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See below:
Adjacent Complement Angle: Of the four corners formed by the intersection of two straight lines, the two corners with a common vertex and a common edge are adjacent complement angles. Opposite Apex Angles: The two sides of one corner are the opposite extension of the other called the two sides, and the two corners like this are opposite the vertex angles.
Perpendicular: When two straight lines intersect at right angles, they are called perpendicular to each other, and one of them is called the perpendicular line of the other. Parallel lines: Two straight lines that do not intersect in the same plane are called parallel lines.
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[Sum of the inner angles of the triangle].
Professor Chern, a Chinese-American, is a world-renowned mathematician who surprised everyone in a lecture at Peking University
It is often said that the sum of the inner angles of a triangle is equal to 180 degrees. However, this is not right! ”
Everyone was stunned. What's going on? The sum of the inner angles of a triangle is 180 degrees, isn't that common sense in mathematics?
Then, the old professor gave an incisive answer to everyone's questions: "It is not correct to say that the sum of the inner angles of the triangle is 180 degrees, not that this fact is wrong, but that this way of looking at the problem is wrong, and it should be said that the sum of the outer angles of the triangle is 360 degrees." ”
Keeping our eyes on the inner corners, we can only see:
The sum of the inner angles of the triangle is 180 degrees;
The sum of the inner angles of the quadrilateral is 360 degrees;
The sum of the inner angles of the pentagon is 540 degrees;
Hand-copied newspaper of mathematics in the first year of junior high school (2).
The sum of the inner angles of the n-sided is (n-2) 180 degrees.
This finds a formula for calculating the sum of the internal angles. The number of sides n appears in the formula. What if you look at the outer corners?
The sum of the outer angles of the triangle is 360 degrees;
The sum of the outer angles of the quadrilateral is 360 degrees;
The sum of the outer angles of the pentagon is 360 degrees;
The sum of the outer angles of any n-sided shape is 360 degrees.
This sums up the many situations in a very simple conclusion. A more general law is found by replacing the formula related to n with a constant that is not related to n. ”
Reading Chern's story, we are reminded of a quote by the mathematician John Bollyre: "The purpose of a mathematician is often to seek the general." solutions, he likes to use a few general formulas to solve many special problems. ”
[Mathematician's famous quotes].
Mathematics is the science that studies real-life quantitative relationships and spatial forms.
Engels. Mathematics is a rational spirit that enables the human mind to be used to the fullest degree.
Klein. Give me space, time, and logarithms, and I can create a universe.
Galileo. The book of nature is written in the language of mathematics.
Galileo. Mathematics is the door and key to science.
Bacon (Rogerbacon).
God is always arithmeticizing the world.
Jacobi (Carljacobi).
Hankel.
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<>Junior High School Mathematics Hand-Copied Newspaper:
Math Learning Methods:
1. Carefully preview before class. The purpose of the preview is to be able to better listen to the teacher's lectures, and through the preview, the mastery should reach 80 percent. Listen to the teacher's lecture with questions that you don't understand in the preview to answer these kinds of questions.
Preview can also improve the overall efficiency of the lecture. Specific preparation method: Complete the questions in the book and draw the knowledge points, and the whole process lasts about 15-20 minutes.
If time permits, you can also finish the workbook.
2. Combine learning and practice in mathematics classes. In math class, it's useless to just listen. When the teacher asks the students to go to the blackboard to perform calculations, they also have to practice on scratch paper.
If you encounter a problem that you don't understand, you must put it forward, and you can't help but seek a solution. () Otherwise, you may not do it if you encounter a similar question in the exam. When listening to the teacher's lecture, you must pay full attention and pay attention to the details, otherwise "the embankment of a thousand miles will be destroyed in the anthill".
3. Review in time after class. After writing the homework, sort out the content of the teacher's lecture that day, and you can do it appropriately for about 25 minutes. Extracurricular questions. You can choose the books according to your own needs, and choose the extracurricular books that suit you. The content of the extracurricular questions is probably today's class.
4. The unit test is to test the recent learning situation. In fact, the score is based on your past, and the key is to summarize and learn lessons from each exam, so that you can do better in the mid-term and final exams. Teachers often conduct exams without notice, so it is important to "review after class" in a timely manner.
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Mathematics is everywhere in people's lives and is closely related. If we can use mathematics well, we can make our lives much faster. Doing math hand-copied newspapers is also a way to learn math.
Junior high school mathematics hand-copied newspaper content**
Junior high school mathematics hand-copied newspaper content**1.
Junior high school mathematics hand-copied newspaper content**2.
Junior high school mathematics hand-copied newspaper content**3.
Junior high school mathematics hand-copied newspaper content**4.
Junior high school mathematics hand-copied newspaper content**Knowledge concept of inverse proportional functions
1.Inverse proportional function: A function of the form y= (k is constant, k ≠0) is called an inverse proportional function. Other forms xy=k
2.Image: An image with an inverse proportional function is a hyperbola. The image of the inverse proportional function is both axisymmetric and centrally symmetrical. There are two axes of symmetry: straight line y=x and y=-x. The center of symmetry is: the origin.
3.Properties: When k>0, the two branches of the hyperbola are located in the first.
1. In the third quadrant, the y value decreases with the increase of the x value in each quadrant;
When k<0, the two branches of the hyperbola are located in the first.
2. In the fourth quadrant, the y value increases with the increase of the x value in each quadrant.
4.|k|Target. Geometric significance: Represents the area of the rectangle enclosed by the perpendicular segment of the point to the two axes on the inverse proportional function image.
Math quotes
1. Mathematics is the queen of science, and number theory is the queen of mathematics, Gauss (Gauss) ** can inspire or soothe feelings, painting can make people pleasing to the eye, poetry can move people's heartstrings, philosophy makes people gain wisdom, science can improve material life, but mathematics can give all of the above. Klein.
2. Mathematics is the highest achievement in human thinking. - Misra.
3. Mathematics is the most brilliant pearl in the crown of human wisdom. - Court.
4. Mathematics is God's symbol for describing nature. —Hegel.
5. Mathematics is an infinite science. —Herman Weyl.
6. Mathematics is the study of abstract structures. - The Bourbaki School.
7. Mathematics is the study of quantitative relations and spatial forms in real life. Engels.
8. Mathematics is the highest form of all knowledge. —Plato.
9. Mathematics is an ingenious art. - Halmos.
10. Mathematics is a culture that is constantly evolving. —Wilde.
Hand-copied newspaper on junior high school language.
There is no language in life, and where there is language, it is a world full of flowers, and it can immerse you in that world. The following I bring is a hand-copied newspaper about junior high school Chinese, I hope it will be helpful to you. >>>More
Fun Stories about Math:
When Gauss was in elementary school, once after the teacher taught addition, because the teacher wanted to rest, he came up with a problem for the students to calculate, the topic was: >>>More
1. The bee hive is a strict hexagonal columnar body, which has a flat hexagonal opening at one end and a closed hexagonal rhombus pyramidal mu chi bottom at the other end, consisting of three identical rhomboids. The diamond-shaped shape that makes up the chassis has an obtuse angle of 109 degrees 28 minutes, and all acute angles are 70 degrees 32 minutes, which is both strong and economical. The hive wall is millimeter thick, and the error is extremely small. >>>More
Do it with students, journaling, learning, etc.
Addition of rational numbers: the addition of the same sign is one-sided; The different signs add "big" and subtract "small", and the symbols follow the big one; The absolute value is equal to "zero" just right. Note: "Large" minus "small" refers to the size of the absolute value. >>>More