B1. Cho f(1)=1008,f(1)+f(2)+...+f(n)=n^2.f(n) f(n)la ham so duong
tinh f(2015)
B2 Cho cac so nguyen to q,p,r,s sao cho cac so sau deu la so nguyen to p^s+s^q,q^s+s^r,r^s+s^p
tim cac so p,q,r,s
B3 co a,b,c duong a mu 3+bmu3=c^3
so sanh a^2015+b^2015 va c^2015
B1. Cho f(1)=1008,f(1)+f(2)+...+f(n)=n^2.f(n) f(n)la ham so duong
tinh f(2015)
B2 Cho cac so nguyen to q,p,r,s sao cho cac so sau deu la so nguyen to p^s+s^q,q^s+s^r,r^s+s^p
tim cac so p,q,r,s
B3 co a,b,c duong a mu 3+bmu3=c^3
so sanh a^2015+b^2015 va c^2015
B1. Cho f(1)=1008,f(1)+f(2)+...+f(n)=n^2.f(n) f(n)la ham so duong
tinh f(2015)
B2 Cho cac so nguyen to q,p,r,s sao cho cac so sau deu la so nguyen to p^s+s^q,q^s+s^r,r^s+s^p
tim cac so p,q,r,s
B3 co a,b,c duong a mu 3+bmu3=c^3
so sanh a^2015+b^2015 va c^2015
tap hop cac so nguyen n de \(\frac{n}{n+3}\)co gia tri la so nguyen la S = {...}
Để\(\frac{n}{n+3}\)
la stn =>n chia het cho n+3
Ta có: n=n+3-3
Mà n chia hết cho n+3=>[(n+3)-3]chia hết cho n+3
n+3 chia hết cho n+3=>3 chia hết cho n+3
=>n+3 thuoc Ư(3)
mà Ư(3)={1;3;-1;-3}
| n+3 | 1 | 3 | -1 | -3 |
| n | -2 | 0 | -4 | -6 |
mà n la stn =>n=0
Vậy n=0
Cho f(x)=ax3+bx2+cx+d. CMR neu 6a, 2b, a+b+c va d la cac so nguyen to thi f(x) co gia tri nguyen voi moi so nguyen x
Bai2: Cho da thuc f(x)=x\(^2\)+4x-5
a, So -5 co phai la nghiem cua f(x) ko?
bViet tap hop S tat ca cac nghiem cua f(x)
Bai 3; Thu gon roi tim nghiem cua cac da thuc sau
a, f(x)=x(1-2x)+(2x\(^2\)-x+4)
b,g(x)=x(x-5)-x(x+2)+7x
c, h(x)=x(x-1)+1
moi nguoi xin hay giup to
Bài 2 mk giải luôn nhé
f(x)=x^2+4x-5=x^2-x+5x-5
=x(x-1)+5(x-1)
=(x+5)(x-1)
Vậy x=-5 hoặc x=1 là nghiệm của đa thức f(x)
Cho hàm số y = f(x) = ax + b nghịch biến trên R. So sánh f\(\left(\sqrt{3}-\sqrt{2}\right)\) và f\(\left(\frac{\sqrt{2}}{2}\right)\)
Ta có \(\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}\)
\(\sqrt{3}-\sqrt{2}=\frac{1}{\sqrt{3}+\sqrt{2}}\)
Mà \(\sqrt{2}< \sqrt{3}+\sqrt{2}\Rightarrow\frac{1}{\sqrt{2}}>\frac{1}{\sqrt{3}+\sqrt{2}}\Rightarrow\frac{\sqrt{2}}{2}>\sqrt{3}-\sqrt{2}\)
\(\Rightarrow f\left(\frac{\sqrt{2}}{2}\right)< f\left(\sqrt{3}-\sqrt{2}\right)\)
a) Cho S=1+7+7^2+7^3+7^4+...+7^30
Tim so n sao cho: 6S+1=7^n
b) tim so nguyen to p+2; p+8; p+16 la cac so nguyen to
CMR: bai toan chi co 1 dap so
1.Tren nua mp bo chua tia Ox,ve cac tia Ox1,Ox2,Ox3,...,OxN sao cho:
xOx2=2xOx1,xOx3=3xOx1,.......,xOxN=NxOx1.tim so N nho nhat de trong cac tia da ve co mot tia la tia phan giac chung cua 2017 goc
2.CMR:neu p la so nguyen to lon hon 3 va 2p+1 cung la so nguyen to thi 4p+1 la hop so
3.So sanh: 63^15 va 34^18
4.tim cac so tu nhien n co hai chu so biet:2n+1 va 3n+1 deu la so chinh phuong
5.CMR: S=16^5+2^15 chia het cho 33
http://sinhvienshare.com/de-thi-khao-sat-hsg-toan-6-nam-2016-2017-huyen-tien-hai-co-dap/
