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Shanghai junior high school one-model math finale
Solution: (1) ce = ad;

(2)CE= 3

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Reason: A is AM⊥BC in M, D is DN⊥C in N,

AB = AC,DB=DE,∠BAD= 120

∴∠B=30,BN=EN,BM=CM,

∴cos∠B=BN

Bachelor of science

=BM

barium

= 3

2

∴BE= 3

BD,BC= 3

AB,

∠∠BDE =∠BAC,

∴DE∥AC,

∴AD

ab blood type

= EC

B.C.

∴AD

European Commission (European Commission)

=AB

B.C.

= 1

three

∴CE= 3

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(3) The quantitative relationship between CE and AD is CE=2sinα2.

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Proof: AB = AC, DB=DE,

∴AB

decibel

= communication

Delaware

.

∠∠BAC =∠BDE,

∴△ABC∽△DBE.

∴AB

decibel

= BC

exist

,∠ABC=∠DBE,

∴AB

B.C.

=DB

exist

,∠ABD=∠ABC-∠DBC=∠DBE-∠DBC=∠CBE,

∴△ABD∽△CBE,

∴AD

Church of England

=BD

exist

DF⊥BE with point D as point F.

∴∠BDF= 1

2

∠BDE=α

2

∴BE=2BF=2BD? sin∠BDF=2BD? sinα

2

∴AD

Church of England

= 1

2sinα

2

∴CE=2sinα

2

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