What is the ruler law urgent! The standard way to write a ruler

The ruler is a tool for drawing lines, including drawing straight lines and curves and broken lines, if you use a complex ruler, a complex combination rectangular ruler can also be used, then, Borat has solved the problem of cubic multiplication, however, the most primitive ruler of human beings is to draw simple line segments, if you extend it repeatedly, the line segment can be extended infinitely, so you can draw infinitely long straight lines and polylines, parallel lines, perpendicular lines (auxiliary compasses) and ......so on by repeatedly using a very short ruler.

The compass is a tool for drawing circles, the original compass is a simple two sticks tied together, the angle is rigid and fixed, not as flexible and delicate as the modern compass, there are many rusty compass problems in ancient mathematics, in fact, it is another way of saying using a natural compass.

The strictest method of drawing with a ruler and a simple compass is to use a simple ruler and a simple compass, and it should be calculable, and Hippocrates' results should still be citable, because there is a certain number of relationships between points, lines, and angles. However, purely using calculation for drawing, that can use the knowledge of analytic geometry to locate the fixed-point positioning (similar to my previous attempt to determine the length of the extension line with the quantitative relationship to plot), which is not a strict ruler and gauge drawing method, after calculation, the point, line and surface body still have to be drawn according to geometric principles and inferences to be considered a ruler and gauge drawing method in the strict sense.

It is a method that can only be used to make drawings using a ruler and a compass, and is generally used more in mathematical research.

Ruler drawing refers to drawing with a ruler and compass without scales.

The significance of ruler drawing for mathematical research is to construct a sketch that is as accurate as possible under limited conditions.

The meaning of the compass ruler: In mathematics and cartography, the compass is a tool used to draw circles or strings, and is often used in ruler drawing.

Invented in China, rules and rectangles are two tools used by the ancients to measure and draw circles and squares. "Gui" is the compass that draws a circle; The "moment" is a curved ruler folded at right angles, and there is a scale on the ruler. The ancients said, "If you don't follow the rules, you can't make a circle", which is what it means.

Structure of the compass.

The compass is composed of a pen head, a rotating shaft, a compass leg, a ruler, a folding leaf, a pen body, a nib, a compass tip, a small ear, the lower end of its nib is inserted and connected to the upper end of the pen body, the lower end of the pen body is threaded to the upper end of the pen tip, the flush end of the ear is welded in the middle of the outer side of the compass leg, and the lower end of the compass leg is clamped and connected to the upper end of the compass tip.

In the days before computers, ruler drawing results were the most accurate and inexpensive (theoretically, a pen plus a string, if possible, a pushpin, you can do ruler drawing).

For example, if you want to draw a standard equilateral triangle, if you don't have a computer, a ruler is the quickest and most accurate way to do it.

Ruler Drawing Impact:

The three major problems of geometry are easy to solve if you don't limit the drawing tools. Historically, many mathematical results have been by-products of solving three major problems, notably pioneering the study of conic curves, the discovery of a number of famous curves, and so on. Not only that, but the three major problems are also related to modern branches of mathematics such as equation theory and group theory.

Explanation of the ruler chart.

Small drawings. Ming Wu Kuanyan and "He Shitian inscribed Wang Jun's painting fan": "The ruler picture is like seeing Di Xi Chun, and I remember the past experience." ”

Word decomposition Explanation of ruler ruler ǐ China Municipal unit of length (also known as "municipal ruler"). One foot is equal to ten inches. In the Western Han Dynasty, one foot was equal to.

m, now three feet is equal to one meter): ruler (.A foot-long white silk, borrowed from a small canvas;

Epistles). The ruler is short and the inch is long. Ruler.

Measuring utensils: bamboo rulers. Something like a ruler :

Iron ruler. Imitation ruler. Explanation of the figure Figure (figure) ú The image expressed in painting:

Picture. and back patterns. Atlas.

Illustrated. Rough Shed Map: "Sketch of Asia".

Show one’s true colors in the end. Drawing: Drawing a shadow shape.

Stratagem, plan: grand plan (also known as "grand map", "grand plan"). Good picture.

Seeking, hoping to get: Plotting. Tuli. Attempt.

The standard way of writing ruler: horizontal folding, horizontal, apostrophe, and pinching.

Ruler, the standard first-level character in modern Chinese, the earliest glyph of this character is oracle bone inscription. The original meaning is a unit of length, and later extended to a tool for measuring length, that is, a ruler. It is also extended to something shaped like a ruler, such as a ruler.

Shuowen" and Duan Yuci's "Shuowen Interpretation of Words" notes and other schools believe that the ruler is a word, from the corpse from B will mean, the corpse is like the image of a person lying down, B is a logo, Zhou system inch, hand, ruler, 仞, find, often all degrees, all to the human god contains the body as the law. There are also people who believe that the ruler refers to the word for things. In oracle bone inscriptions, the long bend vertical represents the entire arm, and the point in the middle is an indicator symbol that indicates the bend of the arm, i.e., the bend of the elbow.

Rulers form sentences. 1. The spring silkworm has never said anything to boast of itself in its life, and the silver wire spit out is a ruler to measure the value of life. Dear teacher, you have never shown off in front of others, but the blooming peach and plum is the highest evaluation of you.

2. Anything that can exist has a reason, I used to be very angry with my book, and I always answered with the ruler in my heart to measure the merits. But I don't know that the ruler in everyone's heart in this society is very different.

3. Use the ruler of literature to measure these scribbled words. is still far beyond the threshold of literature, but it can be seen that he is a bloody young man.

4. Time is an examination paper, testing the oath of the world. Distance is a ruler that measures the depth of fate. You Bi's greeting is a colored pen, depicting the warmth and coldness of affection. During the winter solstice, may the warm greetings reach your heart.

5. My stationery box is divided into two layers, the first layer has five sets of pen holes, which are used to put the pencils and pens that my mother gave me, and the second layer is used to put my rulers and art tools.

From the point of view of coordinate system, all points and lines can be replaced by coordinates and equation parameters, and the ruler and gauge can complete the sum and difference quotient of two line segments, so the number that can be graphed becomes a domain.

Straight lines and circles are both quadratic equations, and a little more detailed discussion shows that the ruler diagram can complete the square of the square, that is, the quadratic expansion of the domain.

Therefore, if the domain of quantities and rational numbers is known, the sufficient and necessary condition for a quantity to be graphed by a ruler is that there is a domain tower

The adjacent domain expansions are all quadratic.

In other words, in addition to the four operations, only the open square can be used to make a diagram with a ruler.

However, if it is a case such as opening a square, except for special cases such as a complete square, it is generally not possible to draw a ruler.

Of course, if you open the fourth power and the eighth power, you can open the square continuously, so you can also make a drawing with a ruler.

Mn and PQ are used to make the symmetry points B and C of point A respectively

Connect B and C to MN, and PQ is D and E

Then the two points D and E are the mailbox locations.

Truth: Between two points, the line segment is the shortest.

In this question, there must be traces of compass needles at points C and D; Around point C, the intersection of arcs on Ca and Cb should also have traces of compass. When doing CD vertical bisector, choose the radius to be appropriate, (basically in the figure), when doing CA, CB angle bisector, around the radius of point C, you can be farther away (that is, the radius is larger, the red line in the figure), the next radius should be appropriate (the blue line in the figure), in your figure, the first time the selection is too close, the second selection is too far, which increases the error, some teachers see this situation, know that your method is correct, do not deduct points, some teachers think that you have too much error and deduct a small amount of points. (In the picture, the location of the vegetable field cannot have traces of compasses!)

In the machinery industry, this is how errors are reduced. (I didn't use a compass in the picture, you know what it means.) ）

I hope it will help you solve your doubts, and generally teachers do not deduct such error points (because the method is correct).

I don't see anything wrong. Does it mean that the two centers of the intersection where you draw the angular bisector line are not obvious?