ĐỀ KIỂM 45 PHÚT TRA HÌNH HỌC TOÁN 10 GIỮA CHƯƠNG I CHO HỌC SINH TRUNG BÌNH.
TRƯỜNG THPT TRẦN HƯNG ĐẠOĐỀ KIỂM TRA 45 PHÚT TOÁN 10HÌNH HỌC GIỮA CHƯƠNG I ____________________________________________________________________________ĐỀ 1Câu 1 Cho 5 điểm A,B,C,D,E. Chứng minh rằng:)b AD BC EC BD AE+ − − =uuur uuur uuur uuur uuurCâu 2: Cho ∆ ABC có M là trung điểm của AB; N là điểm trên cạnh AC sao cho 2 0NC NA+ =uuur uuur r, K là trung điểm MN.Chứng minh rằng1 14 6AK AB AC= +uuur uuur uuur____________________________________________________________________________Bài giải___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________) 0a AD BA BC ED EC+ − − + =uuur uuur uuur uuur uuur r ________________Họ và tên học sinh:………………………………………………………………………… .Lớp……TRƯỜNG THPT TRẦN HƯNG ĐẠOĐỀ KIỂM TRA 45 PHÚT TOÁN 10HÌNH HỌC GIỮA CHƯƠNG I ____________________________________________________________________________ĐỀ 2Câu 1: Cho 5 điểm A, B, C, D, E Chứng minh rằng:)a AB CD EA CB ED+ + = +uuur uuur uuur uuur uuur)b BC EA BD BE DC BA+ − + − =uuur uuur uuur uuur uuur uuurCâu 2: ∆ ABC có D,E lần lượt nằm trên các cạnh AB,AC sao cho 2 0, 3 0AD DB CE AE− = + =uuur uuur r uuur uuur r, M là trung điểm của DE. Chứng minh rằng:1 13 8AM AB AC= +uuuur uuur uuur____________________________________________________________________________Bài giải_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________Họ và tên học sinh……………………………………………………………………… Lớp………TRƯỜNG THPT TRẦN HƯNG ĐẠOĐỀ KIỂM TRA 45 PHÚT TOÁN 10HÌNH HỌC GIỮA CHƯƠNG I ____________________________________________________________________________ĐỀ 3Câu 1: Cho 6 điểm A, B, C, D, E, F .Chứng minh rằng:) 0a AE BF BC EC AF+ − + − =uuur uuur uuur uuur uuur r)b AD BE CF AE BF CD+ + = + +uuur uuur uuur uuur uuur uuurCâu 2: Cho ∆ ABC có I,J lần lượt nằm trên các cạnh AB, AC sao cho 2 3 0, 3 0IA IB JC JA+ = + =uur uur r uuur uur r, K là trung điểm của IJ .Chứng minh rằng:3 310 8AK AB AC= +uuur uuur uuur____________________________________________________________________________Bài giải_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Họ và tên học sinh: ………………………………………………………………………….lớp …… TRƯỜNG THPT TRẦN HƯNG ĐẠOĐỀ KIỂM TRA 45 PHÚT TOÁN 10HÌNH HỌC GIỮA CHƯƠNG I ____________________________________________________________________________ĐỀ SỐ 4Câu 1: Cho 7 điểm A, B, C, D, E, F, G Chứng minh rằng:)a AB CD EF GA CB ED GF+ + + = + +uuur uuur uuur uuur uuur uuur uuur) 0b AB CD ED EF CB AF+ − + − − =uuur uuur uuur uuur uuur uuur rCâu 2: Cho ∆ABC, gọi M, N lần lượt nằm trên các cạnh AB, BC sao cho 3 2 0, 4 0MB MA NB NC+ = + =uuur uuur r uuur uuur r, P là trung điểm của MN.Chứng minh rằng:1 25 5BP BA BC= +uuur uuur uuur____________________________________________________________________________ Bài giải_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Họ và tên học sinh: ………………………………………………………………………………Lớp….___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________HÌNH VẼ ĐỀ 1KNMBCA_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________HÌNH VẼ CÂU 2 ĐỀ 2MEDCBA__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________HÌNH VẼ CÂU 2 ĐỀ 3KJIBCA_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________HÌNH VẼ ĐỀ 4PMACB________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ . trung i m của DE. Chứng minh rằng:1 13 8AM AB AC= +uuuur uuur uuur____________________________________________________________________________B i gi i_ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________Họ. I, J lần lượt nằm trên các cạnh AB, AC sao cho 2 3 0, 3 0IA IB JC JA+ = + =uur uur r uuur uur r, K là trung i m của IJ .Chứng minh