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Lớp 7
Toán lớp 7 - Sách cũ
Khái niệm về biểu thức đại số. Giá trị của một biểu thức đại số
Khái niệm về biểu thức đại số. Giá trị của một biểu thức đại số
{"segment":[{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":"<span class='basic_left'> Bi\u1ec3u th\u1ee9c n\u00e0o sau \u0111\u00e2y bi\u1ec3u th\u1ecb chu vi c\u1ee7a m\u1ed9t tam gi\u00e1c c\u00e2n c\u00f3 c\u1ea1nh b\u00ean b\u1eb1ng $a$ v\u00e0 c\u1ea1nh \u0111\u00e1y b\u1eb1ng $b.$ <\/span>","select":["A. $2a+b$","B. $2(a+b)$","C. $a+2b$ ","D. $2ab$"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Chu vi tam gi\u00e1c b\u1ea5t k\u00ec b\u1eb1ng t\u1ed5ng \u0111\u1ed9 d\u00e0i ba c\u1ea1nh c\u1ee7a n\u00f3. <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Chu vi m\u1ed9t tam gi\u00e1c c\u00e2n c\u00f3 c\u1ea1nh b\u00ean b\u1eb1ng $a,$ c\u1ea1nh \u0111\u00e1y b\u1eb1ng $b$ vi\u1ebft th\u00e0nh bi\u1ec3u th\u1ee9c \u0111\u1ea1i s\u1ed1 l\u00e0: $a+a+b=2a+b$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A.<\/span> <\/span>","column":2}]}],"id_ques":1091},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y \u0110\u00fang hay Sai","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" <span class='basic_left'> Bi\u1ec3u th\u1ee9c $(a-b)^2(a^2+b^2)$ di\u1ec5n \u0111\u1ea1t b\u1eb1ng l\u1eddi l\u00e0: <b> T\u00edch c\u1ee7a hi\u1ec7u $a$ v\u00e0 $b$ b\u00ecnh ph\u01b0\u01a1ng v\u1edbi t\u1ed5ng c\u00e1c b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a $a$ v\u00e0 $b$ <\/b> <\/span>","select":["\u0110\u00fang","Sai "],"explain":"<span class='basic_left'> Bi\u1ec3u th\u1ee9c $(a-b)^2(a^2+b^2)$ di\u1ec5n \u0111\u1ea1t b\u1eb1ng l\u1eddi l\u00e0: <b> T\u00edch c\u1ee7a b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a hi\u1ec7u $a$ v\u00e0 $b$ v\u1edbi t\u1ed5ng c\u00e1c b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a $a$ v\u00e0 $b$ <\/b> <br\/> $\\Rightarrow$ Kh\u1eb3ng \u0111\u1ecbnh tr\u00ean l\u00e0 sai. <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 Sai.<\/span><\/span>","column":2}]}],"id_ques":1092},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 \u0111\u00fang nh\u1ea5t v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["0"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" <span class='basic_left'> T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $F=\\dfrac{3a-5}{2a+b}-\\dfrac{4b+5}{a+3b}$ v\u1edbi $a-b=5$ <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $F=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$ <\/span>","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u1eeb $a-b=5$ r\u00fat $a$ theo $b$ <br\/> \u0110\u01b0a $F$ v\u1ec1 bi\u1ec3u th\u1ee9c ch\u1ec9 ch\u1ee9a bi\u1ebfn $b$ <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> T\u1eeb $a-b=5 \\Rightarrow a=b+5$ <br\/> Khi \u0111\u00f3 ta c\u00f3: <br\/> $\\begin{align} & F=\\dfrac{3\\left( b+5 \\right)-5}{2(b+5)+b}-\\dfrac{4b+5}{(b+5)+3b} \\\\ & \\,\\,\\,\\,=\\dfrac{3b+15-5}{2b+10+b}-\\dfrac{4b+5}{b+5+3b} \\\\ & \\,\\,\\,\\,=\\dfrac{3b+10}{3b+10}-\\dfrac{4b+5}{4b+5} \\\\ & \\,\\,\\,\\,=1-1 \\\\ & \\,\\,\\,\\,=0 \\\\ \\end{align}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $0$ <\/span><\/span>"}]}],"id_ques":1093},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" <span class='basic_left'> T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $D=x^2(x+y)-y^2(x+y)+x^2-y^2+2(x+y)+3$ bi\u1ebft r\u1eb1ng $x+y+1=0$ <\/span>","select":["A. $D=0$","B. $D=1$","C. $D=2$","D. $D=3$"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u1eeb $x+y+1=0$ r\u00fat ra gi\u00e1 tr\u1ecb c\u1ee7a $x+y$ <br\/> Thay gi\u00e1 tr\u1ecb c\u1ee7a t\u1ed5ng $x+y$ \u0111\u00f3 v\u00e0o $D$ <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> T\u1eeb $x+y+1=0 \\Rightarrow x+y=-1$ <br\/> Thay $x+y=-1$ v\u00e0o $D$ ta c\u00f3: <br\/> $\\begin{align} & D={{x}^{2}}.\\left( -1 \\right)-{{y}^{2}}.\\left( -1 \\right)+{{x}^{2}}-{{y}^{2}}+2.\\left( -1 \\right)+3 \\\\ & \\,\\,\\,\\,\\,=-{{x}^{2}}+{{y}^{2}}+{{x}^{2}}-{{y}^{2}}-2+3 \\\\ & \\,\\,\\,\\,\\,=1 \\\\ \\end{align}$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 B.<\/span><\/span>","column":4}]}],"id_ques":1094},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":10,"ques":" <span class='basic_left'> T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $E=(x+y)(y+z)(x+z)$ bi\u1ebft r\u1eb1ng $x+y+z=0$ v\u00e0 $xyz=2$ <\/span>","select":["A. $E=0$","B. $E=1$","C. $E=-1$","D. $E=-2$"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u1eeb $x+y+z=0$ r\u00fat ra gi\u00e1 tr\u1ecb c\u1ee7a $x+y; \\,y+z$ v\u00e0 $x+z$ <br\/> Thay c\u00e1c t\u1ed5ng \u0111\u00f3 v\u00e0o $E$ <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> T\u1eeb $x+y+z=0 \\Rightarrow x+y=-z;\\, y+z=-x;\\, x+z=-y$ <br\/> Thay $x+y=-z;\\, y+z=-x;\\, x+z=-y$ v\u00e0o $E$ ta c\u00f3: <br\/> $E=\\left( -z \\right).\\left( -x \\right).\\left( -y \\right)=-xyz=-2$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 D.<\/span><\/span>","column":4}]}],"id_ques":1095},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 \u0111\u00fang nh\u1ea5t v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["-1"],["0"],["1"],["3"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" <span class='basic_left'> T\u00ecm gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a bi\u1ebfn $x$ \u0111\u1ec3 bi\u1ec3u th\u1ee9c $N=\\dfrac{9x+5}{3x-1}$ nh\u1eadn gi\u00e1 tr\u1ecb nguy\u00ean. <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $\\left[ \\begin{align} & x=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ & x= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}\\\\ & x=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ & x=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ \\end{align} \\right.$ <\/span>","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Ph\u00e2n t\u00edch bi\u1ec3u th\u1ee9c $N$ v\u1ec1 d\u1ea1ng $a+\\dfrac{b}{B(x)}$ v\u1edbi $a;b$ l\u00e0 h\u1eb1ng s\u1ed1, $B(x)$ l\u00e0 bi\u1ec3u th\u1ee9c ch\u1ee9a bi\u1ebfn $x$ <br\/> \u0110\u1ec3 $N\\in \\mathbb{Z}$ th\u00ec $B(x)\\in \u01af(b)$ <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $N=\\dfrac{9x+5}{3x-1}=\\dfrac{3\\left( 3x-1 \\right)+8}{3x-1}=3+\\dfrac{8}{3x-1}$ <br\/> \u0110\u1ec3 $N\\in \\mathbb{Z}\\Rightarrow 8\\,\\,\\,\\vdots \\,\\,\\,\\left( 3x-1 \\right)\\,\\,\\Rightarrow \\left( 3x-1 \\right)\\,\\,\\in \u01af\\left( 8 \\right)$ <br\/> M\u00e0 $\u01af\\left( 8 \\right)=\\left\\{ \\pm 1;\\,\\,\\pm 2;\\,\\,\\pm 4;\\,\\,\\pm 8 \\right\\}$ <br\/> Ta c\u00f3 b\u1ea3ng sau: <br\/> <table><tr><th>$3x-1$<\/th><th>-8<\/th><th>-4<\/th><th>-2<\/th><th>-1<\/th><th>1<\/th><th>2<\/th><th>4<\/th><th>8<\/th><\/tr><tr><td>$x$<\/td><td>$\\dfrac{-7}{3}$<\/td><td>$-1$<\/td><td>$\\dfrac{-1}{3}$<\/td><td>0<\/td><td>$\\dfrac{2}{3}$<\/td><td>1<\/td><td>$\\dfrac{5}{3}$<\/td><td>3<\/td><\/tr><\/table> <br\/> Do $x\\in \\mathbb{Z}$ n\u00ean $x\\in \\{-1;0;1;3\\}$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o c\u00e1c \u00f4 tr\u1ed1ng l\u00e0 $-1;0;1;3$ <\/span><\/span>"}]}],"id_ques":1096},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 \u0111\u00fang nh\u1ea5t v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"],["2"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" <span class='basic_left'> X\u00e1c \u0111\u1ecbnh $a;b\\in \\mathbb{Z}$ bi\u1ebft r\u1eb1ng $3x=(a+b)x+2a-b$ <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $\\left\\{ \\begin{align} & a= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ & b= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ \\end{align} \\right.$ <\/span>","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> \u0110\u1ed3ng nh\u1ea5t h\u1ec7 s\u1ed1 c\u1ee7a bi\u1ec3u th\u1ee9c v\u1ebf tr\u00e1i v\u1edbi h\u1ec7 s\u1ed1 c\u1ee7a bi\u1ec3u th\u1ee9c v\u1ebf ph\u1ea3i. <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Theo b\u00e0i: $3x=(a+b)x+2a-b$ <br\/> \u0110\u1ed3ng nh\u1ea5t h\u1ec7 s\u1ed1 bi\u1ec3u th\u1ee9c \u1edf hai v\u1ebf tr\u00ean, ta c\u00f3: <br\/> $\\left\\{ \\begin{align} & 3=a+b\\,\\,\\,\\left( 1 \\right) \\\\ & 0=2a-b\\,\\,\\,\\,\\left( 2 \\right) \\\\ \\end{align} \\right.$ <br\/> T\u1eeb (2) ta c\u00f3: $b=2a$ <br\/> Thay $b=2a$ v\u00e0o (1) ta \u0111\u01b0\u1ee3c: <br\/> $3=a+2a \\Rightarrow 3a=3 \\Rightarrow a=1$ <br\/> $\\Rightarrow b=2a=2.1=2$ <br\/> V\u1eady $a=1;b=2$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o c\u00e1c \u00f4 tr\u1ed1ng l\u1ea7n l\u01b0\u1ee3t l\u00e0 $1;2$ <\/span><\/span>"}]}],"id_ques":1097},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y \u0110\u00fang hay Sai","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" <span class='basic_left'> V\u1edbi $\\forall x;y \\in \\mathbb{Q}$ th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c sau lu\u00f4n lu\u00f4n l\u00e0 s\u1ed1 d\u01b0\u01a1ng: <br\/> $M=\\dfrac{3\\left( {{x}^{2}}+1 \\right)+{{x}^{2}}{{y}^{2}}+{{y}^{2}}-2}{{{\\left( x+y \\right)}^{2}}+5}$ <\/span>","select":["\u0110\u00fang","Sai "],"hint":"Bi\u1ebfn \u0111\u1ed5i v\u00e0 nh\u1eadn \u0111\u1ecbnh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c \u0111\u00e3 cho","explain":"<span class='basic_left'> Ta c\u00f3: <br\/> $\\begin{aligned}& M=\\dfrac{3\\left( {{x}^{2}}+1 \\right)+{{x}^{2}}{{y}^{2}}+{{y}^{2}}-2}{{{\\left( x+y \\right)}^{2}}+5} \\\\ & \\,\\,\\,\\,\\,\\,=\\dfrac{3{{x}^{2}}+3+{{x}^{2}}{{y}^{2}}+{{y}^{2}}-2}{{{\\left( x+y \\right)}^{2}}+5} \\\\ & \\,\\,\\,\\,\\,=\\dfrac{3{{x}^{2}}+{{x}^{2}}{{y}^{2}}+{{y}^{2}}+1}{{{\\left( x+y \\right)}^{2}}+5} \\\\ & Do\\,\\,\\left\\{ \\begin{aligned}& {{x}^{2}}\\ge 0 \\,\\forall \\,x \\\\ & {{x}^{2}}{{y}^{2}}\\ge 0 \\, \\forall \\,x,y\\\\ & {{y}^{2}}\\ge 0 \\,\\forall \\,y \\\\ \\end{aligned} \\right.\\Rightarrow 3{{x}^{2}}+{{x}^{2}}{{y}^{2}}+{{y}^{2}}+1\\ge 1\\,\\,\\,\\,\\,\\,\\left( 1 \\right) \\\\ & Do\\,\\,{{\\left( x+y \\right)}^{2}}\\ge 0\\,\\,\\,\\Rightarrow {{\\left( x+y \\right)}^{2}}+5\\ge 5\\,\\,\\,\\,\\left( 2 \\right) \\\\ \\end{aligned}$ <br\/> T\u1eeb (1) v\u00e0 (2) suy ra $M >0$ v\u1edbi $\\forall x;y \\in \\mathbb{Q}$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 \u0110\u00fang.<\/span><\/span>","column":2}]}],"id_ques":1098},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" <span class='basic_left'> T\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t (GTLN) c\u1ee7a bi\u1ec3u th\u1ee9c: $B=\\dfrac{{{x}^{2}}+{{y}^{2}}+3}{{{x}^{2}}+{{y}^{2}}+2}$ <\/span>","select":["A. $Max\\,B=1\\dfrac{1}{2}$ khi $x=y=0$","B. $Max\\,B=\\dfrac{5}{4}$ khi $x=y=1$","C. $Max\\,B=\\dfrac{4}{3}$ khi $x=0;y=1$","D. $Max\\,B=\\dfrac{4}{3}$ khi $x=1;y=0$"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Ph\u00e2n t\u00edch bi\u1ec3u th\u1ee9c $B$ v\u1ec1 d\u1ea1ng $a+\\dfrac{b}{A(x)}$ v\u1edbi $a;b$ l\u00e0 h\u1eb1ng s\u1ed1, $A(x)$ l\u00e0 bi\u1ec3u th\u1ee9c ch\u1ee9a bi\u1ebfn $x$ <br\/> $B$ l\u1edbn nh\u1ea5t khi v\u00e0 ch\u1ec9 khi $A(x)$ nh\u1ecf nh\u1ea5t. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\begin{align} & B=\\dfrac{{{x}^{2}}+{{y}^{2}}+3}{{{x}^{2}}+{{y}^{2}}+2} \\\\ & \\,\\,\\,\\,\\,\\,=\\dfrac{\\left( {{x}^{2}}+{{y}^{2}}+2 \\right)+1}{{{x}^{2}}+{{y}^{2}}+2} \\\\ & \\,\\,\\,\\,\\,\\,=1+\\dfrac{1}{{{x}^{2}}+{{y}^{2}}+2} \\\\ \\end{align}$ <br\/> $B$ l\u1edbn nh\u1ea5t khi v\u00e0 ch\u1ec9 khi $\\dfrac{1}{{{x}^{2}}+{{y}^{2}}+2}$ l\u1edbn nh\u1ea5t <br\/> $\\Leftrightarrow x^2+y^2+2$ nh\u1ecf nh\u1ea5t <br\/> Do $x^2\\ge 0;\\,y^2\\ge 0$ n\u00ean $x^2+y^2+2 \\ge 2$ <br\/> $\\Rightarrow x^2+y^2+2$ nh\u1ecf nh\u1ea5t b\u1eb1ng $2$ khi $x=y=0$ <br\/> $\\Rightarrow Max\\,B=1+\\dfrac{1}{2}=1\\dfrac{1}{2}$ khi $x=y=0$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A.<\/span><\/span>","column":2}]}],"id_ques":1099},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 \u0111\u00fang nh\u1ea5t v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["2"],["6"],["4"],["8"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" <span class='basic_left'> X\u00e1c \u0111\u1ecbnh $x;y;z;t$ l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean d\u01b0\u01a1ng bi\u1ebft r\u1eb1ng $yt=48;\\,yz=24;\\,xy=12;\\,zt=32.$ <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $\\left\\{ \\begin{align} & x= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ & y= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ & z= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ & t= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ \\end{align} \\right.$ <\/span>","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Nh\u00e2n t\u1eebng v\u1ebf c\u1ee7a $yt=48$ v\u00e0 $yz=24$ v\u1edbi nhau suy ra gi\u00e1 tr\u1ecb c\u1ee7a $y$ <br\/> T\u1eeb c\u00e1c d\u1eef ki\u1ec7n c\u1ee7a \u0111\u1ec1 b\u00e0i t\u00ecm c\u00e1c gi\u00e1 tr\u1ecb $x;z;t$ <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3: <br\/> $yt=48\\,\\,\\,(1)$ <br\/> $yz=24\\,\\,\\,(2)$ <br\/> $xy=12\\,\\,\\,(3)$ <br\/> $zt=32\\,\\,\\,(4)$ <br\/> Nh\u00e2n t\u1eebng v\u1ebf c\u1ee7a (1) v\u00e0 (2) v\u1edbi nhau ta \u0111\u01b0\u1ee3c: $y^2zt=48.24=1152$ <br\/> V\u00ec $zt=32$ (theo (4)) n\u00ean $y^2.32=1152 \\Rightarrow y^2=1152:32=36$ <br\/> Do $y > 0 \\Rightarrow y=6$ <br\/> Theo (1) suy ra $t=48:y=48:6=8$ (th\u1ecfa m\u00e3n) <br\/> Theo (2) suy ra $z=24:y=24:6=4$ (th\u1ecfa m\u00e3n) <br\/> Theo (3) suy ra $x=12:y=12:6=2$ (th\u1ecfa m\u00e3n) <br\/> V\u1eady $x=2;y=6;z=4;t=8$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o c\u00e1c \u00f4 tr\u1ed1ng l\u1ea7n l\u01b0\u1ee3t l\u00e0 $2;6;4;8$ <\/span><\/span>"}]}],"id_ques":1100}],"lesson":{"save":0,"level":3}}
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