数学问题、实验假设、试验猜想

1、知识储备 与 问题数学
知识储备:平面与圆锥的接口曲线可能是圆、椭圆、双曲线、抛物线等图形,[br][br]数学问题:平面与正方体的接口曲线会有哪些图形呢?[br][img]data:image/png;base64,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[/img]
2、实验假设
假设平面与正方体有公共点。
3、实验猜想:平面与正方体的接口曲线有:
依据你的想象,在下面输入你的猜想
平面与圆锥相切
平面与正方体相切
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Information: 数学问题、实验假设、试验猜想