Current location - Plastic Surgery and Aesthetics Network - Wedding supplies - 20 13 Mianyang senior high school entrance examination quadrilateral ABCD is a diamond, diagonal AC=8, BD=6, DH⊥AB is at H point, DH and AC intersect at G point, what is gh equal to? There is no simil
20 13 Mianyang senior high school entrance examination quadrilateral ABCD is a diamond, diagonal AC=8, BD=6, DH⊥AB is at H point, DH and AC intersect at G point, what is gh equal to? There is no simil
20 13 Mianyang senior high school entrance examination quadrilateral ABCD is a diamond, diagonal AC=8, BD=6, DH⊥AB is at H point, DH and AC intersect at G point, what is gh equal to? There is no similarity. Solution:

Let AC and BD go to O.

∫ The quadrilateral ABCD is a diamond.

∴AC⊥BD,OD=? BD=3,AO=? AC=4

∴AD=AB=5

Let AH=α, then BH=5-α.

∵DH? =AD? Huh? =25-α?

DH? =BD? -BH? =36-(5-α)?

∴25-α? =36-(5-α)?

α= 1.4,DH=√(25-α? )=4.8

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∴AD∶AH=DG∶GH

5∶ 1.4 =(4.8- growth hormone) ∶ growth hormone

5GH= 1.4×4.8- 1.4GH

6.4GH = 1.4×4.8

GH= 1.05