The paper deduces simple slope Bishop calculation formula with slip circle coordinate as the parameter,the paper applies simplex algo-rithm to explore its critical slip surface,formulates its critical slip surface software,and applies it into the deep excavation cut slope of Wanning-Danzhou-Yangpu on Hainan highway line. Practice proves that:simplex algorithm can fast and accurately explore the critical slip surface.%推导了以滑面圆心坐标为参数的均质简单边坡 Bishop 计算式，采用单纯形算法搜索该类边坡的临界滑裂面，编制了搜索临界滑面软件，用于海南横线万宁-儋州-洋浦高速公路某深挖路堑边坡，实践证明，单纯形算法可快速、准确的搜索到临界滑面。
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