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🐛 fix line.cal_intersection

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This commit is contained in:
远野千束
2024-08-28 01:26:59 +08:00
parent 04d7c82783
commit 5f4adbb75f
12 changed files with 374 additions and 106 deletions
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34
tests/test_word_problem.py
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@ -7,7 +7,7 @@ from mbcp.mp_math.line import Line3
from mbcp.mp_math.plane import Plane3
from mbcp.mp_math.point import Point3
from mbcp.mp_math.vector import Vector3
from .answer import output_answer
from .answer import output_ans, output_step_ans
class TestWordProblem:
@ -27,7 +27,7 @@ class TestWordProblem:
s = pl1.normal.cross(pl2.normal)
actual_ans = Line3(p, s)
output_answer(correct_ans, actual_ans, question)
output_ans(correct_ans, actual_ans, question=question)
assert actual_ans == correct_ans
"""解法2"""
@ -38,7 +38,7 @@ class TestWordProblem:
# 求pl3和pl4的交线
actual_ans = pl3.cal_intersection_line3(pl4)
output_answer(correct_ans, actual_ans, question)
output_ans(correct_ans, actual_ans, question=question)
assert actual_ans == correct_ans
def test_c8s4e5(self):
@ -56,21 +56,37 @@ class TestWordProblem:
"""解"""
actual_ans = plane & line
output_answer(correct_ans, actual_ans, question)
output_ans(correct_ans, actual_ans, question=question)
def test_c8s4e6(self):
question = "求过点(2, 3, 1)且与直线(x+1)/3 = (y-1)/2 = z/-1垂直相交的直线的方程。"
"""正确答案"""
correct_ans = Line3(Point3(2, 1, 3), Vector3(2, -1, 4))
"""题目已知量"""
point = Point3(2, 3, 1)
point = Point3(2, 1, 3)
line = Line3(Point3(-1, 1, 0), Vector3(3, 2, -1))
"""解"""
# 先作平面过点且垂直与已知直线
pl = line.cal_perpendicular(point)
logger.debug(line.get_point(1))
# 先作过点且垂直与已知直线的平面
s1_correct_ans = Plane3(3, 2, -1, -5)
pl = Plane3.from_point_and_normal(point, line.direction)
# output_answer(correct_ans, actual_ans, question)
output_step_ans(s1_correct_ans, pl, question="作过点且垂直与已知直线的平面")
# 求该平面与已知直线的交点
s2_correct_ans = Point3(2 / 7, 13 / 7, -3 / 7)
s2_actual_ans = pl & line
output_step_ans(s2_correct_ans, s2_actual_ans, s1_correct_ans.approx(s1_correct_ans), question="求该平面与已知直线的交点")
# 求所求直线的方向向量
s3_correct_ans = (-6 / 7) * Vector3(2, -1, 4)
dv = s2_correct_ans - point
output_step_ans(s3_correct_ans, dv, condition=s3_correct_ans.unit.approx(dv.unit), question="求所求直线的方向向量")
# 求所求直线的方程
actual_ans = Line3(point, dv)
output_ans(correct_ans, actual_ans, correct_ans.approx(actual_ans), question=question)