The school goddess, she becomes more and more beautiful

Chapter 198 Simson's Theorem

When the test papers were handed out, most of the students in the classroom were in a dazed state.

And this was just the beginning. After reading the title, the expression on their faces turned into a frowning look of frowning.

The first question examines plane geometry, the second question is solid geometry, and the third question is the finale, which is actually a number theory question.

Whether it is plane geometry or solid geometry, the initial graphics given by the topic are very complicated. If you don't have enough patience and care, you will easily get confused.

As for the number theory of the third question, it is even more daunting.

In fact, strictly speaking, a lot of knowledge about Mathematical Olympiad questions is beyond the outline for ordinary high school students. To solve the questions, this requires students to study and accumulate extracurricularly by themselves.

If it wasn't for the winter vacation, the system had premeditated and made Song Ranran read books related to the Olympiad early, otherwise the result would be similar to others.

While other students were still scratching their heads and looking for ideas on the first question, Song Ranran had already written the proof steps smoothly with a pen and entered the second question.

In fact, the plane geometry question of the first question is already the simplest among the three questions. As long as the students can think of Simsson's theorem, then most of the following proofs can be completed.

Simson's theorem: that is, through any point on the circumscribed circle of a triangle that is different from the vertices of the triangle as a perpendicular to the three sides or their extensions, the three feet are collinear.

Song Ranran spent a little more time on the next three-dimensional geometry problem, and then focused on the final number theory problem.

She glanced over the question, her delicate eyebrows were furrowed, feeling a little tricky.

White fingers hold a black pen to perform various calculations on the draft paper, and various numbers and symbols are intertwined, dazzling.

After a long deduction, Song Ranran paused, and tried to use Euler's theorem to solve the hypothesis.

One after another, the knowns and proofs appeared alternately, and gradually, that bit of spiritual light became clear as if the messy and tangled wool was pulled away.

In the quiet classroom, the delicate-looking girl was burying her head in writing something quickly. Perhaps because of nervousness, a little sweat broke out on her fair and smooth forehead, but her starry eyes became brighter and brighter.

Like the stars of a summer night, melting in her eyes.

Song Ranran still remembers that she had no interest in mathematics at first.

But slowly, after learning more and more deeply, you can feel the mystery and magic of this subject.

Especially whenever she solves a difficult problem, even if the process is difficult, the sense of accomplishment is unparalleled.

Right now, this number theory has aroused Song Ranran's interest.

The pen in her hand wrote faster and faster, and the dense calculation steps took up half of the paper.

But unfortunately, due to lack of time, Song Ranran only finished two-thirds of the writing, and the steps were not complete.

After the two-and-a-half-hour exam time passed, the teacher collected the papers and corrected them in class because there were not many questions.

After the results are counted, the corrected test papers will be issued.

Unsurprisingly, the number theory questions were deducted by half for incomplete steps.

But in the final ranking, Song Ranran ranked first in this opening examination.

There was another student who followed closely behind with a one-point difference, and that was Tang Yi.

Song Ranran and Tang Yi were also the only two in the class who had written some ideas for the final number theory question.

It's just that Song Ranran's final steps are more complete than Tang Yi's, so the teacher gave him an extra point.

But no matter what, Song Ranran was the first to get the personal 10 points given by the teacher of the training class by virtue of the ranking of the opening test results.

　It’s snowing here in Zhaozhao today!! However, it just fell for a while, and activities such as making snowmen and snowball fights are completely unacceptable.

　　The weather is cold recently, everyone should keep warm. In addition, I wish you all a happy new year in advance! mua＼＼\\('ω')//／／
　　
　
(End of this chapter)