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44 lines
1.3 KiB
Python
44 lines
1.3 KiB
Python
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# -*- coding: utf-8 -*-
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"""
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应用题测试集
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"""
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import logging
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from mbcp.mp_math.line import Line3
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from mbcp.mp_math.plane import Plane3
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from mbcp.mp_math.point import Point3
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class TestWordProblem:
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def test_c8s4e4(self):
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"""
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同济大学《高等数学》第八版 下册 第八章第四节例4
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问题：求与两平面x-4z-3=0和2x-y-5z-1=0的交线平行且过点(-3, 2, 5)的直线方程。
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"""
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correct_ans = Line3(4, 3, 1, 1)
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pl1 = Plane3(1, 0, -4, -3)
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pl2 = Plane3(2, -1, -5, -1)
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p = Point3(-3, 2, 5)
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"""解法1"""
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# 求直线方向向量s
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s = pl1.normal @ pl2.normal
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actual_ans = Line3.from_point_and_direction(p, s)
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logging.info(f"正确答案：{correct_ans} 实际答案：{actual_ans}")
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assert actual_ans == correct_ans
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"""解法2"""
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# 过点p且与pl1平行的平面pl3
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pl3 = pl1.cal_parallel_plane3(p)
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# 过点p且与pl2平行的平面pl4
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pl4 = pl2.cal_parallel_plane3(p)
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# 求pl3和pl4的交线
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actual_ans = pl3.cal_intersection_line3(pl4)
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print(pl3, pl4, actual_ans)
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logging.info(f"正确答案：{correct_ans} 实际答案：{actual_ans}")
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assert actual_ans == correct_ans
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