剧情提要：
[机器小伟]在[工程师阿伟]的陪同下进入了[九转金丹]之第四转的修炼。
这次要研究的是[复习题]。
正剧开始：
星历2016年04月21日 15:22:06, 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[复习题]。
<span style="font-size:18px;">#7
def incomeTax(x):
#不用交所得税的上限
bound = 2000;
#超过部分
over = x - bound;
#应交税额：
tax = 0;
if over <= 500:
tax = over * 0.05;
elif over <= 2000:
tax = 500*0.05 + (over-500) * 0.1;
elif over <= 5000:
tax = 500*0.05 + 1500*0.1 + (over-2000) * 0.15;
else:
pass;
return tax;</span>
<span style="font-size:18px;"> if (1) {
var r = 20;
config.setSector(1,1,1,1);
config.graphPaper2D(0, 0, r);
config.axis2D(0, 0,180, 1);
//坐标轴设定
var scaleX = 2*r, scaleY = 2*r;
var spaceX = 2, spaceY = 2;
var xS = -10, xE = 10;
var yS = -10, yE = 10;
config.axisSpacing(xS, xE, spaceX, scaleX, 'X');
config.axisSpacing(yS, yE, spaceY, scaleY, 'Y');
var transform = new Transform();
//存放函数图像上的点
var a = [];
//需要显示的函数说明
var f1 = 'y=2x^3-4x^2-3x+1';
//函数描点
for (var x = xS; x <= xE; x+=0.3) {
if (x != 0) {
a.push([x, funTask(x)]);
}
}
//二分法求函数的零点
//区间的最小值和最大值
var minX = 2, maxX = 4;
var y1 = y2 = 0;
x = minX;
y1 = funTask(x);
x = maxX;
y2 = funTask(x);
//如果在给定区间上存在有零点
if (y1 * y2 < 0) {
var epsilon = 0.000001;
while (Math.abs(y1-y2) > epsilon) {
x = minX;
y1 = funTask(x);
x = maxX;
y2 = funTask(x);
x = (minX+maxX)/2;
y = funTask(x);
if (y * y1 < 0) {
maxX = x;
}
else {
minX = x;
}
}
plot.setFillStyle('blue')
.fillText('零点：x = '+ ((minX+maxX)/2).toFixed(3), -200, -60, 120);
}
//存放临时数组
var tmp = [];
//显示变换
if (a.length > 0) {
a = transform.scale(transform.translate(a, 0, 0), scaleX/spaceX, scaleY/spaceY);
//函数1
tmp = [].concat(a);
shape.pointDraw(tmp, 'red');
tmp = [].concat(a);
shape.multiLineDraw(tmp, 'pink');
plot.setFillStyle('red');
plot.fillText(f1, 100, -90, 200);
}
}</span>
<span style="font-size:18px;"> if (1) {
var r = 20;
config.setSector(1,1,1,1);
config.graphPaper2D(0, 0, r);
config.axis3D(0, 0, 0, 180);
var transform = new Transform();
var a = 2*r, b = 1*r, h = 4*r;
var array = shape.ellipse(a, b);
var size = array.length;
var topFace = [], bottomFace = [];
for (var i = 0; i < size; i++) {
topFace.push([array[i][0], array[i][1]]);
bottomFace.push([array[i][0], array[i][1]-1.5*h]);
}
//topFace = transform.flipY(topFace);
//bottomFace = transform.flipY(bottomFace);
//垂直侧面的处理
var size = topFace.length;
var vertFace = [];
for (var i = 0; i < size; i++) {
vertFace.push([topFace[i][0], topFace[i][1], bottomFace[i][0], bottomFace[i][1]]);
}
//圆柱
shape.faceDraw(vertFace, 'blue', 1);
shape.strokeDraw([].concat(bottomFace), 'pink');
shape.fillDraw([].concat(topFace), 'red');
//圆锥
topFace = transform.scale(topFace, 2);
shape.fillDraw([].concat(topFace), 'red');
vertFace = [];
for (var i = 0; i < size; i++) {
vertFace.push([topFace[i][0], topFace[i][1], 0, 2*h]);
}
shape.faceDraw(vertFace, 'red', 1);
}
</span>
<span style="font-size:18px;"> if (1) {
var r = 20;
config.setSector(1,1,1,1);
config.graphPaper2D(0, 0, r);
config.axis3D(0, 0, 0, 180);
var transform = new Transform();
var a = 6*r, b = 1*r, h = 4*r;
var array = shape.nEdge(0, 0, a, 4);
var array2 = transform.scale(array, 0.6);
var size = array.length;
var topFace = [], bottomFace = [];
for (var i = 0; i < size; i++) {
topFace.push(shape.point3D(array[i][0], h, array[i][1]));
bottomFace.push(shape.point3D(array2[i][0], -h, array2[i][1]));
}
//topFace = transform.flipY(topFace);
//bottomFace = transform.flipY(bottomFace);
//垂直侧面的处理
var size = topFace.length;
var vertFace = [];
for (var i = 0; i < size; i++) {
vertFace.push([topFace[i][0], topFace[i][1], bottomFace[i][0], bottomFace[i][1]]);
}
//台柱
shape.faceDraw(vertFace, 'blue', 1);
shape.strokeDraw([].concat(bottomFace), 'pink');
shape.fillDraw([].concat(topFace), 'red');
}
</span>
<span style="font-size:18px;">>>>
共有64个小正方体。
0面着色的有 8 个面。
1面着色的有 24 个面。
2面着色的有 24 个面。
3面着色的有 8 个面。
4面着色的有 0 个面。
5面着色的有 0 个面。
6面着色的有 0 个面。
#9 正方体着色统计
def cubicPaint(N):
#N为每条棱长分割的段数
a = [];
for z in range(N):
for y in range(N):
for x in range(N):
a.append([x, y, z]);
#print(a);
size = len(a);
b = [6]*size;
#print(b);
for i in range(size):
for j in range(i, size):
xdiff = abs(a[i][0] - a[j][0]);
ydiff = abs(a[i][1] - a[j][1]);
zdiff = abs(a[i][2] - a[j][2]);
#对于相邻的立方体只有一个坐标相差1，其余都相同。
if (xdiff + ydiff + zdiff == 1):
b[i]-=1;
b[j]-=1;
#统计n面涂色的数量。
b1 = [0]*7;
for i in range(size):
for j in range(7):
if (b[i] == j):
b1[j]+=1;
break;
print('共有{0}个小正方体。'.format(size));
for i in range(7):
print('{0}面着色的有 {1} 个面。'.format(i, b1[i]));
</span>
<span style="font-size:18px;">#题5
>>>
等比数列： [100, 50.0, 25.0, 12.5, 6.25, 3.125, 1.5625, 0.78125, 0.390625, 0.1953125]
前10项和是：199.8046875
>>> 0.1953125/2
0.09765625
>>> 199.8046875*2-100
299.609375
#等比数列
def geometricSequence(a0, q, N):
seq = [];
for i in range(N):
seq.append(a0);
a0 *= q;
print('等比数列： ', seq);
print('前{0}项和是：{1}'.format(N, sum(seq)));
#return sum(seq);
def tmp():
a0 = 100;
q = 0.5;
N = 10;
geometricSequence(a0, q, N)
</span>
<span style="font-size:18px;">#1
def weekday(N):
days = ['Sun', 'Mon', 'Tue', 'Wed', 'Thu', 'Fri', 'Sat'];
return days[N%7];
#2
def fun(x):
return 2*x**3-4*x**2-3*x+1;
def bisection(xMin, xMax):
if fun(xMin)*fun(xMax) > 0:
return float('inf');
elif fun(xMin) == 0:
return xMin;
elif fun(xMax) == 0:
return xMax;
else:
epsilon = 10e-6;
while (abs(xMin-xMax)> epsilon):
xMid = (xMin+xMax)/2;
if (fun(xMid)*fun(xMin)< 0):
xMax = xMid;
elif (fun(xMid)*fun(xMax) < 0):
xMin = xMid;
else:
return xMid;
return xMid;
#3
def palindrome(N):
s = str(N);
size = len(s);
if (size < 2):
return False;
for i in range(size//2):
if (s[i] != s[-(i+1)]):
print('第{0}位： {1}和{2}不相同'.format(i, s[i], s[-(i+1)]));
return False;
return True;
def tmp():
a = [123, 1234, 1221, 10011001, 132434231];
for i in range(len(a)):
print(a[i], '-->', palindrome(a[i]));
</span>
<span style="font-size:18px;"> if (1) {
var r = 20;
config.setSector(1,1,1,1);
config.graphPaper2D(0, 0, r);
config.axis2D(0, 0,180);
//坐标轴设定
var scaleX = 2*r, scaleY = 2*r;
var spaceX = 5, spaceY = 1000;
var xS = -10, xE = 30;
var yS = -5000, yE = 5000;
config.axisSpacing(xS, xE, spaceX, scaleX, 'X');
config.axisSpacing(yS, yE, spaceY, scaleY, 'Y');
var transform = new Transform();
//存放函数图像上的点
var a = [];
//需要显示的函数说明
var f1 = 'y=1.3*x^3-26.013*x^2+0.975*x-19.50975';
//函数描点
for (var x = xS; x <= xE; x+=0.3) {
if (x != 0) {
a.push([x, funTask(x)]);
}
}
//二分法求函数的零点
//区间的最小值和最大值
var minX = 20, maxX = 21;
var y1 = y2 = 0;
x = minX;
y1 = funTask(x);
x = maxX;
y2 = funTask(x);
//如果在给定区间上存在有零点
if (y1 * y2 < 0) {
var epsilon = 0.000001;
while (Math.abs(y1-y2) > epsilon) {
x = minX;
y1 = funTask(x);
x = maxX;
y2 = funTask(x);
x = (minX+maxX)/2;
y = funTask(x);
if (y * y1 < 0) {
maxX = x;
}
else {
minX = x;
}
}
plot.setFillStyle('blue')
.fillText('零点：x = '+ ((minX+maxX)/2).toFixed(3), -200, -60, 120);
}
//存放临时数组
var tmp = [];
//显示变换
if (a.length > 0) {
a = transform.scale(transform.translate(a, 0, 0), scaleX/spaceX, scaleY/spaceY);
//函数1
tmp = [].concat(a);
shape.pointDraw(tmp, 'red');
tmp = [].concat(a);
shape.multiLineDraw(tmp, 'pink');
plot.setFillStyle('red');
plot.fillText(f1, 100, -90, 200);
}
}
}
function funTask(x) {
return 1.3*x*x*x-26.013*x*x+0.975*x-19.50975;
}</span>
至此为止。
<span style="font-size:18px;"> if (1) {
var r = 20;
var stat = new Statistic();
var data = [
[10,7],
[10,6],
[9,2],
//
[10,4],
[10,2],
[12,10],
[8,6],
//
[5,3],
[8,2],
[6,4],
//
[18,9],
[14,9],
[13,8],
//
[7,3],
[11,7],
[8,6]
];
text = ['集', '函', '用', '体', '面', '线', '圆', '算', '统', '率', '三', '向', '变', '解', '列', '式'];
var len = data.length;
var data2 = new Array(len);
for (var i = 0; i < len; i++) {
data2[i] = 0;
for (var j = 0; j < 2; j++) {
data2[i] += data[i][j];
}
}
var sum = 0;
for (var i = 0; i < len; i++) {
sum += data2[i];
}
stat.init(data, '章节', '复习题数', 2);
stat.multiBarChart(text, ['A组', 'B组'], -10, 0);
plot.setFillStyle('blue')
.fillText('总计：'+sum.toFixed(0), 60, 30, 200);
}
</span>
至此，[人叫板老师]赐给[机器小伟]的主修功法[天地人正册]， 小伟已经全部修炼完毕了。
其中共有题：
>>> 245+548+247
1040
[人叫板老师]称其为千人斩。
本节到此结束，欲知后事如何，请看下回分解。
时间： 2024-11-03 20:54:29