Question

Начерти прямую l и обозначь на ней точки А,В и С так, чтобы точка В лежала между точками А и С а) запиши 6 разных способов обозначения этой прямой _____________________________________________ б) обведи синим и зелёным цветом лучи АВ и СА. Найди пересечение этих лучей красным цветом в) Построй луч ТК. который пересекает луч ВС, но не пересекает отрезок ВС

Answer 1

-----А------В---------С

Answer 2

Drawing a Line and Points

To draw a straight line l and mark points A, B, and C on it such that point B lies between points A and C, we can represent this in various ways:

a) Six different ways to represent this line: 1. Line l 2. Line AB 3. Line BC 4. Line AC 5. Line BA 6. Line CB

b) Drawing rays AB and AC: - Ray AB (in blue) - Ray CA (in green) - Intersection of these rays (in red)

c) Constructing ray TK: - Ray TK intersects ray VC but does not intersect segment VC.

Code for Constructing Ray TK

```python import matplotlib.pyplot as plt import numpy as np

# Define points A, B, C, T, K, V A = np.array([1, 2]) B = np.array([3, 4]) C = np.array([5, 6]) V = C - B # Vector from B to C

# Define ray VC ray_VC = plt.arrow(B[0], B[1], V[0], V[1], head_width=0.2, head_length=0.3, fc='lightblue', ec='black')

# Define ray TK T = np.array([7, 8]) K = T + V # Point K is obtained by adding vector VC to point T ray_TK = plt.arrow(T[0], T[1], V[0], V[1], head_width=0.2, head_length=0.3, fc='orange', ec='black')

# Plot points A, B, C, T, K plt.scatter([A[0], B[0], C[0], T[0], K[0]], [A[1], B[1], C[1], T[1], K[1]], color='black') plt.text(A[0], A[1], 'A', fontsize=12, ha='right') plt.text(B[0], B[1], 'B', fontsize=12, ha='right') plt.text(C[0], C[1], 'C', fontsize=12, ha='right') plt.text(T[0], T[1], 'T', fontsize=12, ha='right') plt.text(K[0], K[1], 'K', fontsize=12, ha='right')

# Set plot limits and show plot plt.xlim(0, 10) plt.ylim(0, 10) plt.grid(True) plt.show() ```

This code constructs ray TK, which intersects ray VC but does not intersect segment VC.

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