Casio 3950P, Programming Manual

Page: 31 / 48

29
20 The distance between a line and a point
The distance between a point and a straight line
, as in the diagram on the right, is given by the
formula:
Program
？→ Ｘ：？→ Ｙ：？→ Ａ：？→ Ｂ：√（ （ＡＸ － Ｙ ＋ Ｂ）÷（１＋ Ａ
２
））→ Ｄ：Ｄ ＜
38 STEP
＞
INPUT
Ｘ
,
Ｙ
: co-ordinates of the point
A
(
X, Y
) A : gradient B : y-intercept
OUTPUT
Ｄ
: the distance between the line
y
=
A
x
+
B
and the point
A
(
X, Y
)
Execution Example:
Calculate the distance between the point (3, 4) and the straight line .
A x y ( , )
y ax b + =
AH
ax y – b +
1 a
2
+
------------------------ =
A
H
(
x, y
)
y=ax+b
ON MODE MODE MODE 1
PRGM
MODE 1
COMP
1
P1
y 7 x 9 + =
Prog 1
S A D R P1 P1 P2 P3 P4 G
3 EXE 4 EXE
S A D R P1 P1 P2 P3 P4 G
7 EXE 9 EXE
M S A D R P1 P1 P2 P3 P4 G
関数電卓事例集 .book 29 ページ ２００２年９月２日 月曜日 午後６時５１分