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If point a represents 7, and now a moves 6 unit lengths along the number axis to point B, then the rational number represented by point B is
If point a represents 7, and now a moves 6 unit lengths along the number axis to point B, then the rational number represented by point B is 1 or 13
What is the relationship between the positions of opposite numbers on the number axis
On origin symmetry
What are the characteristics of two points representing opposite numbers on the number axis?
On the number axis, the distance between two points representing opposite numbers and the origin is equal
What are the characteristics of two opposite points on the number axis?
The distance to the origin is equal
What are the characteristics of opposite numbers represented by numbers and opposite numbers represented by number axes?
The characteristics of the number represented by the number on the number axis
The number axis defines the unique origin. The unique positive direction and the unique straight line of unit length are called the number axis. All rational numbers can be represented by the points on the number axis. The number axis can also be used to compare the size of two real numbers. 1) the points on the ray from the origin to the positive direction correspond to positive numbers
The position of rational number AB on the number axis is shown in the figure. A --- 0 --- B simplifies | 2A | - | a + B|
The most important thing is the process
The positions of a and B you gave are not clear,
If | B | > | a|
Then - 2A - (B + a) = - 3a-b
If | B | a|
Then - 2A - (- a-b) = - A + B
If the distance between point a and the origin on the number axis is 3, and the distance between point B and the origin is 5, then the distance between a and B is 0______ ．
If the distance from point a to the origin is 3, then a represents 3 or - 3; similarly, B represents 5 or - 5. Then the distance between a and B is 2 or 8
Given that the distance between point a and origin is 3, and the distance between point B and origin is 5, find the distance between two points a and B
When a and B are 2 on the same side, the distance is 8 on both sides
It is known that on the number axis, the distance from point a to the origin is 3, and the distance from point B to the origin is 5. What is the distance between two points a and B
The distance from point a to the origin is 3,
therefore
A = 3 or - 3
The distance from point B to the origin is 5,
therefore
B = 5 or - 5
A. B the distance between two points is:
|5-3 | = 2, or | - 5-3 | = 8
There are also two other equal to 2 or 8
RELATED INFORMATIONS
- 1. As we all know, the meaning of | 4 | = | 4-0 |, on the number axis, is the distance between the point of 4 and the origin (that is, the origin of 0). For another example, the meaning of formula | 8-3 |, on the number axis, is the distance between the point of 8 and the point of 3. Similarly, the meaning of formula | a + 5 | on the number axis is________ . If the answer is "the distance between a point and 5 or - 5", please explain the reason in detail!
- 2. Points a and B are the corresponding points of numbers - 3 and - 12 on the number axis respectively. If line AB moves to the right along the number axis to a ′ B ′ and the number corresponding to the midpoint of line a ′ B ′ is 3, then the number corresponding to point a ′ is______ The distance that point a moves is______ ．
- 3. As shown in the figure, it is known that the number represented by point a on the number axis is 6, B is a point on the number axis, and ab = 10. Starting from point a, the moving point P moves uniformly to the left along the number axis at the speed of 6 unit lengths per second, and the movement time is t (T > 0) seconds (1) (1) write the number represented by point B on the number axis______ The number represented by point P______ (expressed by an algebraic expression containing T); ② m is the midpoint of AP and N is the midpoint of Pb. Does the length of segment Mn change during the movement of point P? If it changes, please explain the reason; if it doesn't change, please draw a graph and find out the length of line Mn; (2) moving point Q starts from point a and moves left uniformly along the number axis at the speed of 1 unit length per second; moving point R starts from point B and moves left uniformly along the number axis at the speed of 43 unit length per second; if P, Q and R start at the same time, when point P meets point R, it immediately returns to point Q Then, what is the unit length of the journey from the start to the stop of point P?
- 4. Given that points a and B are on both sides of the origin on the number axis, their corresponding numbers are - 4,3x-5 / 2x + 2, and the distances from points a and B to the origin are equal, find the value of X
- 5. The three elements of the number axis are______ 、______ 、______ ．
- 6. The position of ABC three numbers on the number axis is shown in figure 2.3-2. The number axis c0ab is simplified as | a | / A + | B | / B + | / C | / C!
- 7. The position of rational number ABC on the number axis is shown in the figure, then the size relationship of a, negative a, B, negative B, C, negative C, 0 is?
- 8. All real numbers can be represented by points on the number axis. Conversely, all points on the number axis represent real numbers
- 9. If the latter noun is plural, does the predicate still use the singular
- 10. Is human subject singular or plural? How to do human survival How does human survive?
- 11. If the distance between the corresponding point of a number on the number axis and its opposite number on the number axis is 5 unit length, then the number is______ Or______ ．
- 12. If f (x) = 2x + 5, then f (2x)= f(X+3)= f(2x+1)= f（-x）= F (x + 1) f（x-4）=
- 13. F (x) = / 2x-1 / - / 2x + 1 /, judge the parity function
- 14. The expression form of high school function
- 15. Function en, minimum positive period What is the minimum positive period of y = 2Sin μ x
- 16. On the properties of function periodicity If one of the following conditions holds for any X in the field of F (x), then f (x) is a periodic function, and the period T = 2A (a is not equal to 0) & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; f(x+a)=f(x)+1\f(x)-1 f(x+a)=1-f(x)\1+f(x) f(x+a)=f(x-a) How can I prove this
- 17. Given the sequence {a (n)}, a (1) = 1, a (2) = 2, a (n) = a (n-1) - A (n-2), (n ∈ n + and N ≥ 3), then s (100)=
- 18. Mathematical function problem? 1. A factory produces one kind of parts, and the daily income is 28 yuan when the quota is fulfilled. If one part is overproduced and the income is increased by 1.5 yuan, then the functional relationship between a worker's daily income y yuan and the number of overproduced parts x is () 2. A factory has 800 tons of coal and burns 5 tons of coal every day. Find out the functional relationship between Y tons of surplus coal and X days of burning coal, and point out whether y is a linear function of X 3. Under normal circumstances, the maximum number of heart beats per minute (s / min) a person can bear during exercise is a function of the person's age of N years (1) According to the following information, the function of s with respect to n is obtained under normal conditions. According to the surface of scientific research in medicine, the heart rate of people during exercise is usually related to their age. Under normal conditions, the maximum heart rate that people aged 15 and 45 can bear during exercise is 164 beats / min and 144 beats / min respectively (2) If a 63 year old man is running and the doctor measures 26 beats in 10 seconds on the way, ask: is he in danger? Why? 4. It is known that y + m is in direct proportion to x-m (where m and N are constants). If x = - 1, y = - 15; X = 7, y = 1, find the relationship between Y and X 5. In the activity of Yunnan green hope project, the action of protecting mother river, a kind of telephone card was issued. The purpose is to build ten thousand mu of young people's new century forest at the beginning of the new century. The face value of this kind of telephone card is 12 yuan, of which 10 yuan is the call fee, 2 yuan is donated to Yunnan green hope project fund, and 1 yuan is attached to the call fee, Yunnan green hope project fund is the function y (1) Write the function relation between Y and X, and find the value range of the independent variable x (2) It is known that the cost of planting trees per mu is 400 yuan. If there are 46000 junior high school graduates in our city this year, and each person buys a card, how many mu of trees can the fund plant?
- 19. Ask a few mathematical function questions Y = the range of the root sign (xsquare - x + 2) The minimum value of y = x square + 2x + 2 The maximum value of y = 2 - | x |
- 20. It is known that f (x) = 2cos ^ 2x + 2 √ 3xinxcosx + a (x ∈ R) a is a constant (1) Finding the minimum positive period of F (x) (2) Finding monotone increasing interval of F (x) (3) If the sum of the maximum and minimum of F (x) is 3, find the value of A