<｜begin▁of▁sentence｜>### Instruction:
As a forester, you may encounter the need to determine the intersection point of a quadratic Bezier curve defined by three control points and a circular tree stand with a radius of 1.0 centered at the last control point of the curve. This can be accomplished using the intersect_bezier_curve_and_circle function, which applies a binary search method to calculate the coordinates of their intersection. This knowledge can be valuable when planning forest management activities in two-dimensional spaces, particularly when mapping out potential areas for timber harvesting and conservation efforts.
### Response:
from scipy.optimize import bisect
import numpy as np

# Define the Bezier curve control points
control_points = np.array([[0, 0], [1, 2], [2, 0]])

# Define the circle center (at the last control point) and radius
circle_center = control_points[-1]
circle_radius = 1.0

# Define the Bezier curve function
def bezier_curve(t, control_points):
    # Implicit Bezier curve formula for quadratic Bezier curves
    return (1-t)**2 * control_points[0] + 2*t*(1-t) * control_points[1] + t**2 * control_points[2]

# Define a function to represent the distance from the curve to the circle center minus the radius
def curve_circle_distance(t):
    point_on_curve = bezier_curve(t, control_points)
    return np.linalg.norm(point_on_curve - circle_center) - circle_radius

# Use binary search to find the t parameter where the curve intersects the circle
t_intersection = bisect(curve_circle_distance, 0, 1)
intersection_point = bezier_curve(t_intersection, control_points)

print('Intersection point:', intersection_point)
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