"My dear, question 15, I also have difficulty." Yun Bingqing asked humbly. He wouldn't dare to be sloppy anymore.

"Send it!" Bai Yujie said.

He passed the title to Bai Yujie. Two people who love to study each have their own hard work. This is a problem where a polynomial is divisible by another polynomial. Maybe Yun Bingqing saw the problem too simply, he thought that the powers contained in the first and second terms were different, but they could be divisible. He briefly wrote out the calculation process, wrote out the numbers, and then sent them to Bai Yujie.

After Bai Yujie saw it, she thought for a moment and said, "That's not right! Your reasoning process is immature. It shouldn't be done, you rethink it. After she finished speaking, she buried her head in her thoughts, kept calculating, and there was a lot of scratch paper in front of her, but she still didn't have an answer.

Yun Bingqing also counted left and left, but he couldn't figure it out, the time was already midnight, and a pair of people who studied hard were still racking their brains for a difficult problem. Bingqing saw Yu Jie holding her cheeks for a while, drawing on paper with a pen for a while, and patting her head for a while, wanting to get inspiration from it. But the problem is a problem after all, how can they solve their style, this problem seems to be deliberately torturing them. Bingqing saw it in his eyes and was anxious in his heart. He knew that Bai Yujie was busy all day, and finally had a relaxed and happy weekend, and he didn't expect to study public relations with him. He felt unbearable, and felt that this was a kind of torture for Bai Yujie.

Bai Yujie is a strong woman who likes to study, and the more challenging the test questions, the more passionate she will be. No, she was so tired that her back hurt, her neck was sore, her arms were numb, and she still didn't improve, and she was still confused.

Bingqing suddenly slapped his head thoughtfully, and he re-examined the question. He found that there was a fourth power in the former term and not in the second term, so what was going on? So what are they and can be divisible? This shows that the quotient should also be the highest power containing the square. Can we not use normal thinking to answer? Is it possible to use reverse thinking? Bingqing's heart was full of questions.

He wanted to discuss this idea with Yujie. Then he sent a message saying, "You consider that the coefficient of the cubic is 0, and you are thinking backwards?" See if you can fix it? ”

"I also thought about the cubic square." Bai Yujie pondered for a moment and said, "I'll try again!" Bai Yujie then pondered again. She used the substitution method and finally calculated the value of A, but the value of B was at a loss, and she was in a hurry.

Bingqing thought that it would be better to adopt a hypothetical approach, maybe there would be a miracle. He carefully observed the latter and the anterior terms, and after a long time of observation, he finally saw the doorway: in order to multiply a polynomial in the latter term, it must contain a fourth power, and it must be assumed that the polynomial is a second power and a first power. He calculates according to his own assumptions, multiplies the dividing formula with the imaginary polynomial, and expands it. Finally calculated a and

b.

He didn't know if Yu Jie had figured it out at this time? Sent a message asking, "Honey." What are you doing? Slept? ”

"I'm thinking about ????" Yujie said mischievously.

"I've figured it out!" Yun Bingqing said happily.

"Is the answer a definite number?" Bai Yujie asked anxiously.

Yun Bingqing told Yujie his thoughts truthfully, and Bai Yujie was still the second monk who couldn't figure it out, and was in a fog.

Yun Bingqing comforted Yujie and said, "Don't worry. ”

"Send me the answer, I'll see it." Bai Yujie said impatiently.

Yun Bingqing passed it on, but Bai Yujie didn't understand it because of the confusion in the writing. She stood up and stretched, and said, "Sleepy! Depressed, for a topic all night, I still don't understand. ”

"Wait a minute, I'll figure it out right away." Yun Bingqing said.

He lay on the desk and unfolded step by step, merging step by step, and finally calculated the hypothetical numbers.

Bai Yujie waited for Yun Bingqing, looking at his serious learning attitude, and was moved, she couldn't imagine that he was so self-motivated after graduating for many years.

"Huh! I'm asking for it! Yun Bingqing was relieved, threw the pen, spread the books, and danced with his hands.

Seeing Bingqing's elated appearance, he knew that he must have solved it. Bai Yujie was also overjoyed, she said anxiously; "Quick, dear! Send me your answer and I'll take a look. ”

Yun Bingqing sent the calculation results to Yujie. Yujie saw that it was the same as him, and finally solved a heart problem.

"Be careful." Bai Yujie said solemnly.

"Yes! If you are not careful, you can't do anything. Yun Bingqing co-authored.

"You have a point." Bai Yujie agreed with Yun Bingqing's opinion and said.

"All wishes have come true. Now you can sleep peacefully. Yun Bingqing said softly, "Honey, hurry up and sleep!" ”

"No!" Bai Yujie pouted and said.

"Good! Good! Good! Yun Bingqing said repeatedly.

"I want you to stay with me." Bai Yujie said in a coquettish voice.

"I'll be with you! My dear. Yun Bingqing agreed. He knew that Bai Yujie had been studying problems with him all night, and he hadn't talked together at all.

Bai Yujie said with endless interest: "I also consider the problem of the cubic square, there must be a cubic term in the fraction. But no? ”

"Is my hint useful?" Yun Bingqing asked.

"It's reverse thinking, indeed." Bai Yujie said, "You have to start from the cubic side. ”

"Yes! Otherwise, there is no way to calculate it. Bingqing said seriously.

"But I calculated the value of a and took the method of substituting a special value." Bai Yujie said proudly.

"But it's a tough question." Bai Yujie frowned and said, "But it's interesting." I'm up for the challenge. ”

"Maybe we can find a taste of happiness in the challenge." Yun Bingqing said, "When I was in school in the past, sometimes I had to think about a problem for several nights to solve, but that kind of joy was incomprehensible to ordinary people. Only those who work hard can truly appreciate this pleasure.

"I used to stay up all night for a question, even if I dozed off and was criticized in class the next day, but I was very happy." Bai Yujie recalled the past when she was a teenager and said.

"I like your more honest attitude, I like your style." Yun Bingqing said sincerely.

"Mathematics is not serious, rigorous, and rigorous." Bai Yujie said with a serious attitude.

"Hey! In fact, if we can solve a problem in one night, it means that we have gained a lot. Why not? Yun Bingqing said happily.

"In particular, proof questions are impossible to convince without sufficient evidence and logical reasoning." Bai Yujie said thoughtfully.

"Remember your words!" Yun Bingqing humbly accepted her opinion.

"My math is my strength, and geometry is my specialty, and I have received perfect marks many times. If there are any problems in the future, we will study them together. You must know that 100 points and 99 points are completely different. Although it is a difference of one point, when you get 99 points, it means that you still have problems that you don't understand and don't understand. But when you get a perfect score many times, others will think that you are unfathomable, which is a symbol of wisdom. Bai Yujie was full of emotion.

"It makes sense, when I encounter difficult problems in the future, I will think of you first." Yun Bingqing said, "But you're working too hard!" ”

"I like the happiness of overcoming problems, which is something that people who don't study can't experience." Bai Yujie said with a happy expression on her face, "He can make people confident, he can make people happy." That's the biggest takeaway. ”

"Mathematical knowledge, you must learn to think, think independently, thinking is the premise, and you must not rely on others. But you can ask, and after asking, you still have to think. If you learn without thinking, you will be reckless, and if you think without learning, you will die. Bai Yujie taught Bingqing.

Seeing that Bai Yujie had so much knowledge of mathematics, he was very moved, stimulated his potential, and touched his wisdom nerves. I believe that in the future teaching career, with their wisdom and rigorous attitude, students will definitely get ahead and make great achievements.

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