bài tập hình học lớp 5

... SCD). Hãy xác định mp ( ) α . Mặt phẳng ( ) α cắt hình chóp S.ABCD theo thiết diện là hình gì? Bài 17. Cho hình chóp S.ABCD có đáy ABCD là hình vuông, SA⊥(ABCD). Gọi I là trung điểm của cạnh ... bên của tứ diện là các tam giác vuông b) Tính khoảng cách từ A đến mp (SBC) Bài 15. Cho hình chóp S.ABCD có đáy ABCD là hình vuông cạnh a , SA = a 2 và SA ⊥ (ABCD) , qua A dựng mp( α ) vuông góc ... đáy Bài 12.Cho hình tứ diện ABCD, biết tam giác BCD vuông tại C và ( ) AB BCD⊥ . Chứng minh rằng: a) · BCA là góc giữa hai mp (BCD) và (ACD). Mp(BCA) vuông góc với mp(CDA). Bài 13. Cho hình...

... điểm của các cạnh. GV : TRẦN THANH HOÀNG – THPT NGUYỄN TRÂN Trang 3 BÀI TẬP ƠN TẬP HÌNH HỌC CUỐI CHƯƠNG I LỚP 10 NÂNG CAO Câu 15 : Cho a r =(1 ; 2) và b r = (3 ; 4). Vec tơ m ur = 2 a r +3 b r ... uuur uuur uuur . Bài 2 :Cho bốn điểm A, B, C, D. Gọi I, J lần lượt là trung điểm của AB và CD. GV : TRẦN THANH HỒNG – THPT NGUYỄN TRÂN Trang 2 BÀI TẬP ÔN TẬP HÌNH HỌC CUỐI CHƯƠNG I LỚP 10 NÂNG CAO b) ... BÀI TẬP ÔN TẬP HÌNH HỌC CUỐI CHƯƠNG I LỚP 10 NÂNG CAO a) Chứng minh: AC BD AD BC IJ2+ = + = uuur uuur uuur uuur uur . b)...

... có: BC 2 =DB 2 +CD 2 =(BO+OD) 2 +CD 2 = =BO 2 +2.OB.OD+OD 2 +CD 2 .(1) Mà OB=R.∆AOC cân ở O có OAC=30 o . Hình 20 CI KJ FI AK = MỘT TRĂM BÀI TẬP HÌNH HỌC LỚP 9. Phần 1: 50 bài tập cơ bản. 1 -Xét hai ∆EKO và EHO.Do OH.OK=R 2 =OE 2 ⇒ OK OE OE OH = ... nghiệp.Đồng thời do học sinh chúng ta là học sinh có hoàn cảnh gia đình còn nghèo vì vậy học sinh yếu kỹ năng vận dụng nếu chúng ta chỉ chữa một vài bài tập mà thôi. Do để học sinh có thể chủ ... động trong quá trình làm bài, các bài tập trong tài liệu này chỉ có tính cất gợi ý phương án chứng minh chứ chưa phải là bài giải hoàn hảo nhất. Bên cạnh đó để có bài tập riêng của từng giáo...

... Cm => AB = 50 cm => OA = 25 cm Ta có S (o) = .OA 2 = 25 2 = 6 25 ; S (I) = . IA 2 = .5 2 = 25 ; S (k) = .KB 2 = . 20 2 = 400 . Ta có diện tích phần hình đợc giới hạn ... ( ⊥ BP) KM // BP ⇒ · · 0 KMN PAT 45= = Mà · · ¼ 0 PKM PAM PKU 45 2 = = = · 0 PKN 45= ; · 0 KNM 45= ⇒ PK // AN . Vậy ANPK là hình bình hành. Bài 77: Cho đường tròn tâm O, bán kính ... ⇒ ACBD là hình vuông. b) · AED = 1 2 · AOD = 45 0 ; · DEB = 1 2 · DOB = 45 0 ⇒ · AED = · DEB ⇒ ED là tia phân giác của · AEB . · AED = 45 0 ; · EMB = 45 0 (∆ EMB vuông...

... AN ở M. a) Chứng minh rằng 5 điểm A, B, D, O, T cùng thuộc 32 Bài tập hình học lớp 9 TTBDVH: Lửa Việt 8. Cho tam giác ABC vuông tại A, đường cao AH,BH = 20cm, HC = 45cm. Vẽ đường tròn tâm A bán ... tại A, gọi I là giao điểm của các đường phân giác. Biết rằng IA = 2 √ 5cm, IB = 3cm. Tính độ dài AB. 3 Bài tập hình học lớp 9 TTBDVH: Lửa Việt Định nghĩa và sự xác định đường tròn 1. Tính bán ... độ dài cạnh BC. 8. Tam giác ABC cân tại A có cạnh bên bằng 15cm, cạnh đáy bằng 18cm. Tính độ dài các đướng cao. 1 Bài tập hình học lớp 9 TTBDVH: Lửa Việt 13. *Cho tam giác ABC nội tiếp đường...

... C + = Bài 3: Chứng minh các ñẳng thức sau 1) 0 0 sin 75 sin1 05= 2) 0 0 cos 25 cos 155 = − 3) 0 0 cos 15 sin1 05= 4) 2 2 sin cos 1 α α + = 5) 2 2 1 1 tan cos α α + = 6) tan .cot 1 α α = Bài ... ñộ dài với mọi véc tơ khác véc tơ 0  IV.Cùng bằng mọi véc tơ – không Bài tập hình học lớp 10 Bài tập hình học lớp 10 Trang 8 IV. ðộ dài véc tơ 6a  bằng 2 3 ñộ dài véc tơ 4a−  ...  II. Bài t ập T ự luận: các bài tập SGK trang 40 Bài 1: Tính giá tr ị của biểu thức 1) 0 0 0 sin30 3cos60 cot 150 P = + + 2) 2 0 2 0 2 0 2 0 2cos 45 3sin 45 tan 1 35 5cot 60 P =...

... => AB = 50 cm => OA = 25 cmả ế Ta có S (o) = π .OA 2 = π 25 2 = 6 25 π ; S (I) = π . IA 2 = π .5 2 = 25 π ; S (k) = π .KB 2 = π . 20 2 = 400 π . Ta có di n tích ph n hình đ c ... TRƯỜNG THCS TỐNG VĂN TRÂN 10 TUYỂN TẬP 80 BÀI TOÁN HÌNH HỌC LỚP 9 t i N c a đ ng tròn P. Ch ng minh :ạ ủ ườ ở ứ 1. T giác OMNP n i ti p.ứ ộ ế 2. T giác CMPO là hình bình hành.ứ 3. CM. CN không ... TUYỂN TẬP 80 BÀI TOÁN HÌNH HỌC LỚP 9 Bài 1. Cho tam giác ABC có ba góc nh n n i ti p đ ng tròn (O). Các đ ng cao AD,...

... .Chứng tỏ : B là trung điểm của IC 5/ Gọi S là giao điểm của GH và CD .Chứng tỏ : tâm đường tròn ngoại tiếp tam giác DHS nằm trên OA Bài 45/ Cho tam giác ABC có 3 góc nhọn nội tiếp ... H .Chứng minh : tam giác BKH cân 5/ Đường thẳng qua D vuông góc với CD cắt MN tại T và cắt AB tại Q .Chứng minh : T là trung điểm của DQ Bài 53 / : Tứ 1 điểm A ngoài ( O:R) sao ... DC tại K .Chứng minh : CD.EN=BD.EK 5/ Chứng minh : H là trung điểm của NK 6/Đường thẳng qua K vuông góc với DE cắt HD tại I .Chứng minh : NI//DK Bài 47/Từ 1 điểm A ngoài (O;R), vẽ...

... MỘT TRĂM BÀI TẬP HÌNH HỌC LỚP 9. Phần 1: 50 bài tập cơ bản. 1 Lời nói đầu: Trong quá trình ôn thi tốt nghiệp cho học sinh lớp 9,chúng ta đều nhận thấy học sinh rất ngại chứng minh hình học. Cũng ... gia đình còn nghèo vì vậy học sinh yếu kỹ năng vận dụng nếu chúng ta chỉ chữa một vài bài tập mà thôi. Do để học sinh có thể chủ động trong quá trình làm bài, các bài tập trong tài liệu này chỉ ... cung ME) mà MAE= 45 o và ENB= 45 o (cmt) ⇒MQN=BNQ= 45 o ⇒MQ//BN.ta lại có MBI=ENI(cùng chắn cungEN) và MBI=ABM vàIBN=NBC(cmt) ⇒ QBN=ABM+MBN=ABM+ 45 o (vì MBN= 45 o )⇒MNB=MNE+ENB=MBI+ 45 o ⇒MNB=QBN⇒MQBN...

... 0 sin 15 sin 75 cos 15 cos 75 sin30+ − − + d) 0 0 0 0 sin3 5 sin67 cos23 cos 55+ − − e) 2 0 2 0 2 0 2 0 cos 20 cos 40 c os 50 cos 70+ + + f) 0 0 0 0 sin20 tan40 cot 50 cos70− + − ĐS: a) 3 ,5 b) ... AI. c) Vẽ AH ⊥ BI tại H. Tính AH. ĐS: Bài 4. Tính giá trị các biểu thức sau: a) 2 0 2 0 2 0 2 0 2 0 2 0 2 0 cos 15 cos 25 cos 35 cos 45 cos 55 cos 6 5 cos 75+ + + + + + . b) 2 0 2 0 2 0 2 0 2 ... thì được một hình nón. • Điểm A đgl đỉnh của hình nón. • Hình tròn (O) đgl đáy của hình nón. • Mỗi vị trí của AC đgl một đường sinh của hình nón. • Đoạn AO đgl đường cao của hình nón. 2....

... và B. Dựng hình bình hành AMBN. Chứng minh rằng tập hợp các điểm N là một đường tròn. 7 Hình học 11 – Chương 1 Học thêm tốn 0937 09 05 87 b) Tìm giao tuyến của (BMN) và (ABO). 5. Cho hình chóp ... minh rằng SI ⊥ (SCD), SJ ⊥ (SAB). b) Gọi H là hình chiếu vuông góc của S trên IJ. CMR: SH ⊥ AC. 25 Hình học 11 – Chương 1 Học thêm tốn 0937 09 05 87 Phương pháp: Có thể sử dụng 1 trong các cách ... góc 90 0 : 5 Hình học 11 – Chương 1 Học thêm tốn 0937 09 05 87 3. Cho nửa đường tròn tâm O đường kính AB. Một điểm C chạy trên nửa đường tròn đó. Dựng về phía ngoài tam giác ABC hình vuông CBEF....

... =cos ⇒ B AB BC cos = aBC 2=⇒ ⇒ BO = a Trang 26 Chuyên đề hình học không gian lớp 11 Cách 2 :Xác định thiết diện bằng cách vẽ giao tuyến phụ : Bài tập : 5. Cho hình chóp S.ABCD .Gọi M, N lần lượt là trung ... với hình chóp S.ABCD : Gọi L = Kx ∩ SA Thiết diện là hình thang IJKL Do : IJ là đường trung bình của hình thang ABCD Trang 20 L S C B J I K D A J I E C D B A Chuyên đề hình học không gian lớp ... :      ∩∈ ⊂ )()( )( //)( BCDQ BCDCD CD α α ⇒ EH // CD (5) Từ (4) và (5) , suy ra FG // EH // CD (6) Trang 29 G F H N L M Q P I J E D C B A Chuyên đề hình học không gian lớp 11 Vậy : thiết diện là ngũ giác MNPQR 2. Cho hình chóp S.ABCD....

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