The Distance Between A Line And A Point - Casio fx-3650P Programming Manual

20

The distance between a line and a point

The distance between a point
y = ax + b
, as in the diagram on the right, is given by the
formula:
ax y –
AH = ----------------------- -
1 +
ON MODE MODE
？→ Ｘ：？→ Ｙ：？→ Ａ：？→ Ｂ：√ （ （ＡＸ － Ｙ ＋ Ｂ） ÷ （１＋ Ａ
INPUT Ｘ,Ｙ: co-ordinates of the point
OUTPUT Ｄ: the distance between the line
Calculate the distance between the point (3, 4) and the straight line
Prog 1
EXE
3 4
7 EXE 9
y
A x ( , )
+ b
2
a
MODE
EXE
EXE
and a straight line
PRGM
COMP
1 MODE
A X, Y
( ) A : gradient B : y-intercept
y A B
= x +
S A
S A
S A
M
A
(x, y)
1 1
２
） ） → Ｄ：Ｄ ＜ 38 STEP ＞
A X, Y
and the point (
y = 7x +
P1 P1 P2 P3 P4
P1 P1 P2 P3 P4
P1 P1 P2 P3 P4
y=ax+b
H
)
9
.
D R G
D R G
D R G
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