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“贾宪三角”(旧称“杨辉三角”)是我们祖先最先发现的,是中学生们都熟悉的数字图形,它有很多有趣的特点,是解决许多有关问题的“工具”模型。贾宪三角的一些规律、特点有可能推广到空间数字图形。例如,贾宪三角中有这样一条性质:“每一行数字之和是2的幂值。”应用贾宪三角构造原则,运用一定技巧,我们可以构建一些特殊的空间数字模型,它们与贾宪三角存在一定的联系,同时又具有新的规律属性,有待人们对它们进一步探索。例如,我们用下述方法构建的“三棱锥数字模型”和“四棱锥数字模型”,它们的每个数字平
The “Jianxian Triangle” (formerly known as the “Yanghui Triangle”) was first discovered by our ancestors. It is a digital figure that all middle school students are familiar with. It has many interesting features and is a “tool” model for solving many problems. Some laws and characteristics of the Jiaxian triangle may be extended to spatial digital graphics. For example, Jia Xian’s triangle has such a property: “The sum of the numbers in each row is the power value of 2.” Applying Jia Xian’s triangular construction principle and applying certain skills, we can build some special spatial digital models, and they are in the triangle with Jia Xian. There is a certain connection, and at the same time, it has new laws and attributes that are yet to be further explored by people. For example, we use the following method to build a “trigonal pyramid digital model” and a “quad pyramidal digital model”, each of which is flat.