九年級(jí)數(shù)學(xué)課本下冊(cè)答案

字號(hào):

一、選擇題
    1.C 2.D 3.A 4.D 5.C
    二、填空題
    6.110°
    7.65°或115°
    8.2
    9.50°
    10. 24 cm
    三、解答題
    11.解:∵AB是直徑,BC與⊙O相切,
    ∴AB上BC.∴∠ABC =90°
    ∵∠C=25°,∴∠BOD=65°
    ∴∠A =1/2∠BOD=32.5°
    14.(1)證明:連接OC
    ∵ PD切⊙O于點(diǎn)C,
    ∴ OC⊥PD
    ∵BD⊥PD,
    ∴OC∥BD
    ∴∠OCB=∠CBD
    ∵OC= OB,
    ∴∠OCB=∠OBC
    ∴∠CBD=∠OBC
    ∴BC平分∠PBD
    (2)證明:連接AC
    ∵AB是直徑,
    ∴∠ACB =90°=∠D
    ∵∠CBD=∠OBC
    ∴△ACB∽△CDB
    ∴AB/BC=BC/BD
    ∴BC²=AB ·BD.
    (3)解:∵∠PCA +∠ACO = 90°, ∠BCO +∠ACO =90°
    ∴∠ PCA =∠OCB =∠CBO,
    ∵∠P=∠P,
    ∴△PA∽△PCB.
    ∴PC/PB=PA/ PC
    ∴PB=12
    ∴ AB = PB - PA = 6.
    ∴OC=3,PO=9
    ∵OC∥BD
    ∴∠POC = ∠PBD,
    ∵∠P=∠P,
    ∴△PCO∽△PDB,
    ∴OC/BD=PO/PB
    ∴BD =4