{"common":{"save":0,"post_id":"1405","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"1241","post_id":"1405","mon_id":"0","chapter_id":"0","question":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y \u0110\u00fang hay Sai","options":{"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'> \u0110a th\u1ee9c $4x^{2004}+6x^{2006}+2007$ kh\u00f4ng c\u00f3 nghi\u1ec7m trong $\\mathbb{R}.$<\/span>","select":["\u0110\u00fang","Sai "],"hint":"Nh\u1eadn \u0111\u1ecbnh v\u1ec1 gi\u00e1 tr\u1ecb c\u1ee7a $x^{2004}$ v\u00e0 $x^{2006}$","explain":"<span class='basic_left'> Ta c\u00f3 $x^{2004} \\ge 0; x^{2006}\\ge 0$ v\u1edbi m\u1ecdi $x$ <br\/> $\\Rightarrow 4x^{2004}+6x^{2006}+2007 \\ge 2007 > 0$ v\u1edbi $\\forall x \\in \\mathbb{R}$ <br\/> Do \u0111\u00f3, \u0111a th\u1ee9c $4x^{2004}+6x^{2006}+2007$ kh\u00f4ng c\u00f3 nghi\u1ec7m trong $\\mathbb{R}$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 \u0110\u00fang.<\/span><\/span>","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:57"},{"id":"1242","post_id":"1405","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 \u0111\u00fang nh\u1ea5t v\u00e0o \u00f4 tr\u1ed1ng","options":{"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":[[["-0,2"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","input_hint":["frac"],"ques":" <span class='basic_left'> Cho \u0111a th\u1ee9c sau: <br\/> $Q\\left( x \\right)=4,3+\\left[ -3,4x-\\left( 8x+6 \\right)-2,3 \\right]-\\left( 2,6x-1,2 \\right)$ <br\/> \u0110\u1ec3 $Q(x)=0$ th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a $x$ l\u00e0 _input_ <\/span> ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>R\u00fat g\u1ecdn \u0111a th\u1ee9c $Q(x)$ <br\/> Cho $Q(x)=0$ r\u1ed3i t\u00ecm $x$<br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/> $\\begin{align} & Q\\left( x \\right)=4,3+\\left[ -3,4x-\\left( 8x+6 \\right)-2,3 \\right]-\\left( 2,6x-1,2 \\right) \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=4,3+\\left(-3,4x-8x-6-2,3 \\right)-2,6x+1,2 \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=4,3+\\left(-11,4x-8,3 \\right)-2,6x+1,2 \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=4,3-11,4x-8,3-2,6x+1,2 \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=-14x-2,8 \\\\ \\end{align}$ <br\/> \u0110\u1ec3 $Q(x)=0$ ta c\u00f3: <br\/> $\\begin{align} -14x-2,8 &=0 \\\\ 14x &=-2,8 \\\\ x &=-0,2 \\\\ \\end{align}$<\/span>"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:57"},{"id":"1243","post_id":"1405","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 \u0111\u00fang nh\u1ea5t v\u00e0o \u00f4 tr\u1ed1ng","options":{"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":[[["8"],["3"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" <span class='basic_left'> Cho hai \u0111a th\u1ee9c sau: <br\/> $A={{x}^{6}}-3{{x}^{3}}+3{{x}^{2}}-6x+2{{x}^{3}}+10-3{{x}^{2}}-{{x}^{6}}$ <br\/> $B=3{{x}^{2}}-5x+2-6{{x}^{2}}+4{{x}^{3}}+5-8{{x}^{5}}-{{x}^{3}}$ <br\/> H\u1ec7 s\u1ed1 cao nh\u1ea5t c\u1ee7a \u0111a th\u1ee9c $A-B$ l\u00e0 _input_ <br\/> H\u1ec7 s\u1ed1 t\u1ef1 do c\u1ee7a \u0111a th\u1ee9c $A-B$ l\u00e0 _input_ <\/span> ","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> R\u00fat g\u1ecdn hai \u0111a th\u1ee9c $A$ v\u00e0 $B$ \u0111\u00e3 cho v\u00e0 s\u1eafp x\u1ebfp theo l\u0169y th\u1eeba gi\u1ea3m d\u1ea7n. <br\/> T\u00ednh $A-B$ v\u00e0 t\u00ecm h\u1ec7 s\u1ed1 cao nh\u1ea5t v\u00e0 h\u1ec7 s\u1ed1 t\u1ef1 do c\u1ee7a \u0111a th\u1ee9c $A-B$ <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $\\begin{align} & A={{x}^{6}}-3{{x}^{3}}+3{{x}^{2}}-6x+2{{x}^{3}}+10-3{{x}^{2}}-{{x}^{6}} \\\\ & \\,\\,\\,\\,\\,\\,=\\left( {{x}^{6}}-{{x}^{6}} \\right)+\\left( -3{{x}^{3}}+2{{x}^{3}} \\right)+\\left( 3{{x}^{2}}-3{{x}^{2}} \\right)-6x+10 \\\\ & \\,\\,\\,\\,\\,\\,=-{{x}^{3}}-6x+10 \\\\ & B=3{{x}^{2}}-5x+2-6{{x}^{2}}+4{{x}^{3}}+5-8{{x}^{5}}-{{x}^{3}} \\\\ & \\,\\,\\,\\,\\,=-8{{x}^{5}}+\\left( 4{{x}^{3}}-{{x}^{3}} \\right)+\\left( 3{{x}^{2}}-6{{x}^{2}} \\right)-5x+\\left( 2+5 \\right) \\\\ & \\,\\,\\,\\,\\,=-8{{x}^{5}}+3{{x}^{3}}-3{{x}^{2}}-5x+7 \\\\ & \\Rightarrow A-B=\\left( -{{x}^{3}}-6x+10 \\right)-\\left( -8{{x}^{5}}+3{{x}^{3}}-3{{x}^{2}}-5x+7 \\right) \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=-{{x}^{3}}-6x+10+8{{x}^{5}}-3{{x}^{3}}+3{{x}^{2}}+5x-7 \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=8{{x}^{5}}+\\left( -{{x}^{3}}-3{{x}^{3}} \\right)+3{{x}^{2}}+\\left( -6x+5x \\right)+\\left( 10-7 \\right) \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=8{{x}^{5}}-4{{x}^{3}}+3{{x}^{2}}-x+3 \\\\ \\end{align}$ <br\/> L\u0169y th\u1eeba cao nh\u1ea5t b\u1eadc $5$ n\u00ean h\u1ec7 s\u1ed1 cao nh\u1ea5t c\u1ee7a \u0111a th\u1ee9c $A-B$ l\u00e0 $8$ <br\/> H\u1ec7 s\u1ed1 t\u1ef1 do l\u00e0 $3$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $8$ v\u00e0 $3$<\/span><\/span>"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:22:57"}]}