三角形の辺と角
Quiz
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
真貴 土井
Used 3+ times
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3 辺の長さが次のような三角形は存在するかどうかを調べよ。
4, 5, 7
存在する
存在しない
Answer explanation
4+5>7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3 辺の長さが次のような三角形は存在するかどうかを調べよ。
7, 12, 19
存在する
存在しない
Answer explanation
7+12<19
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3 辺の長さが次のような三角形は存在するかどうかを調べよ。
13, 6, 6,
存在する
存在しない
Answer explanation
6+6<13
4.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
次のような△ABCについて,3 つの角 ∠A,∠B,∠C の大小関係を調べよ。
a=3, b=4, c=2
∠A<∠B<∠C
∠C<∠B<∠A
∠B<∠A<∠C
∠C<∠A<∠B
∠B<∠C<∠A
Answer explanation
c<a<b
5.
MULTIPLE CHOICE QUESTION
1 min • 3 pts
次のような△ABCについて,3 つの角 ∠A,∠B,∠C の大小関係を調べよ。
∠A=100°, b=5, c=6
∠A<∠B<∠C
∠C<∠B<∠A
∠B<∠A<∠C
∠C<∠A<∠B
∠B<∠C<∠A
Answer explanation
b<c より,∠B<∠C
∠A=100°≧90° より∠Aが最大だから,
∠B<∠C<∠A
6.
MULTIPLE CHOICE QUESTION
1 min • 3 pts
次のような△ABCについて,3 辺の長さ a,b,c の大小関係を調べよ。
∠A=40°, ∠B=60°
a<b<c
a<c<b
b<a<c
b<c<a
c<a<b
Answer explanation
∠C=180°ー(∠B+∠C)=80°
よって,∠A<∠B<∠C
7.
MULTIPLE CHOICE QUESTION
1 min • 4 pts
次のような△ABCについて,3 辺の長さ a,b,c の大小関係を調べよ。
∠A>90°, ∠A=2∠B
a<b<c
a<c<b
b<a<c
c<b<a
c<a<b
Answer explanation
∠A>90° ,∠A=2∠B より,
90°<2∠B<180°
よって45°<∠B<90°
このとき,∠C<45°
ゆえに∠C<∠B<∠A
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