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France Team Selection Test
2000 France Team Selection Test
2
France TST 2000 D2Q2
France TST 2000 D2Q2
Source:
March 2, 2013
geometry unsolved
geometry
Problem Statement
A
,
B
,
C
,
D
A,B,C,D
A
,
B
,
C
,
D
are points on a circle in that order. Prove that
∣
A
B
−
C
D
∣
+
∣
A
D
−
B
C
∣
≥
2
∣
A
C
−
B
D
∣
|AB-CD|+|AD-BC| \ge 2|AC-BD|
∣
A
B
−
C
D
∣
+
∣
A
D
−
BC
∣
≥
2∣
A
C
−
B
D
∣
.
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