Violympic toán 9
Các câu hỏi tương tự
Giải hệ phương trình sau :
a, \(\left\{{}\begin{matrix}\left(x^2+1\right)\left(y^2+1\right)=10\\\left(x+y\right)\left(xy-1\right)=3\end{matrix}\right.\)
b, \(\left\{{}\begin{matrix}x^3-1=2y\\y^3-1=2x\end{matrix}\right.\)
c, \(\left\{{}\begin{matrix}2x^2+xy=3x\\2y^2+xy=3y\end{matrix}\right.\)
1, Giải các hệ phương trình sau
a, left{{}begin{matrix}left(x+yright)^2-2xy26x+y6end{matrix}right.
b,left{{}begin{matrix}2x^2+x-y0xy+3y-5x7end{matrix}right.
c, left{{}begin{matrix}left(x-1right)^21-yleft(x^2-yright)^22xyleft(1+xright)end{matrix}right.
d, left{{}begin{matrix}x^2y+y^2x2x^3+y^3+68x^2y^2end{matrix}right.
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1, Giải các hệ phương trình sau
a, \(\left\{{}\begin{matrix}\left(x+y\right)^2-2xy=26\\x+y=6\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}2x^2+x-y=0\\xy+3y-5x=7\end{matrix}\right.\)
c, \(\left\{{}\begin{matrix}\left(x-1\right)^2=1-y\\\left(x^2-y\right)^2=2xy\left(1+x\right)\end{matrix}\right.\)
d, \(\left\{{}\begin{matrix}x^2y+y^2x=2\\x^3+y^3+6=8x^2y^2\end{matrix}\right.\)
giải HPT
a) \(\left\{{}\begin{matrix}\left(x+3\right)\left(y-5\right)=xy\\\left(2x-y\right)\left(y+15\right)=2xy\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}\sqrt{4x}-3y+4z^2=-2\\\sqrt{3x}+2y-3z^2=1\\-3\sqrt{x}+y+2z^2=4\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x^3y\left(1+y\right)+x^2y^2\left(2+y\right)+xy^3=30\\x^2y+x\left(1+y+y^2\right)+y=11\end{matrix}\right.\)
giải hệ pt sau
aleft{{}begin{matrix}4x+y28x+3y5end{matrix}right. bleft{{}begin{matrix}3x_{ }-2y114x-5y3end{matrix}right. cleft{{}begin{matrix}4x+3y135x-3y_{ }-31end{matrix}right. Dleft{{}begin{matrix}7X+5Y193x+5y31end{matrix}right.
eleft{{}begin{matrix}7x-5y33x+10y62end{matrix}right. fleft{{}begin{matrix}2x+5y113x+2y11end{matrix}right. gleft{{}begin{matrix}x+3y4y-x+52x-y3x-...
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giải hệ pt sau
a\(\left\{{}\begin{matrix}4x+y=2\\8x+3y=5\end{matrix}\right.\) b\(\left\{{}\begin{matrix}3x_{ }-2y=11\\4x-5y=3\end{matrix}\right.\) c\(\left\{{}\begin{matrix}4x+3y=13\\5x-3y=_{ }-31\end{matrix}\right.\) D\(\left\{{}\begin{matrix}7X+5Y=19\\3x+5y=31\end{matrix}\right.\)
e\(\left\{{}\begin{matrix}7x-5y=3\\3x+10y=62\end{matrix}\right.\) f\(\left\{{}\begin{matrix}2x+5y=11\\3x+2y=11\end{matrix}\right.\) g\(\left\{{}\begin{matrix}x+3y=4y-x+5\\2x-y=3x-2\left(y+1\right)\end{matrix}\right.\)
Giải hệ phương trình:
\(a,\left\{{}\begin{matrix}2x^3+x^2y+2x^2+xy+6=0\\x^2+3x+y=1\end{matrix}\right.\)
\(b,\left\{{}\begin{matrix}x^2=\left(2-y\right)\left(2+y\right)\\2x^3=\left(x+y\right)\left(4-xy\right)\end{matrix}\right.\)
\(c,\left\{{}\begin{matrix}\sqrt[3]{x+2y}=4-x-y\\\sqrt[3]{x+6}+\sqrt{2y}=2\end{matrix}\right.\)
Giải hệ pt và pt sau:
a.left{{}begin{matrix}left(2x-3right)cdotleft(2y+4right)4xcdotleft(y-3right)+54left(x+1right)cdotleft(3y-3right)3yleft(x+1right)-12end{matrix}right.
b.left{{}begin{matrix}x+y-10x^2+xy+30end{matrix}right.
c.left{{}begin{matrix}2x-3y5x^2-y^240end{matrix}right.
d.left{{}begin{matrix}3x+2y36left(x-2right)left(y-3right)18end{matrix}right.
e.left{{}begin{matrix}2x+y5m-1x-2y2end{matrix}right. . Tìm m để hệ có nghiệm (x;y) t/m x^2-2y^21
f. frac{t^2}{t-1}+tfrac{2t^2+5t}{t+1}...
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Giải hệ pt và pt sau:
a.\(\left\{{}\begin{matrix}\left(2x-3\right)\cdot\left(2y+4\right)=4x\cdot\left(y-3\right)+54\\\left(x+1\right)\cdot\left(3y-3\right)=3y\left(x+1\right)-12\end{matrix}\right.\)
b.\(\left\{{}\begin{matrix}x+y-1=0\\x^2+xy+3=0\end{matrix}\right.\)
c.\(\left\{{}\begin{matrix}2x-3y=5\\x^2-y^2=40\end{matrix}\right.\)
d.\(\left\{{}\begin{matrix}3x+2y=36\\\left(x-2\right)\left(y-3\right)=18\end{matrix}\right.\)
e.\(\left\{{}\begin{matrix}2x+y=5m-1\\x-2y=2\end{matrix}\right.\) . Tìm m để hệ có nghiệm (x;y) t/m x\(^2\)-2y\(^2\)=1
f. \(\frac{t^2}{t-1}+t=\frac{2t^2+5t}{t+1}\)
g.\(\frac{x^2+2x-3}{x^2-9}+\frac{2x^2-2}{x^2-3x+2}=8\)
Giải các hệ phương trình:
a, \(\left\{{}\begin{matrix}-2x+y=xy\\2x+3y=2xy\end{matrix}\right.\)
\(b,\left\{{}\begin{matrix}\left(\sqrt{2}+1\right)x-\left(2-\sqrt{3}\right)y=2\\\left(2+\sqrt{3}\right)x+\left(\sqrt{2}-1\right)y=2\end{matrix}\right.\)
giải hệ phương trình
a) \(\left\{{}\begin{matrix}3x-2y+z=14\\2x+y-z=3\\z-2x=-5\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x^2-y^2=4y+2x+3\\x^2+2x+y=0\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}\left|xy-4\right|=8-y^2\\xy=2+x^2\end{matrix}\right.\)
Giải hệ phương trình
1. left{{}begin{matrix}x^2+y^2+2x+2yleft(x+2right)left(y+2right)left(frac{x}{y+2}right)^2+left(frac{y}{x+2}right)^21end{matrix}right.
2. left{{}begin{matrix}x^2-2xy-66y+2xfrac{3x^2}{y+1}4-xend{matrix}right.
3.left{{}begin{matrix}x^2-yy^2-xx^2-xy+3end{matrix}right.
4.left{{}begin{matrix}x+y+frac{1}{x}+frac{1}{y}frac{9}{2}xy+frac{1}{xy}+frac{x}{y}+frac{y}{x}5end{matrix}right.
6.left{{}begin{matrix}x^3left(x-yright)+x^2y^21x^2left(xy+3right)-3xy3end{matrix}right.
7.left{{...
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Giải hệ phương trình
1. \(\left\{{}\begin{matrix}x^2+y^2+2x+2y=\left(x+2\right)\left(y+2\right)\\\left(\frac{x}{y+2}\right)^2+\left(\frac{y}{x+2}\right)^2=1\end{matrix}\right.\)
2. \(\left\{{}\begin{matrix}x^2-2xy-6=6y+2x\\\frac{3x^2}{y+1}=4-x\end{matrix}\right.\)
3.\(\left\{{}\begin{matrix}x^2-y=y^2-x\\x^2-x=y+3\end{matrix}\right.\)
4.\(\left\{{}\begin{matrix}x+y+\frac{1}{x}+\frac{1}{y}=\frac{9}{2}\\xy+\frac{1}{xy}+\frac{x}{y}+\frac{y}{x}=5\end{matrix}\right.\)
6.\(\left\{{}\begin{matrix}x^3\left(x-y\right)+x^2y^2=1\\x^2\left(xy+3\right)-3xy=3\end{matrix}\right.\)
7.\(\left\{{}\begin{matrix}x^2+3y-6x=0\\9x^2-6xy^2+y^4-3y+9=0\end{matrix}\right.\)
8.\(\left\{{}\begin{matrix}x^2+y^2+xy=1\\x+y-xy=2y^2-x^2\end{matrix}\right.\)
9.\(\left\{{}\begin{matrix}8x^3-y=y^3-2x\\x^2+y^2=x+2y\end{matrix}\right.\)
10.\(\left\{{}\begin{matrix}2x^2-3xy+y^2+x-y=0\\x^2+x+1=y^2\end{matrix}\right.\)
11.\(\left\{{}\begin{matrix}\left(x^2+y^2\right)\left(x+y+2\right)=4\left(y+2\right)\\x^2+y^2+\left(y+2\right)\left(x+y+2\right)=4\left(y+2\right)\end{matrix}\right.\)
12. \(\left\{{}\begin{matrix}x^2+7=4y^2+4y\\x^2+3xy+2y^2+x+y=0\end{matrix}\right.\)
13. \(\left\{{}\begin{matrix}x^2+y^2=5\\x^3+2y^3+\left(x-5\right)^2+\left(y+5\right)^2=55\end{matrix}\right.\)
14. \(\left\{{}\begin{matrix}\frac{1}{x^2}+\frac{1}{y^2}=3+x^2y^2\\\frac{1}{x^3}+\frac{1}{y^3}+3=x^3y^3\end{matrix}\right.\)
15.\(\left\{{}\begin{matrix}x^2+y^2+4x+2y=3\\x^2+7y^2-4xy+6y=13\end{matrix}\right.\)
16. \(\left\{{}\begin{matrix}x^2-5xy+x-5y^2=42\\7xy+6y^2+42=x\end{matrix}\right.\)
17.\(\left\{{}\begin{matrix}x^2+xy+y^2=13\\x^4+x^2y^2+y^4=91\end{matrix}\right.\)
18.\(\left\{{}\begin{matrix}x^2=\left(2-y\right)\left(2+y\right)\\2x^3=\left(x+y\right)\left(4-xy\right)\end{matrix}\right.\)
Đây là các bài hệ trong đề thi chuyên toán mong mọi người giúp vì mình bận quá nên không thể làm hết được ạ