How is the root number 6 represented on the number line, and how is the root number 5 represented on

Using the Pythagorean theorem, first find a right-angled triangle with an edge of 1 and an edge of 2, so that the hypotenuse is the root number 5, that is to say, the square of the hypotenuse is 5, and then take this hypotenuse as a right-angled side and make another right-angled edge with an edge length of 1, so that the hypotenuse of the line is the root number 6.

Now the number line represents the root number 2, and then draw the perpendicular line of the number line at the root number 2, cut 2, and then draw a rectangle, the side length is the root number 2 and 2, connect the diagonal, then the diagonal length is the root number 6Take the origin point as the center of the circle, draw the arc with the root number 6 length as the radius, and the point of the intersection axis is.

To use a ruler, compass.

First draw a number axis, take the zero point, truncate a line segment with a length of 2 oa and then to point a, cut a line segment ab perpendicular to the x axis with a length of 1, and connect ob, so as to form an isosceles right-angled triangle with o, a, b as the vertice.

In this way, the line segment ob length is root number 5

Use a compass, take O as the center of the circle, ob as the radius, take oc=ob on the x-axis, pass c as the perpendicular line of the x-axis, take cd=1, connect od, and the length of od is root number 6

With a compass, with O as the center and OD as the radius, and taking OE=OD on the x-axis, you can represent the root number 6 on the number axis

To use a ruler, compass.

First draw the number axis of the strip, take the zero point, and the truncation degree is 2 line segments OA

Then to point A, perpendicular to the X-axis section AB1, connect OB, enough for O, A, B vertices isosceles right-angle triangle.

The root number of the line segment ob degree is 5

With a compass, the O circle ob radius x axis take oc = obc as the x axis perpendicular line take cd = 1 to connect odod root number 6

With a compass, the radius of the o circle od is taken as oe=od on the x-axis, then the number axis represents the root number 6

Root number 4 = 2Root number 9 = 3

Then the root number 6 is between the root number 4 and 9. It's between 2 and 3. Probably put in the middle).

If you want to draw a compass, you have to use it or something, but I can't tell.

Use the Pythagorean theorem to calculate that the root 5 takes 2 as one side, takes 1 as one side, the angle between the two sides is 90 degrees, the hypotenuse is the root 5, the hypotenuse is the radius, the origin is the center of the circle to draw a circle, and the intersection point with the positive half axis of the number axis is the root number 5.

Draw 2 unit lengths on the number axis, then draw 1 unit length vertically at the place of 2, connect the origin and this point to form a triangle, place the foot of the compass at the origin, draw an arc with the hypotenuse of the triangle as the radius, and the point that intersects the positive half axis is 5.

5 or. It can be found using the pen-count method of the square root of the arithmetic.

First determine 2 5 3, let (2+a) = 5, then 4+4a+aa=5, a(4+a)=1, a 1 4, so the tenth place of 5 is 2, and then let (, then, b(, b, so the percentile of 5 is 3.

Writing specifications. 1. Write the root number:

First draw a short diagonal line to the upper right corner in the middle of the grid, and then continue to draw the lower right middle diagonal line with the strokes, and then draw a horizontal line of moderate length according to your needs near the top of the grid, and then make up for it if it is not enough.

2. Write the number or formula of the square to be opened:

The number or algebraic formula to be opened is written in the area enclosed by the right side of the V-shaped part on the left side of the symbol and the lower part of the horizontal part above the symbol, and cannot go out of bounds, if the number or algebraic formula of the square is too long, the upper horizontal must be extended to ensure that the open square or algebraic formula below is covered.

3. Write the square number or formula:

N to the nth power is written on the left side of the symbol, and n can be ignored when n=2 (square root), but it must be written if it is a cubic root (cubic root), a fourth square root, etc.

Hurry up and ask questions, teacher.

It's a bit slow. Answer: Draw a line segment of 1 unit length directly above the positive position on the number axis, the upper end of the line segment is connected to the origin, and the distance from the line segment to the origin point is the root number root number (, the compass is fixed at the origin, with the origin as the center of the circle, the distance from the origin to the top of the line segment is the radius to draw the circle, and the point where the circle intersects with the number axis on the right side of the origin is the root number.

Isn't this the teacher going to have to play out slowly?

The question is being interpreted.

For this question, we need to use the Pythagorean number. Make use of the Pythagorean theorem. That is, to represent the root number, we have to find a + b = c

Ask questions that you know.

That is, we can find a for and b for.

Classmates can not reply to me first, because.

You only have a chance for 6 messages, you listen to me first.

We need to use a ruler to make a drawing, we pass the O point to make the perpendicular line of O, take Oa as the radius, O as the center of the circle, and then draw the arc to cross the perpendicular line of O to the point C, and then connect BC, the length of BC is the root number.

1: Draw a number line first, 2: Take 0 as the starting point, take 2 unit lengths on the number line, (that is, take the line segment 0 2) 3:

Then take 2 as the perpendicular foot, draw a perpendicular line The number axis is at this point of 2, so as to form a right-angled triangle (the right-angled sides are 2 and 1 respectively, and the hypotenuse is 5) 4: Take 0 as the origin, take the hypotenuse of the triangle as the radius, draw an arc, and intersect with the number axis at one point, which is the root number 5

Draw a right-angled triangle with right-angled sides of 2 and 1 respectively, and according to the Pythagorean theorem, the hypotenuse is the root number 5Then draw an arc with the origin as the center of the circle, the root number 5 as the radius, and the intersection point with the positive direction of the origin point is the root number 5

Draw a parallel line one unit away from the number axis, and then make a line perpendicular to the number axis in the position of 3, and the line has an intersection point with the parallel line. With the origin as the center of the circle, the distance between the origin and the intersection point is the radius, and the left is the negative root number 10 at the intersection point of the circle and the number axis, and the root number 10 is drawn on the right.

Draw a triangle with a straight angle so that the length of the two right-angled sides is 1 unit and 3 units respectively, then the hypotenuse side length is 10. Taking the origin as the center of the circle and the length of the hypotenuse of the right triangle as the radius, 10 and - 10 can be obtained by intercepting both sides of the origin on the number axis.

on the number line. The number line can represent the number vividly, and the points on the horizontal number line correspond to the real number one-to-one, that is, each real number can be represented by a point on the number line.

The number axis has the completeness of numbers, which can not only represent rational numbers and irrational numbers (collectively called real numbers), but also represent imaginary numbers, and can also establish a coordinate system, constituting a relatively tight number system.

1. First draw a number line with a ruler, mark the number, and the direction, and then write the combination number of the root number 13 on scratch paper, preferably a number that can be squared.

2. After deciding that it is 2 and 3, make a vertical line with a compass on the number axis 3, because it is a computer blackboard, so please take a look.

3. Then measure the distance from 0 to 2, mark this distance on the perpendicular line segment just drawn, and pay attention to the picture.

4. Then connect this point, that is, point b, with the position of 2, and measure the length of this diagonal line with a compass.

5. Then align the iron tip of the compass with 2 and draw a horizontal on the number axis.

6. Don't forget to add the conclusion after the drawing.

Draw the root number 2, root number 3, root number 4, root number 5 on the number line, ...... in turnThe point of root number 10 is an example:

In fact, it is the use of the Pythagorean theorem:

Draw it firstNumber line, mark the number of hectares to take the pivot point, because 2 =, so in 1 with 2Left in the centerPosition: Draw the position of 2 on the number line.

Draw a line segment of length 1 vertically upwards at the position of 1 on the number axis, connecting the origin point with the other endpoint, and the hypotenuse.

The length is 2, and then use a compass.

Take the origin as the center of the circle, the hypotenuse as the radius to make a circle, and the intersection axis at one point, also 2.

on the number line. In addition to the number 0, which should be represented by the origin, any rational number that is not 0 should be denoted according to the plus and minus signs of this number.

Determine which side of the number axis it is on (usually the positive number is to the right of the origin, and the negative number is to the left of the origin), then determine how many units of length it is from the origin in the corresponding direction, and then draw the corresponding point on the curve. In addition, a point marked 1 on the number axis means that the line segment from the origin to the point contains 1 object unit length, and the specific length is not limited.

The above content reference: Encyclopedia - Number Axis.

It is possible to convert 2 to (1 +1) on the number line:

2. The length of 2 can be regarded as the hypotenuse side length of an isosceles right triangle with a right-angled side of 1.

3. According to the Pythagorean theorem, the length of 2 can be made.

In the positive position on the number axis, we will draw a line segment of 1 unit length directly above Qingsheng, the upper end of the line segment is connected with the origin of the nuclear difference, and the distance from the line segment to the origin is the root number 2 (the root number (1 2 + 1 2)), the compass is fixed at the origin, the origin is the center of the circle, the distance from the origin to the top of the line segment is the radius to draw a circle, and the point where the circle intersects with the number axis on the right side of the origin is the root number 2

Hello landlord! You're asking how to draw on a number line. Find the position of 1 through the origin 0 on the number axis and mark it as a, and make a line segment perpendicular to the number axis through the origin, so that the length of the line segment is 1 and the end point is b, and then make a square with 0a and 0b as the two edges of the square, and then connect the diagonal nator line of the square, with 0 as the center of the circle and the diagonal as the radius to draw a circle, and the intersection point of the positive half axis is the position of the root eggplant lease number 2.

Bucha welcome, remember to comment!

Make a square with a side length of 1 on the number axis.

According to the Pythagorean theorem, the sum of the squares of the two right-angled sides is equal to the square of the hypotenuse of the manuscript in a long-angle triangle.

So the diagonal key of the square is equal to the root number 2.

Between 1 and 2, a little closer to 2.

To use a ruler, compass.

First, draw a number line, take the zero point, and truncate a line segment of length 1"01".(One end point is at the zero point, and the other end point is marked with 1).

Cut off the line at 1 point, perpendicular to 90 degrees"1a"=1, (set the cut-off point as a, up and down), connect the zero point and the a point, so that it can form an isosceles right triangle with the vertex.

In this way, the length of the line segment 0a is the root number 2

With a compass, zero is the center of the circle (fixed point), point A is the point of the pencil, rotation, and the intersection of the circle and the number axis is the irrational number number 2 points. (Note, the intersection point is taken to the right of the zero point).

In the case of root number 3, the line segment is truncated perpendicular to 90 degrees at the root number 2 = 1

Idea: Anyway, it is the distance of one end of the cross-section, the distance of the vertical end of the end, and the length of the hypotenuse is connected into a triangle. Then move to the number line.

The root number 2 is cross-cut 1, and the vertical truncation is 1 (see above for the method).

Root number 3 is cross-cut root number 2 length, vertical length 1 length (root number 2 length has been made before).

Root number 5 is cross-cut 2 length, vertical length 1 length root number 6 is cross-cut root number 5 length, vertical length 1 length (root number 5 length has been made before).

The number of the number with the root file talk number can be taken roughly on the number line.

For example, hail trail 2, take 1 square and a half less one source stupid sum point on the number line, 3, take 1 and a half squares on the number axis and add 1 4 or so.

The teacher upstairs has already described the method of representing non-exact numbers with roots on the number line.

If you want to accurately represent the number of root numbers, you need to use the method of drawing according to the ruler gauge. Using the Pythagorean theorem, find out the two right-angled side lengths you need, then draw a right-angled triangle with the corresponding side length on the number line of the oak, and finally transfer the length of the hypotenuse to the number line.

For example, 2= (1 +1 ), 3= (1 +(2) The beam needs to be counted to make two right triangles).

Use the Pythagorean theorem to calculate such as root 5 take 2 for one side, take 1 for one side, the angle between the two sides is 90 degrees, the hypotenuse is the root code spring 5, with the hypotenuse as the radius, the origin is the center of the circle to draw a circle, and the intersection point with the positive half axis of the number axis is the root number 5.

Draw 2 unit lengths on the number axis, and then draw 1 unit length vertically at the place of 2, connect the origin of the wax grip with this point to form a triangle, place the foot of the compass at the origin, draw an arc with the hypotenuse of the triangle as the radius, and the point that intersects the positive half axis is 5.

5 or. It can be found using the pen-count method of the square root of the arithmetic.

First determine 2 5 3, let (2+a) = 5, then 4+4a+aa=5, a(4+a)=1, a 1 4, so the tenth place of 5 is 2, and then let (, then delay, b(, b, so the percentile of 5 is 3.

Over x = 2 for hunger or Kai perpendicular line, cut off a line segment length of 1 on the perpendicular line, connect the origin and take this group of blind points, according to the Pythagorean theorem the length of the line is the root number rotten call 5, and then take the origin as the center of the circle on the number axis to intercept the root number 5 to obtain.

Take oa=3 on the positive half axis of the number axis

I do the perpendicular line of the number line over o.

With a as the center of the circle, draw the arc with radius 4 and the perpendicular line of the number axis through the origin point at b, with o as the center of the circle, ob as the radius, draw the arc with the positive half axis at coc=ob= (ab 2-oa 2)= 4 2-3 2) =7