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文章基于一类广义Bemstein基函数定义了圆域有理q-Bézier曲线,通过改变参数q的取值,可以得到一类有理q-Bézier曲线簇,并研究了该类曲线的基本性质及De Casteljau型算法,用二次有理q-Bézier曲线可精确表示圆锥曲线.该方法比现有方法更加灵活,且表示范围更大.数值实例表明,圆域有理q-Bézier曲线的研究具有一定的理论意义与应用价值.“,”Disk rational q-Bézier curves are presented using a class of generalized Bernstein basis.A family of disk rational q-Bézier curves can be obtained by changing the value of parameter q.The basic properties of this kind of rational curves are discussed.De Casteljau type algorithm of disk rational qBézier curves is also considered.The quadratic disk rational q-Bézier curve can be used to represent conic section accurately.The proposed method is more flexible than the existing methods,and it indicates a larger range.Some numerical examples demonstrate that the study of disk rational q-Bézier curves is of theoretical importance and practical significance.