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方べきの定理②

Authored by 真貴 土井

Mathematics

8th - 12th Grade

Used 8+ times

方べきの定理②
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5 questions

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1.

FILL IN THE BLANKS QUESTION

2 mins • 2 pts

Media Image

円 O の半径が 3 のとき,xの値を求めよ。

(a)  

Answer explanation

x(x+3)=(7-3)×(7+3)

x2+3x-40=0

(x-5)(x+8)=0

x>0 より x=5

2.

FILL IN THE BLANKS QUESTION

2 mins • 2 pts

Media Image

PA×PB=9 である。

円 O の半径が 5 のとき,OP の値を求めよ。

(a)  

Answer explanation

(5-OP)×(5+OP)=9

OP2=16

OP>0 より OP=4

3.

FILL IN THE BLANKS QUESTION

1 min • 2 pts

Media Image

x の値を求めよ。

(a)  

Answer explanation

(x-4)×4=2×3

2x=11

4.

FILL IN THE BLANKS QUESTION

2 mins • 2 pts

Media Image

x の値を求めよ。

(a)  

Answer explanation

(x-3)×(x+3)=2×(2+4)

x2-9=12

x2=21

x>0 より x=√21

5.

FILL IN THE BLANKS QUESTION

1 min • 2 pts

Media Image

x の値を求めよ。

(a)  

Answer explanation

5×(x+5)=10×10

5x=75

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