[从头学数学] 第119节 实数 小结与复习题

剧情提要：
[机器小伟]在[工程师阿伟]的陪同下进入了筑基初期的修炼，
这次要修炼的目标是[实数 小结与复习题]。

正剧开始：

星历2016年03月03日 10:59:03, 银河系厄尔斯星球中华帝国江南行省。
[工程师阿伟]正在和[机器小伟]一起研究[实数 小结与复习题]。

<span style="font-size:18px;">#题1
64^0.5 = 8, 
0.25^0.5 = 0.5, 
(4÷9)^0.5 = 0.667, 
(5^6)^0.5 = 125, 
-(4÷13)^2^0.5 = -0.189, 
(10^6)^0.5 = 1000, 
#题2
-(1÷64)^(1÷3) = -0.25, 
-0.008^(1÷3) = -0.2, 
(27÷8)^(1÷3) = 1.5, 
(3^6)^(1÷3) = 9.0, 
#题3
-(49÷25)^0.5 = -1.4, 
-1^(1÷3) = -1, 
0.16^0.5 = 0.4, 
0.027^(1÷3) = 0.3, </span>

<span style="font-size:18px;">#题4
28^0.5 = 5.292, 
38^0.5 = 6.164, 
99^(1÷3) = 4.626, 
#题5
-94.3^0.5 = -9.711, 
0.43^(1÷3) = 0.755, 
55225^0.5 = 235, 
34012224^(1÷3) = 324.0, 
#题8
2^0.5×(2^0.5+2) = 4.828, 
3^0.5×(3^0.5+1÷3^0.5) = 4.0, </span>

<span style="font-size:18px;">function myDraw() {   
      
    var config = new PlotConfiguration();      
    config.init();      
    config.setPreference();     
    config.setSector(1,1,1,1);  
    config.axis1D(0, 0, 180);  
  
    var r = 180-10;  
    //刻度 scale; graduation ;   
    var scale = r / 10;  
      
    var array = [];  
	var min = Math.ceil(-2*Math.PI), max = Math.ceil(2*Math.PI);
	for (var i = min; i < max; i+=1) {
		array.push(i);
	}
    var size = array.length;  
      
    array.sort(function(a, b) { return a-b;});  
    //plot.fillText(array.join('    '), -100, 50, 400);  
    //存放点阵列  
    var points = [];  
      
    for (var i = 0; i < size; i++) {       
        points.push([array[i]*scale, 0]);  
    }  
      
    //由于shape采用的是弹出数据的方式，所以拷贝一个副本来进行操作  
    var tmp = points;  
      
    shape.pointDraw(tmp, 'green');  
      
    for (var i = 0; i < size; i++) {  
        plot.fillText(array[i].toString(), array[i]*scale-10, 20, 50);  
    }  
  
}</span>

<span style="font-size:18px;">function myDraw() {   
      
    var config = new PlotConfiguration();      
    config.init();      
    config.setPreference();     
    config.setSector(1,1,1,1);  
    config.axis2D(0, 0, 180);  
  
    var r = 180-10;  
    //刻度 scale; graduation ;   
    
      
    var array = [];  
	var min = 0, max = 50;
	for (var i = min; i < max; i+=1) {
		array.push(i);
	}
	var array2 = [1.5, 35];

    var size = array.length;  
      
    array.sort(function(a, b) { return a-b;});  
    //plot.fillText(array.join('    '), -100, 50, 400);  
    //存放点阵列  
    var points = [];  
     
	var scale = r/array[size-1];  
	var s;
    for (var i = 0; i < size; i++) {   
		s = -Math.sqrt(16.88*array[i]);
        points.push([array[i]*scale, s*scale]);  
    }       
      
    shape.pointDraw(points, 'green');  
	
	for (var i = 0; i < 2; i++) {   
		s = -Math.sqrt(16.88*array2[i]);
        points.push([array2[i]*scale, s*scale]);  
    }  
	
	shape.pointDraw(points, 'blue'); 
	
	plot.fillText(Math.sqrt(16.88*1.5).toFixed(3), 20, 50, 50);
	plot.fillText(Math.sqrt(16.88*35).toFixed(3), 20, 100, 50);
	
}</span>

计算工具：

###
# @usage   混合运算
# @author  mw
# @date    2016年01月06日  星期三  09:33:22 
# @param
# @return
#
###
def calc():
    #import traceback;
    fin = open('input.txt');
    fout= open('output.txt', 'a');
    for line in fin.readlines():
        if line[-1] == '\n':
            line = line[:-1];     
            
        if line == '':
            continue;
        elif line.startswith('#'):
            print(line);
            fout.write(line+'\n');
        else:
            try:
                lines = line.split(sep=' ');
                for i in range(len(lines)):
                    if lines[i]=='':
                        continue;
                    try:
                        result = eval(lines[i]);
                        if (abs(result - int(result)) < 0.0001):
                            result = int(result);
                        else:
                            result = round(result, 3);
                        lines[i] = lines[i].replace('**','^');
                        lines[i] = lines[i].replace('*','×');
                        lines[i] = lines[i].replace('//', '÷');
                        lines[i] = lines[i].replace('/', '÷');
                        s = '{0} = {1}'.format(lines[i], result);
                        print(s, end=', ');
                        fout.write(s + ', ');
                    except:
                        #traceback.print_exc();
                        ex = '{0} 表达式有误，无法进行计算。'.format(lines[i]);
                        print(ex);
                        fout.write(ex);
                print('\n');
                fout.write('\n');
            except:
                #traceback.print_exc();
                ex = '{0} 表达式有误，无法进行计算。'.format(lines[i]);
                print(ex);
                fout.write(ex);
            
    fout.write('\n');
    fout.close();
    fin.close();
    return;

本节到此结束，欲知后事如何，请看下回分解。