diff --git a/AI/Manim/__pycache__/difference_of_squares.cpython-310.pyc b/AI/Manim/__pycache__/difference_of_squares.cpython-310.pyc new file mode 100644 index 00000000..acbc85b8 Binary files /dev/null and b/AI/Manim/__pycache__/difference_of_squares.cpython-310.pyc differ diff --git a/AI/Manim/difference_of_squares.py b/AI/Manim/difference_of_squares.py new file mode 100644 index 00000000..aa5ea88a --- /dev/null +++ b/AI/Manim/difference_of_squares.py @@ -0,0 +1,208 @@ +# difference_of_squares_final.py +from manim import * + +class SquareDifference(Scene): + def construct(self): + # 高清配置 + config.frame_width = 16 + config.frame_height = 9 + config.pixel_height = 1440 + config.pixel_width = 2560 + + # 参数配置 + a = 4 + b = 1 + colors = { + "a": "#1F77B4", + "b": "#FF7F0E", + "text": "#FFFFFF", + "bg": "#2E2E2E" + } + self.camera.background_color = colors["bg"] + step_delay = 2.5 + + # ========== 标题部分 ========== + title = Text("东师理想数学课件生成助手", + font_size=48, + color=colors["text"], + weight=BOLD, + stroke_width=8, + stroke_color=BLACK) + + sub_title = Text("平方差公式可视化演示", + font_size=32, + color=colors["text"], + stroke_width=4, + stroke_color=BLACK).next_to(title, DOWN) + + self.play( + Write(title, run_time=1.5), + FadeIn(sub_title, shift=UP), + run_time=2 + ) + self.wait(step_delay) + self.play( + FadeOut(title, shift=UP), + FadeOut(sub_title, shift=DOWN), + run_time=1.5 + ) + + # ========== 公式推导部分 ========== + formula_steps = VGroup( + MathTex("(", "a", "+", "b", ")(", "a", "-", "b", ")", font_size=40), + MathTex("=", "a", "^2", "-", "b", "^2", font_size=40), + MathTex("=", f"{a**2}", "-", f"{b**2}", font_size=40), + MathTex("=", f"{(a+b)*(a-b)}", font_size=48, color=GREEN) + ).arrange(DOWN, aligned_edge=LEFT, buff=0.8) + + formula_board = SurroundingRectangle( + formula_steps, + color=WHITE, + stroke_width=2, + fill_color=BLACK, + fill_opacity=0.7, + corner_radius=0.2 + ) + + self.play( + DrawBorderThenFill(formula_board), + FadeIn(formula_steps, shift=UP), + run_time=2 + ) + self.wait(step_delay) + + # ========== 坐标系部分（最终修复） ========== + # 使用新版背景线直接生成网格 + axes = Axes( + x_range=[0, a+b+1, 1], + y_range=[0, a+b+1, 1], + x_length=8, + y_length=6, + axis_config={ + "color": colors["text"], + "stroke_width": 3, + "include_numbers": True + } + ).shift(DOWN*0.5) + + + # 大正方形动画 + big_square = Rectangle( + width=a+b, + height=a+b, + color=colors["a"], + fill_opacity=0.4, + stroke_width=4 + ).move_to(axes.c2p((a+b)/2, (a+b)/2)) + + self.play( + formula_board.animate.scale(0.8).to_edge(UP, buff=0.5), + Create(axes, run_time=2), + DrawBorderThenFill(big_square), + run_time=2 + ) + self.wait(step_delay) + + + # ========== 剩余动画部分 ========== + # 垂直分割线 + v_line = Line( + start=axes.c2p(a, 0), + end=axes.c2p(a, a+b), + color=colors["text"], + stroke_width=4 + ) + v_label = MathTex("a", + color=colors["text"], + stroke_width=3, + stroke_color=BLACK).next_to(v_line, RIGHT, buff=0.2) + + # 水平分割线 + h_line = Line( + start=axes.c2p(0, a), + end=axes.c2p(a+b, a), + color=colors["text"], + stroke_width=4 + ) + h_label = MathTex("a", + color=colors["text"], + stroke_width=3, + stroke_color=BLACK).next_to(h_line, UP, buff=0.2) + + self.play( + Create(v_line), + Write(v_label), + Create(h_line), + Write(h_label), + run_time=2 + ) + self.wait(step_delay) + + # ========== 面积计算部分 ========== + part_a = Rectangle( + width=a, + height=a, + color=colors["a"], + fill_opacity=0.6 + ).move_to(axes.c2p(a/2, a/2)) + + part_b = Rectangle( + width=b, + height=a+b, + color=colors["b"], + fill_opacity=0.6 + ).move_to(axes.c2p(a + b/2, (a+b)/2)) + + self.play( + Transform(big_square, part_a), + FadeIn(part_b), + run_time=2 + ) + self.wait(step_delay) + + # 移动并计算面积差 + moved_part = part_b.copy().shift(DOWN*b) + area_diff = Rectangle( + width=b, + height=2*b, + color=RED, + fill_opacity=0.3 + ).move_to(axes.c2p(a + b/2, a - b)) + + self.play( + part_b.animate.shift(DOWN*b), + FadeIn(area_diff), + run_time=2 + ) + self.wait(step_delay) + + # ========== 最终联动 ========== + final_formula = formula_steps[-1].copy() + final_formula.generate_target() + final_formula.target.scale(1.5).move_to(ORIGIN) + + self.play( + MoveToTarget(final_formula), + FadeOut(axes), + FadeOut(part_a), + FadeOut(part_b), + FadeOut(area_diff), + run_time=2 + ) + self.wait(step_delay*2) + + # 结束动画 + self.play( + final_formula.animate.scale(0.5).to_edge(DOWN, buff=1), + run_time=1.5 + ) + self.wait(2) + + # 版权信息 + copyright = Text("© 东师理想 版权所有", + font_size=24, + color=colors["text"], + stroke_width=2, + stroke_color=BLACK).to_edge(DOWN, buff=0.3) + self.play(Write(copyright), run_time=1) + self.wait(3) \ No newline at end of file diff --git a/AI/Manim/安装Manim.txt b/AI/Manim/安装Manim.txt index 3b6f3167..fbfdacd8 100644 --- a/AI/Manim/安装Manim.txt +++ b/AI/Manim/安装Manim.txt @@ -19,7 +19,6 @@ https://mirrors.tuna.tsinghua.edu.cn/CTAN/systems/win32/miktex/setup/windows-x64 # 验证 latex --version - # 6、下载安装 ffmpeg @@ -31,5 +30,10 @@ pip install manim -i https://mirrors.aliyun.com/pypi/simple/ manim --version # 8、测试 -conda activate manim-env -manim -pql D:\dsWork\QingLong\AI\Manim\simple_example.py SimpleScene \ No newline at end of file + + +# 最简单的方框和圆 +manim -pql D:\dsWork\QingLong\AI\Manim\simple_example.py SimpleScene + +# 平方差公式 +manim -pql D:\dsWork\QingLong\AI\Manim\difference_of_squares.py SquareDifference \ No newline at end of file