Kiểm tra 1 tiết môn: Hình học - Lớp 9

 Họ và tên: ................................................. Kiểm tra 1 tiết
 Lớp: ... Môn: Hình học - Lớp 9
đề số 1
Bài 1:(3 điểm). Góc nội tiếp là gì ? Nêu định lí về số đo góc nội tiếp, chứng minh định lí này trong trường hợp tâm đường tròn nằm trên một cạnh của góc.
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 2cm
 1,5cm
 =1,5cm 
Bài 2: (2 điểm) Tính diện tích hình vành khăn (gạch sọc) với 3,14.
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Bài 3: (5 điểm). Cho nửa đường tròn (O) đường kính AB. Trên nửa đường tròn đó lấy hai điểm C và D sao cho C thuộc cung AD (Điểm C không trùng với điểm A, điểm D không trùng với điểm B). Đường thẳng AC cắt đường thẳng BD tại M, đường thẳng AD cắt đường thẳng BC tại I. Chứng minh rằng:
a) Tứ giác MCID là tứ giác nội tiếp được trong đường tròn.
b) MA.MC = MB.MD.
c) OC là tiếp tuyến của đường tròn ngoại tiếp tứ giác MCID.
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 Họ và tên: ................................................. Kiểm tra 1 tiết
 Lớp: ... Môn: Hình học - Lớp 9
đề số 2
Bài 1:(3 điểm). Góc ở tâm là gì ? Nêu định lí về số đo góc tạo bởi tia tiếp tuyến và dây cung, chứng minh định lí này trong trường hợp tâm đường tròn nằm trên cạnh chứa dây cung.
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 2,5cm
 2cm
 =1,5cm 
Bài 2: (2 điểm) Tính diện tích hình vành khăn (gạch sọc) với 3,14.
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Bài 3: (5 điểm). Cho nửa đường tròn (O) đường kính MN. Trên nửa đường tròn đó lấy hai điểm P và Q sao cho P thuộc cung MQ (Điểm P không trùng với điểm M, điểm Q không trùng với điểm N). Đường thẳng MP cắt đường thẳng NQ tại R, đường thẳng MQ cắt đường thẳng NP tại I. Chứng minh rằng:
a) Tứ giác RPIQ là tứ giác nội tiếp được trong đường tròn.
b) RM.RP = RN.RQ.
c) OP là tiếp tuyến của đường tròn ngoại tiếp tứ giác RPIQ.
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