's impossible! It's only five minutes since the beginning of the exam. It must be scribbling. If he can do such a difficult paper so quickly and correctly, he'll go against the sky! "

……

Qin Yanran and other examinees have the same doubts. The questions in front of the math paper are multiple-choice questions and blank filling questions, and the big questions that need a lot of formula derivation process and disintegration steps are behind. Lin Feng is now writing big questions quickly, which is obviously doing the big questions behind.

When most people answer questions, they start from scratch, first do the small questions in front of them, and then do the big questions behind them. If Lin Feng is doing big questions now, Qin Yanran guesses that Lin Feng is very likely to write an answer to the multiple-choice questions and blank filling questions in front, and even the steps of the big questions in the back.

"Lin Feng is abandoning himself again! Scribbled the answer! If only he had just read the notebook I gave him! On the first few pages above, I have written down the methods of solving the same type of problems on several papers... "

Now Qin Yanran is angry and helpless to Lin Feng. She blushes. She can only hold a pen, empty all her other thoughts, and concentrate on the paper.

Soon, half an hour had passed for the exam. Some students in the examination room only finished the multiple-choice questions. Half of the better blank filling questions were done and half were left blank. Even the most powerful Qin Yanran began to solve the questions at this time.

But at this time, Lin Feng had only two big questions left on the last page. What is the fun of solving problems? What is the fun of solving math problems? That is, when you see this mathematical problem, the knowledge points and formulas involved in the problem will be automatically recalled in your mind, and you can even completely solve the person's mind and purpose. What you want to investigate is the examinee's mastery of which mathematical knowledge points or formulas and theorems.

At this time, Lin Feng enjoyed this problem-solving process. This happiness is also unspeakable. When doing the multiple-choice questions in front, Lin Feng didn't need to calculate on the draft paper at all. Just after reading the questions, he quickly completed the calculus and substitution verification in his mind, and instantly selected the correct answer from the four alternative answers.

The same is true for the blank filling questions. Lin Feng only needs to read the questions, find the knowledge points and theorem formulas to investigate, and then calculate them quickly according to the method. The answer is naturally ready to come out.

It is to solve problems and application problems, as well as the problems combined with functions, geometry and equations, which are cumbersome and time-consuming. Coupled with the calculation traps deliberately set by some authors, Lin Feng must carefully check the calculation for many times before he can rest assured to write down the accurate problem-solving steps.

Examine questions, think, calculate, answer questions, and write out the steps to solve problems

Lin Feng wrote a beautiful word "solution" at the bottom of the test paper, and then transcribed the correct problem-solving steps line by line. That sense of achievement and happiness is what every student is eager to obtain when making the test paper.

When Lin fengfen wrote quickly, he wrote down the last character on the last comprehensive application problem of Mathematical Olympiad difficulty level, slapped the pen on the table, turned over a total of ten pages, and saw these perfect answers, but there were sweat drops as big as beans and soybeans on his forehead.

"If nothing unexpected happens, my math paper is a full score of 150. Hoo... It turns out that solving math problems is really a sense of achievement. It's great to work out an accurate answer to those difficult problems! "

Lin Feng, who wanted to do the paper again, smiled secretly, wiped the sweat on his forehead, looked around and found that other candidates were still working hard to answer the questions, so he gently raised his hand to the invigilator on the podium and whispered, "teacher! I want to hand in my paper! "