{"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":5,"ques":" <span class='basic_left'> Ph\u01b0\u01a1ng tr\u00ecnh n\u00e0o sau \u0111\u00e2y l\u00e0 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n? <\/span>","select":["A. $2x+1=0$","B. $x^2=0$","C. $x^2-1=0$","D. $x^3+2=0$ "],"explain":" <span class='basic_left'> Ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n c\u00f3 d\u1ea1ng: $ax+b=0\\,\\,(a\\ne 0)$<br\/> Do \u0111\u00f3: $2x+1=0$ l\u00e0 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n. <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A <\/span> ","column":4}]}],"id_ques":791},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t ","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":" <span class='basic_left'> Ph\u01b0\u01a1ng tr\u00ecnh n\u00e0o sau \u0111\u00e2y <b>kh\u00f4ng ph\u1ea3i<\/b> l\u00e0 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n? <\/span>","select":["A. $2+y=0$","B. $y=0$","C. $x+y=0$","D. $1-y=0$ "],"explain":" <span class='basic_left'> $x+y=0$ kh\u00f4ng l\u00e0 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n v\u00ec trong ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 ch\u1ee9a hai \u1ea9n $x$ v\u00e0 $y$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 C <\/span> <br\/> <b> L\u01b0u \u00fd: <\/b> <i> Ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n c\u00f3 d\u1ea1ng: $ax+b=0\\,\\,(a\\ne 0)$ <\/i> <\/span> ","column":4}]}],"id_ques":792},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["3"]]],"list":[{"point":5,"width":40,"type_input":"","ques":"<span class='basic_left'> Ph\u01b0\u01a1ng tr\u00ecnh $5x-15=0$ c\u00f3 m\u1ed9t nghi\u1ec7m $x=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$ <\/span> ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> \u00c1p d\u1ee5ng quy t\u1eafc chuy\u1ec3n v\u1ebf v\u00e0 quy t\u1eafc nh\u00e2n \u0111\u1ec3 t\u00ecm nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t \u0111\u00e3 cho. <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i<\/span> <br\/> Ta c\u00f3: <br\/> $\\begin{align} & 5x-15=0 \\\\ & \\Leftrightarrow 5x=15 \\\\ & \\Leftrightarrow x=3 \\\\ \\end{align}$ <br\/> Suy ra $x=3$ l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh <br\/> <span class='basic_pink'> V\u1eady c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $3$ <\/span> <\/span> "}]}],"id_ques":793},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["6"]]],"list":[{"point":5,"width":40,"type_input":"","input_hint":["frac"],"ques":"<span class='basic_left'> Ph\u01b0\u01a1ng tr\u00ecnh $\\dfrac{1}{2}y-3=0$ c\u00f3 nghi\u1ec7m $y$ = _input_ <\/span> ","explain":" <span class='basic_left'> Ta c\u00f3: <br\/> $\\begin{align} & \\dfrac{1}{2}y-3=0 \\\\ & \\Leftrightarrow \\dfrac{1}{2}y=3 \\\\ & \\Leftrightarrow y=6 \\end{align}$ <br\/> Suy ra $y=6$ l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh.<\/span>"}]}],"id_ques":794},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t ","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" <span class='basic_left'> Ph\u01b0\u01a1ng tr\u00ecnh $ax-5=0$ c\u00f3 nghi\u1ec7m $x=4$ th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a $a$ l\u00e0: <\/span>","select":["A. $\\dfrac{5}{4}$","B. $\\dfrac{4}{5}$","C. $4$","D. $5$ "],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/><b> B\u01b0\u1edbc 1: <\/b> Thay nghi\u1ec7m $x=4$ v\u00e0o ph\u01b0\u01a1ng tr\u00ecnh $ax-5=0$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh \u0111\u00e3 cho theo \u1ea9n $a$ \u0111\u1ec3 t\u00ecm $a$ <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i<\/span> <br\/> Thay $x=4$ v\u00e0o ph\u01b0\u01a1ng tr\u00ecnh $ax-5=0$, ta \u0111\u01b0\u1ee3c: <br\/> $a.4-5=0$ <br\/> $\\Leftrightarrow 4a=5$ <br\/> $\\Leftrightarrow a=\\dfrac{5}{4}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A <\/span> <\/span> ","column":2}]}],"id_ques":795},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t ","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":" <span class='basic_left'> Ph\u01b0\u01a1ng tr\u00ecnh $ax-\\dfrac{1}{5}=0$ c\u00f3 nghi\u1ec7m $x=\\dfrac{1}{3}$ th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a $a$ l\u00e0 <\/span>","select":["A. $5$","B. $3$","C. $\\dfrac{5}{3}$","D. $\\dfrac{3}{5}$ "],"explain":" <span class='basic_left'> Thay $x=\\dfrac{1}{3}$ v\u00e0o ph\u01b0\u01a1ng tr\u00ecnh $ax-\\dfrac{1}{5}=0$, ta \u0111\u01b0\u1ee3c: <br\/> $a.\\dfrac{1}{3}-\\dfrac{1}{5}=0$ <br\/> $\\Leftrightarrow \\dfrac{1}{3}a=\\dfrac{1}{5}$ <br\/> $\\Leftrightarrow a=\\dfrac{1}{5}:\\dfrac{1}{3}$ <br\/> $\\Leftrightarrow a=\\dfrac{3}{5}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 D <\/span> <\/span> ","column":2}]}],"id_ques":796},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["8"]]],"list":[{"point":5,"width":40,"type_input":"","input_hint":["frac"],"ques":"<span class='basic_left'> Ph\u01b0\u01a1ng tr\u00ecnh $2x-16=16-2x$ c\u00f3 nghi\u1ec7m $x$ = _input_ <\/span> ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> \u00c1p d\u1ee5ng quy t\u1eafc chuy\u1ec3n v\u1ebf v\u00e0 quy t\u1eafc nh\u00e2n \u0111\u1ec3 t\u00ecm nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i<\/span> <br\/> Ta c\u00f3: <br\/> $\\begin{align} & 2x-16=16-2x \\\\ & \\Leftrightarrow 2x+2x=16+16 \\\\ & \\Leftrightarrow 4x=32 \\\\ & \\Leftrightarrow x=8 \\end{align}$ <br\/> Suy ra $x=8$ l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh.<\/span> "}]}],"id_ques":797},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"],["2"]]],"list":[{"point":5,"width":40,"type_input":"","input_hint":["frac"],"ques":"Ph\u01b0\u01a1ng tr\u00ecnh $y-4=-3-y$ c\u00f3 nghi\u1ec7m $y$ = <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","explain":" <span class='basic_left'> Ta c\u00f3: <br\/> $\\begin{align} & y-4=-3-y \\\\ & \\Leftrightarrow y+y=-3+4 \\\\ & \\Leftrightarrow 2y=1 \\\\ & \\Leftrightarrow y=\\dfrac{1}{2} \\end{align}$ <br\/> Suy ra $y=\\dfrac{1}{2} $ l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh.<\/span> "}]}],"id_ques":798},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["5"]]],"list":[{"point":5,"width":40,"type_input":"","input_hint":["frac"],"ques":"<span class='basic_left'> Ph\u01b0\u01a1ng tr\u00ecnh $7x-8=4x+7$ c\u00f3 nghi\u1ec7m $x$ = _input_ <\/span> ","explain":" <span class='basic_left'> Ta c\u00f3: <br\/> $\\begin{align} & 7x-8=4x+7 \\\\ & \\Leftrightarrow 7x-4x=7+8 \\\\ & \\Leftrightarrow 3x=15 \\\\ & \\Leftrightarrow x=5 \\\\ \\end{align}$ <br\/> Suy ra $x=5 $ l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh.<\/span> "}]}],"id_ques":799},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t ","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" <span class='basic_left'> T\u1eadp nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $x^2-2x=3$ l\u00e0: <\/span>","select":["A. $S=\\{3;-1\\}$","B. $S=\\{2;-1\\}$","C. $S=\\{3;2\\}$","D. $S=\\{-1\\}$ "],"explain":" <span class='basic_left'>Ta c\u00f3: <br\/> $\\begin{aligned} & {{x}^{2}}-2x=3 \\\\ & \\Leftrightarrow {{x}^{2}}-2x-3=0 \\\\ & \\Leftrightarrow {{x}^{2}}-3x+x-3=0 \\\\ & \\Leftrightarrow x\\left( x-3 \\right)+\\left( x-3 \\right)=0 \\\\ & \\Leftrightarrow \\left( x-3 \\right)\\left( x+1 \\right)=0 \\\\ & \\Leftrightarrow \\left[ \\begin{aligned} & x-3=0 \\\\ & x+1=0 \\\\ \\end{aligned} \\right. \\\\ & \\Leftrightarrow \\left[ \\begin{aligned} & x=3 \\\\ & x=-1 \\\\ \\end{aligned} \\right. \\\\ \\end{aligned}$ <br\/> Ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 t\u1eadp nghi\u1ec7m l\u00e0: $S=\\{3;-1\\}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A <\/span> <\/span> ","column":4}]}],"id_ques":800},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t ","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":" <span class='basic_left'> T\u1eadp nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $2x+5=20-3x$ l\u00e0: <\/span>","select":["A. $S=\\{-15\\}$","B. $S=\\{20\\} $","C. $S=\\{5\\}$","D. $S=\\{3\\}$ "],"explain":" <span class='basic_left'>Ta c\u00f3: <br\/> $\\begin{align} & 2x+5=20-3x \\\\ & \\Leftrightarrow 2x+3x=20-5 \\\\ & \\Leftrightarrow 5x=15 \\\\ & \\Leftrightarrow x=3 \\\\ \\end{align}$ <br\/> Ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 t\u1eadp nghi\u1ec7m l\u00e0: $S=\\{3\\}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 D <\/span> <\/span> ","column":4}]}],"id_ques":801},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t ","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":" <span class='basic_left'> T\u1eadp nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $13-2y=y-2$ l\u00e0: <\/span>","select":["A. $S=\\{15\\}$","B. $S=\\{-15\\} $","C. $S=\\{5\\}$","D. $S=\\{-5\\}$ "],"explain":" <span class='basic_left'>Ta c\u00f3: <br\/> $\\begin{align} & 13-2y=y-2 \\\\ & \\Leftrightarrow -2y-y=-2-13 \\\\ & \\Leftrightarrow -3y=-15 \\\\ & \\Leftrightarrow y=5 \\\\ \\end{align}$ <br\/> Ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 t\u1eadp nghi\u1ec7m l\u00e0: $S=\\{5\\}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 C <\/span> <\/span> ","column":4}]}],"id_ques":802},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y <b> \u0110\u00fang<\/b> hay <b> Sai<\/b> ","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" <span class='basic_left'> C\u1eb7p ph\u01b0\u01a1ng tr\u00ecnh $2x=2$ v\u00e0 $x-1=0$ t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi nhau <\/span>","select":[" \u0110\u00fang"," Sai "],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> D\u00f9ng ph\u00e9p bi\u1ebfn \u0111\u1ed5i t\u01b0\u01a1ng \u0111\u01b0\u01a1ng \u0111\u1ec3 bi\u1ebfn ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y th\u00e0nh ph\u01b0\u01a1ng tr\u00ecnh kia <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i<\/span> <br\/> X\u00e9t $2x=2$ <br\/> $\\Leftrightarrow 2x-2=0$ <br\/> $\\Leftrightarrow 2(x-1)=0$ <br\/> $\\Leftrightarrow x-1=0$ <br\/> Do \u0111\u00f3, hai ph\u01b0\u01a1ng tr\u00ecnh $2x=2$ v\u00e0 $x-1=0$ t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi nhau <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 \u0110\u00fang <\/span> <br\/> <b> L\u01b0u \u00fd: <\/b> <i> \u0110\u1ec3 ch\u1ee9ng t\u1ecf hai ph\u01b0\u01a1ng tr\u00ecnh (1) v\u00e0 (2) t\u01b0\u01a1ng \u0111\u01b0\u01a1ng c\u00f3 hai c\u00e1ch hay d\u00f9ng: <br\/> <b> C\u00e1ch 1: <\/b> Ch\u1ee9ng t\u1ecf (1) v\u00e0 (2) c\u00f3 c\u00e1c t\u1eadp nghi\u1ec7m $S_1$ v\u00e0 $S_2$ b\u1eb1ng nhau. <br\/> <b> C\u00e1ch 2: <\/b> D\u00f9ng ph\u00e9p bi\u1ebfn \u0111\u1ed5i t\u01b0\u01a1ng \u0111\u01b0\u01a1ng \u0111\u1ec3 bi\u1ebfn (1) th\u00e0nh (2) ho\u1eb7c bi\u1ebfn \u0111\u1ed5i (2) th\u00e0nh (1). <\/i> <\/span> ","column":2}]}],"id_ques":803},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y <b> \u0110\u00fang<\/b> hay <b> Sai<\/b> ","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" <span class='basic_left'> C\u1eb7p ph\u01b0\u01a1ng tr\u00ecnh $x^2-4=0$ v\u00e0 $|x|=2$ t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi nhau. <\/span>","select":[" \u0110\u00fang"," Sai "],"explain":" <span class='basic_left'> X\u00e9t $x^2-4=0$ <br\/> $\\Leftrightarrow (x+2)(x-2)=0$ <br\/> $\\begin{aligned} & \\Leftrightarrow \\left[ \\begin{aligned} & x+2=0 \\\\ & x-2=0 \\\\ \\end{aligned} \\right. \\\\ & \\Leftrightarrow \\left[ \\begin{aligned} & x=-2 \\\\ & x=2 \\\\ \\end{aligned} \\right. \\\\ \\end{aligned}$ <br\/> T\u1eadp nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $x^2-4=0$ l\u00e0: $S = \\{2;-2\\}$ <br\/> X\u00e9t ph\u01b0\u01a1ng tr\u00ecnh c\u00f2n l\u1ea1i: <br\/> $\\begin{aligned} & \\left| x \\right|=2 \\\\ & \\Rightarrow \\left[ \\begin{aligned} & x=2 \\\\ & x=-2 \\\\ \\end{aligned} \\right. \\\\ \\end{aligned}$ <br\/> T\u1eadp nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $|x|=2$ l\u00e0: $S = \\{2;-2\\}$ <br\/> Do \u0111\u00f3, hai ph\u01b0\u01a1ng tr\u00ecnh $x^2-4=0$ v\u00e0 $|x|=2$ t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi nhau <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 \u0110\u00fang <\/span> <br\/> <b> L\u01b0u \u00fd: <\/b> <i> \u0110\u1ec3 ch\u1ee9ng t\u1ecf hai ph\u01b0\u01a1ng tr\u00ecnh (1) v\u00e0 (2) t\u01b0\u01a1ng \u0111\u01b0\u01a1ng c\u00f3 hai c\u00e1ch hay d\u00f9ng: <br\/> <b> C\u00e1ch 1: <\/b> Ch\u1ee9ng t\u1ecf (1) v\u00e0 (2) c\u00f3 c\u00e1c t\u1eadp nghi\u1ec7m $S_1$ v\u00e0 $S_2$ b\u1eb1ng nhau. <br\/> <b> C\u00e1ch 2: <\/b> D\u00f9ng ph\u00e9p bi\u1ebfn \u0111\u1ed5i t\u01b0\u01a1ng \u0111\u01b0\u01a1ng \u0111\u1ec3 bi\u1ebfn (1) th\u00e0nh (2) ho\u1eb7c bi\u1ebfn \u0111\u1ed5i (2) th\u00e0nh (1). <\/i> <\/span> ","column":2}]}],"id_ques":804},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y <b> \u0110\u00fang<\/b> hay <b> Sai<\/b> ","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":" <span class='basic_left'> C\u1eb7p ph\u01b0\u01a1ng tr\u00ecnh $x+3=0$ v\u00e0 $\\dfrac{x}{x+3}=0$ t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi nhau. <\/span>","select":[" \u0110\u00fang"," Sai "],"explain":" <span class='basic_left'> X\u00e9t $x+3=0$ <br\/> $\\Leftrightarrow x=-3$ <br\/> T\u1eadp nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $x+3=0$ l\u00e0: $S = \\{-3\\}$ <br\/> X\u00e9t ph\u01b0\u01a1ng tr\u00ecnh c\u00f2n l\u1ea1i: <br\/> $\\dfrac{x}{x+3}=0$ <br\/> $\\Rightarrow x=0$ <br\/> T\u1eadp nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $\\dfrac{x}{x+3}=0$ l\u00e0: $S = \\{0\\}$ <br\/> Do \u0111\u00f3, hai ph\u01b0\u01a1ng tr\u00ecnh $x+3=0$ v\u00e0 $\\dfrac{x}{x+3}=0$ kh\u00f4ng t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi nhau <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 Sai <\/span> <br\/> <b> L\u01b0u \u00fd: <\/b> <i> \u0110\u1ec3 ch\u1ee9ng t\u1ecf hai ph\u01b0\u01a1ng tr\u00ecnh (1) v\u00e0 (2) t\u01b0\u01a1ng \u0111\u01b0\u01a1ng c\u00f3 hai c\u00e1ch hay d\u00f9ng: <br\/> <b> C\u00e1ch 1: <\/b> Ch\u1ee9ng t\u1ecf (1) v\u00e0 (2) c\u00f3 c\u00e1c t\u1eadp nghi\u1ec7m $S_1$ v\u00e0 $S_2$ b\u1eb1ng nhau. <br\/> <b> C\u00e1ch 2: <\/b> D\u00f9ng ph\u00e9p bi\u1ebfn \u0111\u1ed5i t\u01b0\u01a1ng \u0111\u01b0\u01a1ng \u0111\u1ec3 bi\u1ebfn (1) th\u00e0nh (2) ho\u1eb7c bi\u1ebfn \u0111\u1ed5i (2) th\u00e0nh (1). <\/i> <\/span> ","column":2}]}],"id_ques":805},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["9"]]],"list":[{"point":5,"width":40,"type_input":"","ques":"<span class='basic_left'> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t sau: $7x-63=0$ <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $x=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$ <\/span> ","explain":" <span class='basic_left'> Ta c\u00f3: <br\/> $7x-63=0$ <br\/> $\\Leftrightarrow 7x=63$ <br\/> $\\Leftrightarrow x=9$ <br\/> Suy ra $x=9$ l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh <br\/> <span class='basic_pink'> V\u1eady c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $9$ <\/span> <\/span> "}]}],"id_ques":806},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-1"],["2"]]],"list":[{"point":5,"width":40,"type_input":"","input_hint":["frac"],"ques":"Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t sau: $\\dfrac{1}{4}+\\dfrac{1}{2}x=0$ <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $x=$ <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","explain":" <span class='basic_left'> Ta c\u00f3: <br\/>$\\dfrac{1}{4}+\\dfrac{1}{2}x=0$ <br\/> $\\Leftrightarrow \\dfrac{1}{2}x=-\\dfrac{1}{4}$ <br\/> $\\Leftrightarrow x=-\\dfrac{1}{4}:\\dfrac{1}{2}$ <br\/> $\\Leftrightarrow x=-\\dfrac{1}{2}$ <br\/> Suy ra $x=-\\dfrac{1}{2}$ l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh. <\/span> "}]}],"id_ques":807},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-4"]]],"list":[{"point":5,"width":40,"type_input":"","input_hint":["frac"],"ques":"<span class='basic_left'> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t sau: $2x+x+12=0$ <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $x=$ _input_ <\/span> ","explain":" <span class='basic_left'> Ta c\u00f3: <br\/>$2x+x+12=0$ <br\/> $\\Leftrightarrow 3x+12=0$ <br\/> $\\Leftrightarrow 3x=-12$ <br\/> $\\Leftrightarrow x=-4$ <br\/> Suy ra $x=-4$ l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh.<\/span> "}]}],"id_ques":808},{"time":24,"part":[{"time":3,"title":"N\u1ed1i nghi\u1ec7m b\u00ean c\u1ed9t ph\u1ea3i sao cho \u0111\u00fang v\u1edbi ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a n\u00f3 \u1edf c\u1ed9t tr\u00e1i","title_trans":"","audio":"","temp":"matching","correct":[["3","2","1"]],"list":[{"point":5,"left":[" Ph\u01b0\u01a1ng tr\u00ecnh $-3x+18=0$"," Ph\u01b0\u01a1ng tr\u00ecnh $6x+36=0$"," Ph\u01b0\u01a1ng tr\u00ecnh $4(x+1)-8=0$"],"right":["C\u00f3 nghi\u1ec7m $x=1$ ","C\u00f3 nghi\u1ec7m $x=-6$","C\u00f3 nghi\u1ec7m $x=6$"],"top":100,"explain":"<span class='basic_left'> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh: $-3x+18=0$ <br\/> $\\Leftrightarrow -3x=-18$ <br\/> $\\Leftrightarrow x=6$ <br\/> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh $6x+36=0$ <br\/> $\\Leftrightarrow 6x=-36$ <br\/> $\\Leftrightarrow x=-6$ <br\/> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh $4(x+1)-8=0$ <br\/> $\\Leftrightarrow 4x+4-8=0$ <br\/> $\\Leftrightarrow 4x-4=0$ <br\/> $\\Leftrightarrow x=1$ <\/span>"}]}],"id_ques":809},{"time":24,"part":[{"time":3,"title":"N\u1ed1i nghi\u1ec7m b\u00ean c\u1ed9t ph\u1ea3i sao cho \u0111\u00fang v\u1edbi ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a n\u00f3 \u1edf c\u1ed9t tr\u00e1i","title_trans":"","audio":"","temp":"matching","correct":[["2","3","1"]],"list":[{"point":5,"left":[" Ph\u01b0\u01a1ng tr\u00ecnh $5-3y=0$"," Ph\u01b0\u01a1ng tr\u00ecnh $4+5y=0$"," Ph\u01b0\u01a1ng tr\u00ecnh $3(1-y)=2$"],"right":["C\u00f3 nghi\u1ec7m $y=\\dfrac{1}{3}$ ","C\u00f3 nghi\u1ec7m $y=\\dfrac{5}{3}$","C\u00f3 nghi\u1ec7m $y=-\\dfrac{4}{5}$"],"top":100,"explain":"<span class='basic_left'> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh: $5-3y=0$ <br\/> $\\Leftrightarrow -3y=-5$ <br\/> $\\Leftrightarrow y=\\dfrac{5}{3}$ <br\/> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh $4+5y=0$ <br\/> $\\Leftrightarrow 5y=-4$ <br\/> $\\Leftrightarrow y=-\\dfrac{4}{5}$ <br\/> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh $3(1-y)=2$ <br\/> $\\Leftrightarrow 3-3y=2$ <br\/> $\\Leftrightarrow -3y=-1$ <br\/> $\\Leftrightarrow y=\\dfrac{1}{3}$ <\/span>"}]}],"id_ques":810}],"lesson":{"save":0,"level":1}}