Transcript of z = 4 x2 y2 y Figure 2 - ms.u-tokyo.ac.jptado/ketpic/sample.pdf · θ θ +π −1 1 cosθ cos(θ...
y = −x
y = −x + 1
y = x − 2
y = x
D
X
Y
P
Q
x
y
O
Figure 1:
x
y
z
22
z = 4 − x2 − y2
Figure 2:
1
1ε
1
ε
Dε
x
y
O
Figure 3:
2
1
A
B
CM
G
◦◦
Figure 4:
ℓ
HP(4, 4)
Fx
y
O
Figure 5:
2
(x − 6
5
)2 +(y + 9
5
)2 = 7225
65
−95
x
y
O
Figure 6:
x2
9+
y2
4= 1
3−3
2
−2
x
y
O
Figure 7:
3
x2 − y2
9 = −1
y = 2x −√
5y = 2x +√
5
x
y
O
Figure 8:
4x + 3y = 12
3
4
x
y
O
Figure 9:
4
y = (x − 3)2
3 x
y
O
Figure 10:
x + y = 1
x2 + y2 = 4
1 2−2
1
2
−2
x
y
O
Figure 11:
A
B CD
E
F
P
Figure 12:
5
A
B C
D
a
b
c
d
Figure 13:
1
3
1
y = 3x
x
y
O
Figure 14:
1 3
1
y = log3 x
x
y
O
Figure 15:
6
π−π
π
−π
y = −20∑
n=1
2 · (−1)n
nsinnx
x
y
O
Figure 16:
A
B C
D E
F
G
H
Figure 17:
7
A
B C
D E
F
G
H
Figure 18:
8
XY
√2
−√
2 x2 + xy + y2 = 3
π4
(3X2 + Y 2 = 6)
x
y
O
Figure 19:
Figure 20:
9
Figure 21:
A
B CD
E
F
P
Figure 22: red line
10
Figure 23:
Figure 24:
11
A B
C
D
EF
Figure 25:
Figure 26:
4
x3
α
Figure 27:
150◦
1−1
−√
32
1
12
x
y
O
Figure 28:
12
θ
θ + π
1−1cos θ
cos(θ + π)
1
−1
sin θ
sin(θ + π)
x
y
O
Figure 29:
1
−1
πx
y
O
Figure 30:
74π
54π
P Q
1−1
1
−1
− 1√2
x
y
O
Figure 31:
13
(8, 6)
x
y
O
Figure 32:
x2
9+
y2
4= 1
−3 3
−2
2
x
y
O
Figure 33:
x2 + y2 = 4 x2 + y2 = 9
−2 2−3 3
−2
2
−3
3
x
y
O
Figure 34:
14
y = x + 2
y = x22
x
y
O
Figure 35:
3
5
A
B
P
x
y
O
Figure 36:
15
−→a
−→b
−→c
Figure 37:
x
y
O
Figure 38:
16
x
y
O
Figure 39:
x
y
OFigure 40:
17
x
y
z
Figure 41:
x
y
z
Figure 42:
18
x
y
z
Figure 43:
A
B
C
x
y
O
Figure 44:
P
e1
e2 x
y
O
Figure 45:
19
P¶
f(e1)
f(e2)x
y
O
Figure 46:
A
Figure 47:
O
A
B
C
D
E
F
G
H
a × b
Figure 48:
OOx
x
y
x
1
−1
Figure 49:
20
OO
x1x2
x
y
x1
x2
1
−1
Figure 50:
21