Chirng minh rdng v6i moi s6 nguyOn duong n thi s6 nn+2 kh6ng phni ld sd chinh phucrng.. Hai b4n An vd Binh choi cd vua vdi nhau.. Cho ducrng tron O duong kinh AB vd di6m M nim chinh gita
Trang 1UBND THANH PH6 THAI NGUYEN
PHO@T4O THI CHQN HQC SINH NAU ng c zotr - zote GIOI LO? 9
MON THI: TOAN
DE THI CHINH THTIC Thdi gian ldm bdi: 150 philt, khdng ke thdi gian giao tt€
(Ed tUi g6m c6 01 trang)
Bni 1(6 tli6m)
a Tinh gi|tri cria bi6u thric A = (x4 - xt - x2 +2x- 1)20te v6i
lt-lt-' VV2+1-t r/V2+l+t
b Tim m dA dudng thing ! =2x+ 3 vd ducrng thang y - (nt' -2m+2)x +2m-L
song song v6i nhau.
Bhi2 (a di6m)
a Chirng minh rdng v6i moi s6 nguyOn duong n thi s6 n(n+2) kh6ng phni ld sd
chinh phucrng.
b Giai phuong trinh x +qJx+3 *2J3-2-y =tt.
Bni 3 (2 tli6m) Hai b4n An vd Binh choi cd vua vdi nhau Trong m5i v6n, ngudi thing duqc 2- ditlm, nguoi thua duoc 0 di6m vd n6u hda thi m5i nguoid,rq 1 die; H6i sai mQt sd v6n thi d6u, c6 th6 x6y ra trubng hqp b4n An duoc tOti6m vd b4n Binh dugc 15
di6m duoc kh6ng? T4i sao?
Bni 4 (a tli6m) Cho ducrng tron (O) duong kinh AB vd di6m M nim chinh gita cria
cung ,48 L6y diom C nim trcn dulng trdn (o) sao cho C * A,C * B, AC <CB vd hai di6m M, C ndm vC hai ntra mdt phing c6 bo ld duong thing AB CM cat AB tai diiim
D VC ddy AE vu6ng g6c CM tai F
a Chring minh tri gi6c ACEM la hinh thang cdn.
b Ke CH L AB(H € AB) Chring minh CM ld ducrng phdn gi6c cta g6c HCO
Bei 5 (a tli6m)
a cho da thric P(x) c6 tinh ch6t P(*'0") chia h6t cho (r - 1) chung minh ring P(x) chia hCt cho (r - 1).
b cho so tg nhicn n=gg .9 \ - ri hiQu s(n) vi s(n2) tan tuqr ld t6ng cric chfi s6
2019 chit s6 9
cilr- n vd n2 Hdy so sanh S(n) vd S(n2)
(rtti sinh kh6ng ttw.oc srir dsng;;;;::;;;::;,, thi kh6ng gidi thich gi th*m)