I can’t do this question in Chapter 5!
The Chinese language exam is probably the least stressful subject. Even if you are a bad student, you can still get a few questions right.
So Chinese is also the most difficult subject to score in the college entrance examination. Students with similar levels have similar scores in Chinese. It is impossible to be like mathematics, where a big question only has a 12-point gap.
After the Chinese language test is over, there will be no mental breakdown like failing to do well in the test. After the candidates come out of the examination room, most of them have a calm expression, and they are not even interested in discussing the questions. .
What the candidates don’t know is that the mathematics test starting at 3pm will make all candidates collapse.
...
The mathematics test is about to begin. Behind Zhang Wei, a candidate wearing glasses shows an expectant expression, gearing up, waiting for the test paper to be handed out, ready to do something hard.
The candidates with glasses probably have relatively good scores in mathematics. Now that they have encountered the subject they are best at, their self-confidence is of course very high.
Exams are just like this. When you encounter a subject that you are good at, you will feel confident and will try to challenge it if you encounter difficulties. But if you are not good at a subject, your morale will weaken by three points first. When you get to the problem, you will be half-hearted.
Finally, the exam bell rang, and the invigilator began to hand out test papers.
When the test paper was handed to the candidate with glasses, there was even a proud smile on his face, as if he was killing a chicken with a sledgehammer.
However, he will soon realize that he is the chicken!
After taking a deep breath, the glasses candidate calmed down and began to answer the questions.
The first question is not difficult, but the calculation is a bit complicated. The glasses candidate spent a little more time and successfully calculated the answer.
The next second question made the glasses candidate frown.
The second question is about polar coordinates. Although the relevant content is introduced in the textbook, it is not included in the college entrance examination syllabus, which means that this question is beyond the syllabus.
Fortunately, the candidate with glasses has good math skills. When the teacher explained this content, he listened carefully, so this question did not explode.
However, after a few questions, he fell into confusion again. This question was about inverse functions and also the content of supercategory.
In the 2003 college entrance examination mathematics and science paper, even if you have solved the first few multiple-choice questions, you will still enjoy the thrill of three consecutive questions on questions 9, 10 and 11.
Question 9, test the inverse function, this is the content of freshman mathematics, super class!
Question 10, test the limit, exceed the syllabus!
Question 11 tests your thinking ability. If you calculate this question step by step, you may not be able to calculate the answer in half an hour, but if you use the elimination method, you can eliminate three in one minute. Answer.
In the tense environment of the college entrance examination, when encountering three consecutive multiple-choice questions, the psychological pressure can be imagined. After passing these three questions, most candidates will basically have a different mentality. Waves explode.
The same is true for the glasses candidate. At this time, his mentality has already had waves.
However, he quickly remembered what the teacher had said: Don’t struggle when you encounter a question you don’t know. Do the questions you will know later first to make sure you get the points you deserve.
So he decided to skip the multiple-choice questions and do the fill-in-the-blank questions first.
You can guess the multiple-choice questions. Even if you don't know how to blindly choose C, you still have a 1/4 chance of guessing correctly. You can't guess the fill-in-the-blank questions and the big questions that follow.
The first two fill-in-the-blank questions are not too difficult and can be solved.
However, the third fill-in-the-blank question, which is the 15th question in the entire test paper, once again stood in front of the candidates with glasses.
"As shown in the picture, a region is divided into 5 administrative districts. The map is now colored. It is required that adjacent areas must not use the same color. There are currently four colors to choose from. How many different coloring methods are there? "The candidate with glasses looked at the picture given in the test paper and fell into deep thought.
The picture layout given in the examination paper is somewhat similar to the positions of the five provinces of XJ, XZ, Qinghai, Gansu and Sichuan. Qinghai is in the middle and the other four provinces are around.
This question is equivalent to marking these five adjacent provinces with four colors, and two adjacent provinces cannot use the same color. How many coloring methods are there in total?
This question tests permutation and combination, and it is the first time in the college entrance examination to test permutation and combination in this way, so it is also considered a "magic question"!
However, for the candidates, the divine questions are used to greet the whole family of the person who asked the question!
After the candidates have experienced the above-mentioned questions, complex calculations, and multiple-choice questions, if they encounter this kind of magical question again, if their mentality can still be stable, I really have to respect you for being a fool!
This is the case for the glasses candidate. At this time, his mentality is already on the verge of collapse.
I finally got through the fill-in-the-blank questions and came to the big questions at the end. At this time, most of the exam time has been used up.
The glasses candidate looked at the clock on the wall and realized that there was not enough time. It would be difficult to complete all the questions in the remaining time.
The glasses candidate looked at the first big question: "It is known that the argument angle of the complex number Z is 60 degrees, and |z-1| is the proportional middle term of |z| and |z-2| , find |z|. ”
I'm a little confused, let's put it aside for now.
“There is a typhoon near a coastal city. The current center of the typhoon is located at sea surface P 300km in the direction of θ (θ=arccos root 2/10) east-south of city O (as shown in the picture)..."< br>
The famous typhoon question, you won’t know how to do it once you see it.
"It is known that the constant a is greater than 0. In the rectangle ABCD, AB=4, BC=4a, O is the midpoint of AB, and the points EFG are on BC, CD, and DA respectively..."
The difficulty ceiling of college entrance examination mathematics, the most difficult question in the history of the most difficult college entrance examination, the classic "magic question"!
The emergence of "magic questions" means that people who ask questions are very lucky!
A feeling of despair arose in the heart of the candidate with glasses. At this time, he was already possessed by Yuan Hua. I can’t do this question!
……
The mathematics in the 2003 College Entrance Examination was the most difficult mathematics test in the history of the College Entrance Examination. The reason is that on the eve of the college entrance examination in 2003, a leak of test questions occurred.
The confidentiality level of our country is divided into three levels: top secret, secret and secret. The college entrance examination papers happen to be the highest top secret level, which is the same level as the information on nuclear weapons.
Even after the exam starts, as long as it is not time to collect the papers, the college entrance examination papers are still confidential and are not allowed to be leaked.
So during the college entrance examination, even if the candidates hand in the papers in advance, they are not allowed to leave the test center. Anyone who leaks questions before the end of the exam is considered a leak.
Theoretically, with such a high level of confidentiality, it is impossible for college entrance examination papers to be stolen. However, in 2003, two days before the college entrance examination, a case of theft of college entrance examination papers occurred.
So the Ministry of Education decided to use alternative test papers. The fate of 6.4 million candidates has been changed.
The result is the alternative mathematics test questions for science subjects, which are as difficult as the Mathematical Olympiad level. Ordinary students have never done questions of this difficulty before, and they are immediately confused when they see the test paper!
Even though I knew how to do the questions, the time in the exam was not enough and I couldn't finish the questions at all. Most of the next few math questions were left empty.
Countless candidates feel overwhelmed after finishing the mathematics exam.
The average math score of the candidates that year was less than 60 points. If you can pass the exam, you will already have a first-class math score.
And there was no perfect score in the 2003 National College Entrance Examination Mathematics Paper.
Although the college entrance examination mathematics in other years is also very difficult, some excellent candidates will get full marks.
There is no shortage of students among the candidates who have trained for the Mathematical Olympiad. The mathematical level of these Mathematical Olympiad students is several levels higher than that of ordinary candidates. However, there are so many Mathematical Olympiad students across the country, but none of them can get full marks.
This also shows from the side that the 2003 College Entrance Examination Mathematics is definitely the most difficult one!
Everyone is welcome to comment and make complaints. It doesn’t matter how you make comments. Just have fun. Just don’t curse. If you pass the test, you will never delete comments or refrain from speaking.
(End of this chapter)