Question

Кузнечик прыгает вдоль координатной прямой в любом направлении на единичный отрезок за прыжок. Сколько существует различных точек на координатной прямой, в которых кузнечик может оказаться, сделав ровно 12 прыжков, начиная прыгать из начала координат?

Answer 1

Кузнечик делает 12 прыжков, значит k = 12. Всевозможные точки, в которых может оказаться кузнечик, описываются формулой : 12+2n , -k≤n≤0.

Эти точки: -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12.

Всего из k+1 = 12+1 = 13.

Ответ: 13. я хочу сказат это не 4 класс

Answer 2

The question you asked is about the number of different points on the coordinate line that a grasshopper can reach, making exactly 12 jumps, starting to jump from the origin. The grasshopper can jump in any direction on a unit segment per jump.

To answer this question, we can use the following logic:

- The grasshopper can jump either to the right or to the left on each jump. - The maximum distance that the grasshopper can reach from the origin after 12 jumps is 12 units, either to the right or to the left. - The minimum distance that the grasshopper can reach from the origin after 12 jumps is 0 units, if it jumps alternately to the right and to the left. - The possible distances that the grasshopper can reach from the origin after 12 jumps are the even numbers between 0 and 12, inclusive. This is because the grasshopper can only change its position by an even number of units after an even number of jumps. - Therefore, the number of different points on the coordinate line that the grasshopper can reach after 12 jumps is the number of even numbers between 0 and 12, inclusive. This is equal to 13, since there are 13 even numbers between 0 and 12, inclusive.

The answer is 13.

I found some web search results that explain this problem in more detail. You can check them out here:

- [Кузнечик прыгает вдоль координатной прямой в любом направлении на ...](https://yandex.ru/tutor/subject/problem/?problem_id=T29487) - [Кузнечик прыгает вдоль координатной прямой в любом... 12](https://math-baza.ru/archives/335) - [Кузнечик прыгает вдоль координатной прямой в любом направлении на ...](https://uchi.ru/otvety/questions/kuznechik-prigaet-vdol-koordinatnoy-pryamoy-v-lyubom-napravlenii-na-edinichniy-otrezok-za-8132abdb-106e-48f4-9dae-1e1fef6c0957)