bài tập về hình học không gian có lời giải

... đáy của hình trụ. 14 Bài 5: Cho hình chóp S.ABC có các cạnh SA, SB, SC vuông góc với nhau từng đôi một và SA = a, SB = b, SC = c. Tính bán kính mặt cầu ngọai tiếp hình chóp đó. Giải. ... Bài 3: Cho hình nón đỉnh S có đường sinh là a, góc giữa đường sinh và đáy là . a) Tính thể tích và diện tích xung quanh của hình nón. b) Một mặt phẳng hợp với đáy một góc 600 và cắt hình ... RcbaSOacbSA222222221442. Bài 6: Cho hình chóp S.ABCD có đáy ABCD là hình chữ nhật và có cạnh bênSA vuông góc với đáy. a) Xác định tâm mặt cầu ngọai tiếp hình chóp SABCD. b) Gọi (P) là mặt...

... BÀI 5 Câu 1: Trong không gian Oxyz, tìm trên Ox điểm A cách đều đường thẳng (d) : 22z2y11x  và mặt phaúng () : 2x – y – 2z = 0. Câu 2: Cho hình chóp SABC có đáy ... đáy ABC có cạnh bằng a, mặt bên tạo với đáy một góc bằng oo(0 90 )   . Tính thể tích khối hình chóp S.ABC và khoảng cách từ đỉnh A đến mặt phẳng (SBC). Câu 2: . Trong không gian oxyz ... với 3 mặt phẳng tọa độ một tứ diện có thể tích bằng 36125.Câu 2: Cho hình chóp SABC có đáy là tam giác ABC vuông cân tại A, AB = AC = a (a > 0), hình chieáu cuûa S trên đáy trùng với...

... BÀI 5 Câu 1: Trong không gian Oxyz, tìm trên Ox điểm A cách đều đường thẳng (d) : 22z2y11x  và mặt phaúng () : 2x – y – 2z = 0. Câu 2: Cho hình chóp SABC có đáy ... với 3 mặt phẳng tọa độ một tứ diện có thể tích bằng 36125.Câu 2: Cho hình chóp SABC có đáy là tam giác ABC vuông cân tại A, AB = AC = a (a > 0), hình chieáu cuûa S trên đáy trùng với ... minh MAB cân và tính diện tích MAB theo a. LỜI GIẢI Caâu 1: Trường THPT Trưng Vương Đào Phú Hùng Trang 1 BÀI 1 Câu 1: Trong không gian Oxyz, viết phương trình mặt phẳng (P) chứa đường...

... b, c không âm ta có 2( )( ) ( )a b a c a bc+ + ≥ +. Từ đây suy ra 2a b a c a bc+ + + ≥ +.7. Với mọi x, y, z không âm ta luôn có 33(1 )(1 )(1 ) (1 . . )x y z x y z+ + + ≥ +.CM. Ta có ... quát, với a, b, c, d không âm ta có 33( )( )( ) ( )a b a c a d a bcd+ + + ≥ +. Từ đây suy ra 333a b a c a d a bcd+ + + + + ≥ +.8. Với mọi x, y, z không âm ta luôn có 3 3 3 3( ) 9( )x ... TrựcBẤT ĐẲNG THỨC LUYỆN THI ĐẠI HỌCMỘT SỐ BĐT ĐƠN GIẢN HAY DÙNG1. Với a, b, c tùy ý ta luôn có 2 2 2a b c ab bc ca+ + ≥ + +. Đẳng thức xảy ra kvck a = b = c.CM. Ta có (a−b)2 + (b−c)2 + (c−a)2...

... Bài Tập 5: Lời giải: Bài Tập 6: Lời giải: Bài Tập 7: Lời giải: Bài 8: Bài Tập 3: Lời Giải: Bài Tập 4: Lời Giải: Lời Giải: Bài tập 9: Lời Giải: Chúc Các bạn thành công! Bài tập 2: Lời...

... đượcN75,09321x1005,0Rv60cosgmTRvmmaht60cosPT2202o=+=+=⇒==−PHẦN THỨ HAIMỘT SỐ BÀI TẬP VẬT LÍ VẬN DỤNG SÁNG TẠO PHƯƠNG PHÁP TỌA ĐỘPhương pháp tọa độ là phương pháp cơ bản trong việc giải các bài tập vật lí phần động lực học. Muốn nghiên cứu chuyển ... một số bài tập mẫu một cách máy móc và rất dễ nhàm chán. Trong khi đó, Gv: trương văn thanh ĐT: 0974810957. http:violet.vn/truongthanh85PHẦN THỨ NHẤTBÀI TẬP ĐỘNG LỰC HỌC CHẤT ĐIỂMBÀI 1 :Hai ... vật và mặt phẳng nghiêng là k , khi biết vật có xu hướng trượt xuống. Bài giải: Chọn hệ trục Oxy như hình vẽ.Áp dụng định luật II Newtơn ta có : 0FNPFms=+++→→→→ Gv: trương văn thanh...

... By +Cz + D = 0 Giáo án môn hình học không gian ( Có bài tập ) - Phát huy trí tưởng tượng trong không gian, biết quy lạ về quen, rèn luyện tư duy lôgíc. II. Chuẩn ... viên và học sinh: + Giáo viên: Giáo án, bảng phụ; phiếu học tập. + Học sinh: SGK, các dụng cụ học tập. III. Phương pháp dạy học: Gợi mở, nêu vấn đề, giải quyết vấn đề . IV. Tiến trình bài ... quan. 3) Về tư duy và thái độ: 3. Củng cố : Làm các bài tập trắc nghiệm qua phiếu học tập 4. Bài tập về nhà : Làm các bài tập SKG C’ (1,1,1) D’ ( 0,1,1) + Viết phương trình -...

... = Bài 9: Cho hình chóp tứ giác đều S.ABCD có cạnh đáy bằng a; đ-ờng cao bằng b. Tính khoảng cách từ S đến mặt phẳng đi qua AB và trung điểm M của cạnh SC. Bài 10: Cho hình chóp S.ABCD có đáy ... đ-ờng thẳng MP và CN. (Đề thi Đại học- Cao đẳng khối B năm 2002 . Bài 17: ( Đề thi đại học Vinh 2000-2001) Cho hình hộp lập ph-ơng ABCDA1B1C1D1 có cạnh bằng 2. Gọi E, F t-ơng ứng ... BD. Bài 18: ( Đề thi khối D năm 2002) Cho hình tứ diện ABCD có cạnh AD vuông góc với mặt phẳng (ABC); AC=AD=4cm; AB=3cm; BC=5cm; Tính khoảng cách từ A đến mặt phẳng (BCD). Bài 19: Cho hình...

... điểm. Hình hộp đứng có cạnh bên vuông góc với đáy. Hình hộp xiên có cạnh bên không vuông góc với đáy. Hình hộp chữ nhật là hình hộp đứng có đáy là hình chữ nhật. Hình hộp chữ nhật có các ... góc với đáy. IV. HÌNH HỘP Hình hộp là hình lăng trụ có đáy là hình bình hành.  Hình hộp có các mặt đối diện là hình bình hành song song và bằng nhau.  Các đường chéo hình hộp cắt nhau ... 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 Hướng dẫn giải CDBT từ các ĐTQG Toán học – 165 Bài 5: ĐẠI HỌC KHỐI D NĂM 2010 Cho hình chóp S.ABCD có đáy ABCD là hình vuông cạnh a, cạnh bên SA = a; hình chiếu vuông góc của...

... phẳngTrong không gian cho mặt phẳng và mặt cầu có phương trình sau: .Goi là hình chiếu vuông góc của tâm mặt cầu lên mặt phẳng, ta có: .Ta có các trường hợp sau:a) Nếu là một đường tròn có phương ... không gian cho: Góc giữa đường thẳng và mặt phẳng thỏa mãn đẳng thức sau: .Đặc biệt hoặc .6. Góc giữa hai mặt phẳngTrong không gian cho: .e) Thể tích hình hộpCho hình hộp . Ta có ... phương của .Ta có khoảng cách từ đến là: 3. Khoảng cách giữa hai đường thẳng chéo nhauCho hai đường thẳng chéo nhau lần lượt đi qua các điểm và có vectơ chỉ phương là . Trong không gian với hệ...