正确答案:×
①确定初始区间令x1=x0=0.1,f1=0.81x2=x0+h=0.3,f2=0.49x3=x0+2h=0.5,f3=0.25x4=x0+4h=0.9,f4=0.01x5=x0+8h=1.7,f5=0.49故初始区间[a,b]=[x3,x5]=[0.5,1.7]。②缩小区间第一次缩小区间x1=a+0.382(b一a)=0.5+0.382(1.7一0.5)=0.9584,f1=0.0017x2=a+0.618(b一a)=0.5+0.618(1.7一0.5)=1.2416,f2=0.0584因f1<f2,新区散错刚祖哪间[a,b]=[0.5,1.2416]。因b一a=1.2416—0.5=0.7416>0.3,还应进行下一次缩小区间运盐星迅非牛手活束专苏算。第二次缩小区间令x2=x1=0.9584,f2=f1=0.0017x1=0.5+0.382×0.7416=0.7833,f1=0.047f1>f2,[a,b]=[0.7833,1.2416],b—a=0.4583>0.3第三次缩小区间令x1=x2=0.9584,f1=f2=0.0017x2=0.7833+0.618×0.4583=轴础1.0665,f2=0.0044f1<f2,[a,b]=[0.7833,1.0665],b-a=0.2832<ε一维搜索结束,满足给定精度的解是:x*=0.5(0.7833+1.0665)=0.9249,f*=0.0056
①确定初始区间令x1=x0=0.1,f1=0.81x2=x0+h=0.3,f2=0.49x3=x0+2h=0.5,f3=0.25x4=x0+4h=0.9,f4=0.01x5=x0+8h=1.7,f5=0.49故初始区间[a,b]=[x3,x5]=[0.5,1.7]。②缩小区间第一次缩小区间x1=a+0.382(b一a)=0.5+0.382(1.7一0.5)=0.9584,f1=0.0017x2=a+0.618(b一a)=0.5+0.618(1.7一0.5)=1.2416,f2=0.0584因f1<f2,新区散错刚祖哪间[a,b]=[0.5,1.2416]。因b一a=1.2416—0.5=0.7416>0.3,还应进行下一次缩小区间运盐星迅非牛手活束专苏算。第二次缩小区间令x2=x1=0.9584,f2=f1=0.0017x1=0.5+0.382×0.7416=0.7833,f1=0.047f1>f2,[a,b]=[0.7833,1.2416],b—a=0.4583>0.3第三次缩小区间令x1=x2=0.9584,f1=f2=0.0017x2=0.7833+0.618×0.4583=轴础1.0665,f2=0.0044f1<f2,[a,b]=[0.7833,1.0665],b-a=0.2832<ε一维搜索结束,满足给定精度的解是:x*=0.5(0.7833+1.0665)=0.9249,f*=0.0056