Đề thi HSG Casio huyện 2013-2014

HUYfN TRAN VAN TH... Hay tfnh gia tri cua m roi tim tat ca cac nghifm cua Qx.. T6m tSt cdch giai... Dap so: I: Cho tarn giac ABC vai duong cao AH.. a Tinh gin dung chu vi tarn giac ABC c

HUYfN TRAN VAN TH<ft

KY Tffl CHQN HQC SINH L0P 9 THCS GlAl TOAN BANG MAY TfNH CASIO

NAM HQC 2013-2014

Diem bai thi

Bang so

B3ng chfr

H9 tan gi£m khao 1

2

Phach

Ch& $: 1 Thi sink ghi day du cdc muc orphan tr&n theo huong ddn cua gidm thj

2 Thi sink lam bai tnfc tiip vao ban d& thi cophdch dinh k&m nay.

3 Bai thi khdng dupe viit bang muc do, but chl; khdng dupe lam hai mau imfc Phdn viet hong, ngoai cdch dung thu&c gach cheo, khdng dupe toy x6a bang bat cu cdch gl k£ ca but xda.

Bail: Tinh gain (lung gid tri cua cac bieu thurc sau:

-cos 2 55°.sin 3 70° - 10cot 2 2 50°.cot65 ° 3 °

Dap so:

A » : B «

Bai 2; Tim tit ca cac s6 co dang 34^5^ chia h^t cho 36

T6m tfit each giai

°.cot 3 70°

Dap so

a) Tinh gid tri bilu thiic: M =

2,,2 A~2—2

4x t 2xyz v6 x = 0 ^ 2 y = ^ 23 z = 2 ^ 23

-4y z -xyz

M=

(5,2x-42,ll +

7,43).l-b) Tim x, biet: 2 = 1321

(2,22 + 3,1)^-41,33 Dap so:

X "~" ».*• ** .«.* .4 » * * » • * « « * • *• ».»*

Bai4; Cho biet da thiic Q(x) = x4 - 2x3 - 60x2 + mx -186 chia het cho x + 3 Hay tfnh gia tri cua m roi tim tat ca cac nghifm cua Q(x)

Tom tit each giai I Bap s6

BaiS; Cho d§y so {Un} nhur sau: Un = (s+2>/6)r+ (5-2^ v6i n = 1,2, 3,

a) Chung minh rang Un+2 + Un = 10Un+i vod V n = 1, 2, 3,

T6m tSt cdch giai

b) L$p mot quy trinh bim phim lien tuc de tinh Un+2 v6i n £ 1 (neu ro dung cho loai may nao)

Quy trinh bam phim

c ) T m h Ul i ;U1 2

Dap so:

I: Cho tarn giac ABC vai duong cao AH Bi6t ^C=45°,BH = 2,34cm, CH 3,21cm

a) Tinh gin dung chu vi tarn giac ABC (chinh xdc den 5 chu so th|p phan)

Tom tat each giai

b) Tinh gan dung b&i kinh ducmg tron n§i ti£p tarn gidc ABC (chinh xac din 5 chu s6

thap phan)