191 lines
6.6 KiB
Plaintext
191 lines
6.6 KiB
Plaintext
====== 提示词 ======
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你是一位资深 Manim 动画工程师，专注于教育场景。请遵循以下规范：
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1. 仅输出 Python 代码，不解释思路。
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2. 使用 Manim 社区版 v0.18.0 语法。
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3. 严格按提示的步骤进行编码，不要发挥、扩展。
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4. 所有公式用 MathTex，文字用 Text（更好地支持中文），颜色统一用 Manim 内置调色板。
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5. 关键坐标用常量定义在类顶部，例如 LEFT_MARGIN = 3.2。
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6. 每行不超过 88 字符，函数名用 snake_case。
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7. 动画时长 3-5 秒 / 步，默认 ease-in-out。
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8. 请严格按照以下模板：坐标轴范围、颜色、字体统一使用 Manim 社区版默认主题。
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9. 代码的最后，参考下面的代码添加相应内容:
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if __name__ == "__main__":
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# 导入必要的模块
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import sys
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import os
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# 设置 UTF-8 编码
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os.environ['PYTHONIOENCODING'] = 'utf-8'
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sys.stdout.reconfigure(encoding='utf-8')
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sys.stderr.reconfigure(encoding='utf-8')
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# 全局指定 ctex 模板（一次性）
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config.tex_template = TexTemplateLibrary.ctex
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# 使用临时配置渲染场景（配置只在with块内有效）
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with tempconfig({
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"quality": "high_quality",
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"background_color": WHITE,
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"preview": True
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}):
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# 实例化场景类
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scene = ParabolaUp()
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# 执行渲染流程（包含文件生成和预览）
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scene.render()
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10. 【输出要求】
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(1). 完整可运行 Python 脚本，文件名 ParabolaUp.py。
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(2). 场景类名 ParabolaUp。
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(3). 包含 `if __name__ == "__main__":` 可直接 `manim -pql ParabolaUp.py ParabolaUp`。
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(4). 代码内只出现中文注释，方便二次修改。
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本成的具体需求如下：
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{XuQiu}
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====== 生成结果 ======
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```python
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from manim import *
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class ParabolaUp(Scene):
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# 定义常量坐标
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X_MIN, X_MAX = -4, 4
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Y_MIN, Y_MAX = -3, 5
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LEGEND_X = 3.5
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LEGEND_Y_START = 3
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LABEL_X = 2.0
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def construct(self):
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# 创建坐标轴系统
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axes = Axes(
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x_range=[self.X_MIN, self.X_MAX, 1],
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y_range=[self.Y_MIN, self.Y_MAX, 1],
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axis_config={"color": BLACK}
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)
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axes_labels = axes.get_axis_labels(x_label="x", y_label="y")
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title = Text("二次函数图像", font_size=24, color=BLACK).to_edge(UP)
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# 创建三个二次函数图像
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graph1 = axes.plot(
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lambda x: 0.5 * x**2,
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color=BLUE,
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x_range=[self.X_MIN, self.X_MAX]
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)
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graph2 = axes.plot(
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lambda x: -0.5 * x**2,
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color=RED,
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x_range=[self.X_MIN, self.X_MAX]
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)
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graph3 = DashedVMobject(
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axes.plot(lambda x: 0, color=GREEN, x_range=[self.X_MIN, self.X_MAX]),
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num_dashes=50
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)
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# 创建函数表达式标签
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label1 = MathTex(r"y = 0.5x^2", font_size=24, color=BLUE)
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label1.move_to(axes.c2p(self.LABEL_X, 0.5 * self.LABEL_X**2 + 0.5))
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label2 = MathTex(r"y = -0.5x^2", font_size=24, color=RED)
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label2.move_to(axes.c2p(self.LABEL_X, -0.5 * self.LABEL_X**2 - 0.5))
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label3 = MathTex(r"y = 0", font_size=24, color=GREEN)
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label3.move_to(axes.c2p(self.LABEL_X, 0.5))
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# 创建顶点标记
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vertex_dot = Dot(axes.c2p(0, 0), color=BLACK, radius=0.08)
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vertex_label = Text("顶点(0,0)", font_size=20, color=BLACK)
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vertex_label.next_to(vertex_dot, DOWN, buff=0.1)
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# 创建图例
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legend_group = VGroup()
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colors = [BLUE, RED, GREEN]
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labels = ["a>0", "a<0", "a=0"]
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styles = [None, None, DashedLine]
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for i, (color, text, style) in enumerate(zip(colors, labels, styles)):
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y_pos = self.LEGEND_Y_START - i * 0.8
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pos = axes.c2p(self.LEGEND_X, y_pos)
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if style is DashedLine:
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line = DashedLine(
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start=pos + LEFT*0.5,
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end=pos + RIGHT*0.5,
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color=color,
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dash_length=0.1
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)
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else:
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line = Line(
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start=pos + LEFT*0.5,
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end=pos + RIGHT*0.5,
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color=color
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)
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text_item = Text(text, font_size=20, color=BLACK)
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text_item.next_to(line, RIGHT, buff=0.2)
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legend_item = VGroup(line, text_item)
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legend_group.add(legend_item)
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# 动画序列
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self.play(
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Create(axes),
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Write(axes_labels),
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Write(title),
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run_time=2
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)
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self.wait(0.5)
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# 绘制第一条抛物线
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self.play(
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Create(graph1),
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Write(label1),
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run_time=1.5
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)
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self.play(
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Create(vertex_dot),
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Write(vertex_label),
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run_time=1
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)
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self.wait(0.5)
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# 绘制第二条抛物线
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self.play(
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Create(graph2),
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Write(label2),
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run_time=1.5
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)
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self.wait(0.5)
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# 绘制第三条抛物线
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self.play(
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Create(graph3),
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Write(label3),
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run_time=1.5
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)
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self.wait(0.5)
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# 添加图例
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self.play(
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LaggedStart(*[FadeIn(item) for item in legend_group], lag_ratio=0.3),
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run_time=2
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)
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self.wait(2)
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if __name__ == "__main__":
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# 导入必要的模块
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import sys
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import os
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# 设置 UTF-8 编码
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os.environ['PYTHONIOENCODING'] = 'utf-8'
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sys.stdout.reconfigure(encoding='utf-8')
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sys.stderr.reconfigure(encoding='utf-8')
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# 全局指定 ctex 模板（一次性）
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config.tex_template = TexTemplateLibrary.ctex
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# 使用临时配置渲染场景（配置只在with块内有效）
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with tempconfig({
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"quality": "high_quality",
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"background_color": WHITE,
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"preview": True
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}):
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# 实例化场景类
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scene = ParabolaUp()
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# 执行渲染流程（包含文件生成和预览）
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scene.render()
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``` |