-
17
| 1 | 2 | 3 | 4 |
:
14-22
.
:
..
2012
:
1. 1..3-5
2. 26-10
3. 3.11-14
4. 4.15-17
1
1. :
if , . , f1 (x,y), f2 (x,y). . x y .
| X |
| -3 |
| y + x = 4 |
| y |
2. .
P AAAAZHJzL2Rvd25yZXYueG1sTI/BTsMwDIbvSLxDZCRuLCWDFUrTCRAFoZ0YCK5ZY9pqiVM12Vbe HiMOcLT96ff3l8vJO7HHMfaBNJzPMhBITbA9tRreXuuzKxAxGbLGBUINXxhhWR0flaaw4UAvuF+n VnAIxcJo6FIaCilj06E3cRYGJL59htGbxOPYSjuaA4d7J1WWLaQ3PfGHzgx432GzXe+8huwpzB9d XZvt+/PdZfqglV095Fqfnky3NyASTukPhh99VoeKnTZhRzYKp2Geq2tGNVzkCgQDv4sNk0otQFal /F+h+gYAAP//AwBQSwECLQAUAAYACAAAACEAtoM4kv4AAADhAQAAEwAAAAAAAAAAAAAAAAAAAAAA W0NvbnRlbnRfVHlwZXNdLnhtbFBLAQItABQABgAIAAAAIQA4/SH/1gAAAJQBAAALAAAAAAAAAAAA AAAAAC8BAABfcmVscy8ucmVsc1BLAQItABQABgAIAAAAIQDF3tgG/wEAAAYEAAAOAAAAAAAAAAAA AAAAAC4CAABkcnMvZTJvRG9jLnhtbFBLAQItABQABgAIAAAAIQA4bQZT3QAAAAoBAAAPAAAAAAAA AAAAAAAAAFkEAABkcnMvZG93bnJldi54bWxQSwUGAAAAAAQABADzAAAAYwUAAAAA " strokecolor="black [3040]" strokeweight="1.5pt">
| x, y |
| x, y, f |
| x, y |
------------[ ((x<=3&&y<=3&&x>=0&&y>=0)
||(x<=0&&x>=-3&&y>=0&&y<=3)
||(x>=0&&y<=0&&(x*x+y*y)<=4))
| f=sin(x)*sin(x)+log(fabs(y)) |
| f=(x+sin(y))/cos(x*y) |
| f=, f |
3. .
#include<iostream>
#include<math.h>
using namespace std;
void main ()
{
setlocale(LC_ALL,"rus_rus.1251");
float x,y,f;
cout<<" x,y"<<endl;
cin>>x>>y;
if ((x<=3 && y<=3 && x>=0 && y>=0)
|| (x<=0 && x>=-3 && y>=0 && y<=3)
|| (x>=0 && y<=0 && (x*x+y*y)<=4))
{
f=sin(x)*sin(x)+log(fabs(y));
cout<<""<<endl;
}
else
{
f=(x+sin(y))/cos(x*y);
cout<<" "<<endl;
|
|
|
}
cout<<"f="<<f;
}
4. :
x, y
f= 1,92543
2
1. :
for y. if . m n . i j , .
a)
n>=2
)
2. .
)
| s,a,p, pi=3.1415, n,k,i |
| n |
| n>2,n |
| K=2; k<=n; k++ |
| i=1;i<=(k-1); i++ |
| a=sin(pi*i/k) |
| s+=p |
| p*=a |
| s=0 |
| p=1 |
| s=, s |
| s+=exp(cos(pi*i/8*m)) |
| s,pi=3.1415 I,n,m |
| n>2, m |
| n,m |
| i=2; i<=m*n; i++ |
| s=,s |
| s=0 |
3. .
)
#include<iostream>
#include<math.h>
using namespace std;
void main()
{
setlocale(LC_ALL,"rus_rus.1251");
float s,a,p,pi=3.1415;
int n,k,i;
cout<<" n > 2"<<endl;
cin>>n;
s=0;
for(k=2; k<=n;k++)
{
p=1;
for(i=1; i<=(k-1); i++)
{
a=sin(pi*i/k);
p*=a;
}
s+=p;
}
cout<<"s="<<s;
}
)
#include<iostream>
#include<math.h>
using namespace std;
void main()
{
setlocale(LC_ALL,"rus_rus.1251");
float s,pi=3.1415;
int i,n,m;
cout<<" n>2 m "<<endl;
cin>>n>>m;
s=0;
for(i=2; i<=m*n; i++)
{
s+=exp(cos(pi*i/8*m));
}
cout<<"s="<<s;
}
4. .
)
n > 2
S= 2.25004
)
n>2 m
2 3
s=3.35391
3
1. :
: 10 ; . pow() ! , .. 
D(n) . x .
: (
: 
: 
: 0.1 
x 1
2. D(n)
D= 
= 
= 
3. :
| s,b,x,n,y,d,a |
| 0.1<=x<=1 |
| x |
| s=0 y=1 |
| n=1;n<=10;n++ |
|
|
|
| -----------[d=((n*n+1)*x)/(2*n*((n-1)*(n-1)+1))] |
| y*=d |
| s+=y |
| " ",n, " ",d |
| =, b |
| = , a |
| b=fabs(a-s) |
| a=(x*x/4+x/2+1)*exp(x/2) |
| ------------[" = ",s] |
4. .
#include<iostream>
#include<math.h>
using namespace std;
void main()
{
setlocale(LC_ALL,"rus_rus.1251");
int n;
float d,a,x,s,b,y;
cout<<" 0.1<=x<=1"<<endl;
cin>>x;
s=1;
y=1;
for(n=1;n<=10;n++)
{
d=((n*n+1)*x)/(2*n*((n-1)*(n-1)+1));
y*=d;
s+=y;
cout<<" "<<n<<" "<<d<<endl;
}
a= (x*x/4+x/2+1)*exp(x/2);
b=fabs(a-s);
cout<<" = "<<a<<endl;
cout<<" = "<<b<<endl;
cout<<" = "<<s<<endl;
}
5. .
0.1<= x<=1
0.66
1 0.66
2 0.4125
3 0.22
4 0.14025
5 0.100941
6 0.0782692
7 0.0637066
8 0.0503625
9 0.0462564
10 0.0406463
= 2,00146
= 0
= 2.00146
4
1. :
, , .
2. :
| max=0; min=100; xmax=0; ymin=0; |
| i=1;i<6; i++ |
| j=1; j<6; j++ |
| a[i][j]=rand()%89+10 |
| a[i][j], |
| -------------[max,min,xmin,xmax,ymin,ymax, i,j,a[6][6]] |
| j=1; j<6; j++ |
| i=1; i<6; i++ |
| a[i][j]>max |
| ymax=j |
| max=a[i][j] |
| xmax=i |
| a[i][j]<min |
| min=a[i][j] |
| xmin=i |
| ymin=j |
| --------[" = ",min," = "xmin," = ",ymin] |
| ------[ =,max," = ",xmax," = "<<ymax] |
3. .
#include<iostream>
#include <math.h>
using namespace std;
void main ()
{
setlocale(LC_ALL,"rus_rus.1251");
int max,min,xmin,xmax,ymin,ymax,i,j,a[6][6];
max=0;
min=100;
xmax=0;
ymin=0;
for (i=1;i<6;i++)
{
for (j=1;j<6;j++)
{
a[i][j]=rand()%89+10;
cout<<a[i][j]<<" ";
}
cout<<endl;
}
cout<<endl;
for (i=1;i<6;i++)
for (j=1;j<6;j++)
{
if (a[i][j]>max)
{
max=a[i][j];
xmax=i;
ymax=j;
}
if (a[i][j]<min)
{
min=a[i][j];
xmin=i;
ymin=j;
}
}
cout<<" = "<<max<<endl<<" = "<<xmax<<endl<<" = "<<ymax<<endl;
cout<<" = "<<min<<endl<<" = "<<xmin<<endl<<" = "<<ymin<<endl;
}
4. .
51 54 25 77 44
70 96 87 94 88
19 31 62 16 92
56 68 26 31 17
94 18 85 74 35
= 96
= 2
= 2
= 16
= 3
= 4
