A mathematics finale question, talk about your ideas

Solution; (1) According to congruence

Is AC equal to AO?

AO is known

Isn’t it?

AD is known

Isn’t it?

Then CD will know

Right?

CDB and AOD are similar

Aren’t they?

CD to OD is equal to BD to AD

OD is known

Is that right?

The answer is out

Isn’t it?

(2) The perpendicular lines drawn through N to the two coordinate axes also intersect P

Q

respectively. The product of those two areas. . Equal to BD*NP/2

*

AC*NQ/2

BD

AC

Already Do you know?

Then wait for

a number. (Calculate by yourself)

Multiply

PN*QN

to maximize it. . Do you know when that was?

That is when PN=QN. .

Which point is N?

It is the intersection point of the straight line X=Y

and the known straight line. .

Draw..see

Is that right?

(3) Generally speaking. . There are three. .

That is,

A

C

M

are right angles

Really?

Then pass

C.

A

make a straight line perpendicular to AC and Y

The two intersections

What about the third miscellaneous one?

It’s actually easy to handle. .

Let AC be the diameter. . Spend a circle

Look at its intersection with the Y axis. .

Ask for the coordinates

Then you can do it yourself

I have to go to bed...