{"segment":[{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":" <span class='basic_left'> \u0110a th\u1ee9c n\u00e0o sau \u0111\u00e2y l\u00e0 <b> \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn<\/b>? <\/span>","select":["A. $x^2+x+y$","B. $x+1$","C. $x+y$","D. $y^2-xy+y-1$"],"hint":"\u0110a th\u1ee9c m\u1ed9t bi\u1ebfn l\u00e0 t\u1ed5ng c\u1ee7a nh\u1eefng \u0111\u01a1n th\u1ee9c c\u1ee7a c\u00f9ng m\u1ed9t bi\u1ebfn.","explain":"<span class='basic_left'> \u0110a th\u1ee9c $x^2+x+y$ c\u00f3 hai bi\u1ebfn $x$ v\u00e0 $y$ n\u00ean kh\u00f4ng ph\u1ea3i l\u00e0 <b> \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn<\/b>. <br\/> \u0110a th\u1ee9c $x+1$ c\u00f3 m\u1ed9t bi\u1ebfn $x$ n\u00ean l\u00e0 <b> \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn<\/b>. <br\/> \u0110a th\u1ee9c $x+y$ c\u00f3 hai bi\u1ebfn $x$ v\u00e0 $y$ n\u00ean kh\u00f4ng ph\u1ea3i l\u00e0 <b> \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn<\/b>. <br\/> \u0110a th\u1ee9c $y^2-xy+y-1$ c\u00f3 hai bi\u1ebfn $x$ v\u00e0 $y$ n\u00ean kh\u00f4ng ph\u1ea3i l\u00e0 <b> \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn<\/b>. <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 B.<\/span><\/span>","column":2}]}],"id_ques":1201},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y \u0110\u00fang hay Sai","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" $2018$ \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn.","select":["\u0110\u00fang","Sai"],"explain":"<span class='basic_left'> Kh\u1eb3ng \u0111\u1ecbnh tr\u00ean l\u00e0 \u0111\u00fang. <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 \u0110\u00fang.<\/span> <br\/> <b> L\u01b0u \u00fd:<\/b> <i> M\u1ed7i s\u1ed1 \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn <\/i><\/span>","column":2}]}],"id_ques":1202},{"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'> \u0110\u1ec3 ch\u1ec9 r\u00f5 $A$ l\u00e0 \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn v\u00e0 l\u00e0 \u0111a th\u1ee9c c\u1ee7a bi\u1ebfn $x$, ng\u01b0\u1eddi ta vi\u1ebft nh\u01b0 sau: <\/span>","select":["A. $A(x)$","B. $xA$","C. $Ax$","D. $x(A)$"],"hint":"","explain":"<span class='basic_left'> \u0110\u1ec3 ch\u1ec9 r\u00f5 $A$ l\u00e0 \u0111a th\u1ee9c c\u1ee7a bi\u1ebfn $x$, ng\u01b0\u1eddi ta vi\u1ebft l\u00e0 $A(x)$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A.<\/span><\/span>","column":2}]}],"id_ques":1203},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y \u0110\u00fang hay Sai","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" B\u1eadc c\u1ee7a \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn (kh\u00e1c \u0111a th\u1ee9c kh\u00f4ng, \u0111\u00e3 thu g\u1ecdn) l\u00e0 s\u1ed1 m\u0169 l\u1edbn nh\u1ea5t c\u1ee7a bi\u1ebfn trong \u0111a th\u1ee9c \u0111\u00f3. ","select":["\u0110\u00fang","Sai"],"explain":"<span class='basic_left'> Kh\u1eb3ng \u0111\u1ecbnh tr\u00ean l\u00e0 \u0111\u00fang. <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 \u0110\u00fang.<\/span> <\/span>","column":2}]}],"id_ques":1204},{"time":24,"part":[{"title":"Ch\u1ecdn <u>nh\u1eefng<\/u> \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"Ch\u1ecdn \u0111\u01b0\u1ee3c nhi\u1ec1u \u0111\u00e1p \u00e1n","temp":"checkbox","correct":[["1","4"]],"list":[{"point":5,"img":"","ques":"Trong c\u00e1c \u0111a th\u1ee9c sau, nh\u1eefng \u0111a th\u1ee9c n\u00e0o l\u00e0 \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn v\u1edbi bi\u1ebfn l\u00e0 $t?$","hint":"","column":2,"number_true":2,"select":["A. $t$","B. $t^2+x$","C. $x^2+x+2$","D. $28-\\dfrac{t}{2}$"],"explain":"<span class='basic_left'>Ta c\u00f3: <br\/> $t$ l\u00e0 \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn v\u1edbi bi\u1ebfn l\u00e0 $t$ <br\/> $t^2+x$ kh\u00f4ng ph\u1ea3i \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn v\u00ec n\u00f3 c\u00f3 hai bi\u1ebfn l\u00e0 $t$ v\u00e0 $x$ <br\/> $x^2+x+2$ l\u00e0 \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn v\u1edbi bi\u1ebfn l\u00e0 $x$ <br\/> $28-\\dfrac{t}{2}$ l\u00e0 \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn v\u1edbi bi\u1ebfn l\u00e0 $t$ <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n c\u1ea7n ch\u1ecdn l\u00e0 A v\u00e0 D.<\/span><\/span>"}]}],"id_ques":1205},{"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"]]],"list":[{"point":5,"width":40,"content":"","type_input":"","ques":" \u0110a th\u1ee9c $x^8+x^7+x^4+18$ c\u00f3 b\u1eadc l\u00e0 _input_ ","explain":"<span class='basic_left'>\u0110a th\u1ee9c $x^8+x^7+x^4+18$ c\u00f3 s\u1ed1 m\u0169 l\u1edbn nh\u1ea5t c\u1ee7a bi\u1ebfn l\u00e0 $8$ <br\/> Do \u0111\u00f3, b\u1eadc c\u1ee7a \u0111a th\u1ee9c tr\u00ean l\u00e0 $8$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $8$.<\/span><\/span>"}]}],"id_ques":1206},{"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":[[["3"]]],"list":[{"point":5,"width":40,"content":"","type_input":"","ques":" \u0110a th\u1ee9c $-\\dfrac{3}{4}x^2+x^3+7-x$ c\u00f3 b\u1eadc l\u00e0 _input_ ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>S\u1eafp x\u1ebfp \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 cho theo l\u0169y th\u1eeba t\u0103ng (gi\u1ea3m) c\u1ee7a bi\u1ebfn. <br\/> T\u00ecm b\u1eadc c\u1ee7a \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn. <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/> $-\\dfrac{3}{4}x^2+x^3+7-x=x^3-\\dfrac{3}{4}x^2-x+7$ <br\/> \u0110a th\u1ee9c tr\u00ean c\u00f3 s\u1ed1 m\u0169 l\u1edbn nh\u1ea5t c\u1ee7a bi\u1ebfn l\u00e0 $3$ <br\/> Do \u0111\u00f3, b\u1eadc c\u1ee7a \u0111a th\u1ee9c tr\u00ean l\u00e0 $3$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $3$.<\/span><\/span>"}]}],"id_ques":1207},{"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'> \u0110a th\u1ee9c $5-2x^3+\\dfrac{1}{4}x^2$ c\u00f3 h\u1ec7 s\u1ed1 cao nh\u1ea5t l\u00e0: <\/span>","select":["A. $5$","B. $3$","C. $\\dfrac{1}{4}$","D. $-2$"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>S\u1eafp x\u1ebfp \u0111a th\u1ee9c m\u1ed9t bi\u1ebfn \u0111\u00e3 cho theo l\u0169y th\u1eeba t\u0103ng (gi\u1ea3m) c\u1ee7a bi\u1ebfn. <br\/> H\u1ec7 s\u1ed1 \u0111i v\u1edbi l\u0169y th\u1eeba cao nh\u1ea5t c\u1ee7a bi\u1ebfn trong \u0111a th\u1ee9c g\u1ecdi l\u00e0 <i> h\u1ec7 s\u1ed1 cao nh\u1ea5t<\/i> <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/> $5-2x^3+\\dfrac{1}{4}x^2=-2x^3+\\dfrac{1}{4}x^2+5$ <br\/> L\u0169y th\u1eeba cao nh\u1ea5t c\u1ee7a \u0111a th\u1ee9c l\u00e0 $3$ <br\/> H\u1ec7 s\u1ed1 c\u1ee7a l\u0169y th\u1eeba b\u1eadc $3$ l\u00e0 $-2$ n\u00ean $-2$ l\u00e0 h\u1ec7 s\u1ed1 cao nh\u1ea5t. <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 D.<\/span><\/span>","column":4}]}],"id_ques":1208},{"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"],["5"],["17"],["11"]]],"list":[{"point":5,"width":30,"content":"","type_input":"","ques":" <span class='basic_left'>Thu g\u1ecdn \u0111a th\u1ee9c sau: <br\/> $P=7{{x}^{5}}-2-8x+2{{x}^{4}}-9-9x-7{{x}^{4}}-5{{x}^{5}}$ <br\/> <br\/> <b> \u0110\u00e1p \u00e1n:<\/b> $P=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}{{x}^{5}}-\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}{{x}^{4}}-\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}x-\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$<\/span> ","explain":"<span class='basic_left'>Ta c\u00f3: <br\/> $\\begin{align} & P=7{{x}^{5}}-2-8x+2{{x}^{4}}-9-9x-7{{x}^{4}}-5{{x}^{5}} \\\\ & \\,\\,\\,\\,\\,=\\left( 7{{x}^{5}}-5{{x}^{5}} \\right)+\\left( 2{{x}^{4}}-7{{x}^{4}} \\right)+\\left( -8x-9x \\right)+\\left( -2-9 \\right) \\\\ & \\,\\,\\,\\,\\,=2{{x}^{5}}-5{{x}^{4}}-17x-11 \\\\ \\end{align}$ <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 $2;5;17;11$.<\/span><\/span>"}]}],"id_ques":1209},{"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":[[["3"]]],"list":[{"point":5,"width":40,"content":"","type_input":"","ques":" Cho \u0111a th\u1ee9c sau: <br\/> $A=2-9{{x}^{2}}+4{{x}^{5}}-3{{x}^{3}}+x-4{{x}^{5}}$ <br\/> B\u1eadc c\u1ee7a \u0111a th\u1ee9c $A$ l\u00e0 _input_ ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Thu g\u1ecdn \u0111a th\u1ee9c $A$ r\u1ed3i t\u00ecm b\u1eadc c\u1ee7a n\u00f3. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/> $\\begin{align} & A=2-9{{x}^{2}}+4{{x}^{5}}-3{{x}^{3}}+x-4{{x}^{5}} \\\\ & \\,\\,\\,\\,\\,\\,=\\left( 4{{x}^{5}}-4{{x}^{5}} \\right)-3{{x}^{3}}-9{{x}^{2}}+x+2 \\\\ & \\,\\,\\,\\,\\,=-3{{x}^{3}}-9{{x}^{2}}+x+2 \\\\ \\end{align}$ <br\/> B\u1eadc c\u1ee7a \u0111a th\u1ee9c $A$ l\u00e0 $3$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $3$.<\/span><\/span>"}]}],"id_ques":1210},{"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":[[["-102"]]],"list":[{"point":5,"width":40,"content":"","type_input":"","ques":" Gi\u00e1 tr\u1ecb c\u1ee7a \u0111a th\u1ee9c $B=3{{x}^{3}}-{{x}^{2}}+5x+3$ t\u1ea1i $x=-3$ l\u00e0 _input_ ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Thay gi\u00e1 tr\u1ecb c\u1ee7a $x$ v\u00e0o \u0111a th\u1ee9c $B$ r\u1ed3i t\u00ednh. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Thay $x=-3$ v\u00e0o \u0111a th\u1ee9c $B$ ta \u0111\u01b0\u1ee3c: <br\/> $B=3.(-3)^3-(-3)^2+5.(-3)+3$ <br\/> $=-81-9-15+3$ <br\/> $=-102$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $-102$.<\/span><\/span>"}]}],"id_ques":1211},{"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":[[["4"],["3"]]],"list":[{"point":5,"width":40,"content":"","type_input":"","ques":" Cho \u0111a th\u1ee9c: $C=5x^4-3x^2+9x^3-2x^4+4+5x$ <br\/> H\u1ec7 s\u1ed1 t\u1ef1 do c\u1ee7a \u0111a th\u1ee9c $C$ l\u00e0 _input_ <br\/> H\u1ec7 s\u1ed1 cao nh\u1ea5t c\u1ee7a \u0111a th\u1ee9c $C$ l\u00e0 _input_ ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Thu g\u1ecdn \u0111a th\u1ee9c $C$ r\u1ed3i t\u00ecm h\u1ec7 s\u1ed1 t\u1ef1 do v\u00e0 h\u1ec7 s\u1ed1 cao nh\u1ea5t c\u1ee7a n\u00f3.<br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/> $C=5x^4-3x^2+9x^3-2x^4+4+5x$ <br\/> $=(5x^4-2x^4)+9x^3-3x^2+5x+4$ <br\/> $=3x^4+9x^3-3x^2+5x+4$ <br\/> H\u1ec7 s\u1ed1 t\u1ef1 do c\u1ee7a $C$ l\u00e0 $4$ <br\/> L\u0169y th\u1eeba cao nh\u1ea5t c\u1ee7a bi\u1ebfn l\u00e0 $4$ n\u00ean h\u1ec7 s\u1ed1 $3$ c\u1ee7a l\u0169y th\u1eeba cao nh\u1ea5t l\u00e0 h\u1ec7 s\u1ed1 cao nh\u1ea5t. <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 $4;3$.<\/span><\/span>"}]}],"id_ques":1212},{"time":24,"part":[{"title":"N\u1ed1i b\u1eadc c\u1ee7a \u0111a th\u1ee9c \u1edf c\u1ed9t ph\u1ea3i t\u01b0\u01a1ng \u1ee9ng v\u1edbi \u0111a th\u1ee9c \u0111\u00e3 cho \u1edf c\u1ed9t tr\u00e1i","title_trans":"","audio":"","temp":"matching","correct":[["2","4","1","3"]],"list":[{"point":5,"image":"","left":["$-x^3+2x^2+13+x^3$","$4+x+x^5$","$5x^3-25-5x^3$","$x^4-4x-x-1$"],"right":["$0$","$2$ ","$4$","$5$"],"top":100,"hint":"","explain":" <span class='basic_left'> Ta c\u00f3: <br\/> - \u0110a th\u1ee9c $-x^3+2x^2+13+x^3=(-x^3+x^3)+2x^2+13=2x^2+13$ c\u00f3 b\u1eadc l\u00e0 $2$ <br\/> - \u0110a th\u1ee9c $4+x+x^5$ c\u00f3 b\u1eadc l\u00e0 $5$ <br\/> - \u0110a th\u1ee9c $5x^3-25-5x^3=(5x^3-5x^3)-25=-25$ c\u00f3 b\u1eadc l\u00e0 $0$ <br\/> - \u0110a th\u1ee9c $x^4-4x-x-1$ c\u00f3 b\u1eadc l\u00e0 $4$ <\/span> "}]}],"id_ques":1213},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"K\u1ebft qu\u1ea3 thu g\u1ecdn c\u00e1c \u0111a th\u1ee9c \u0111\u00fang hay sai","temp":"true_false","correct":[["t","f","t"]],"list":[{"point":5,"image":"","col_name":["Kh\u1eb3ng \u0111\u1ecbnh","\u0110\u00fang","Sai"],"arr_ques":[" $-6{{x}^{5}}+6x-3{{x}^{4}}+5-4-2x+{{x}^{5}}=-5{{x}^{5}}-3{{x}^{4}}+4x+1$ ","$-{{x}^{2}}+6{{x}^{4}}-2{{x}^{2}}-5{{x}^{4}}=11{{x}^{4}}-3{{x}^{2}}$","$6{{x}^{3}}-8+x+5{{x}^{5}}+5{{x}^{4}}+3-4{{x}^{2}}=5{{x}^{5}}+5{{x}^{4}}+6{{x}^{3}}-4{{x}^{2}}+x-5$"],"hint":"","explain":[" <span class='basic_left'>\u0110\u00fang, v\u00ec $-6{{x}^{5}}+6x-3{{x}^{4}}+5-4-2x+{{x}^{5}}$ <br\/>$=(-6x^5+x^5)-3x^4+(6x-2x)+(5-4)$ <br\/>$=-5{{x}^{5}}-3{{x}^{4}}+4x+1$<\/span>"," <br\/> <span class='basic_left'>Sai, v\u00ec <br\/>$\\begin{align} & -{{x}^{2}}+6{{x}^{4}}-2{{x}^{2}}-5{{x}^{4}} \\\\ & =(6{{x}^{4}}-5{{x}^{4}})+\\left( -{{x}^{2}}-2{{x}^{2}} \\right) \\\\ & ={{x}^{4}}-3{{x}^{2}} \\\\ \\end{align}$<\/span> ","<br\/> <span class='basic_left'>\u0110\u00fang, v\u00ec <br\/> $\\begin{align} & 6{{x}^{3}}-8+x+5{{x}^{5}}+5{{x}^{4}}+3-4{{x}^{2}} \\\\ & =5{{x}^{5}}+5{{x}^{4}}+6{{x}^{3}}-4{{x}^{2}}+x+\\left( -8+3 \\right) \\\\ & =5{{x}^{5}}+5{{x}^{4}}+6{{x}^{3}}-4{{x}^{2}}+x-5 \\\\ \\end{align}$<\/span>"]}]}],"id_ques":1214},{"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'> Cho hai \u0111a th\u1ee9c: <br\/> $ f(x)=4{{x}^{5}}+9{{x}^{2}}+3-4x$ <br\/> $g(x)=8+4{{x}^{5}}+8{{x}^{2}} $ <br\/> T\u1ed5ng $f(x)+g(x)$ l\u00e0: <\/span>","select":["A. $17{{x}^{2}}-4x+11$","B. $8{{x}^{5}}+{{x}^{2}}-4x+11$","C. $8{{x}^{5}}+17{{x}^{2}}-4x+11$","D. ${{x}^{2}}-4x+11$"],"explain":"<span class='basic_left'>Ta c\u00f3: <br\/>$\\begin{align}& f\\left( x \\right)+g\\left( x \\right)=\\left( 4{{x}^{5}}+9{{x}^{2}}+3-4x \\right)+\\left( 8+4{{x}^{5}}+8{{x}^{2}} \\right) \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=4{{x}^{5}}+9{{x}^{2}}+3-4x+8+4{{x}^{5}}+8{{x}^{2}} \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=\\left( 4{{x}^{5}}+4{{x}^{5}} \\right)+\\left( 9{{x}^{2}}+8{{x}^{2}} \\right)-4x+\\left( 8+3 \\right) \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=8{{x}^{5}}+17{{x}^{2}}-4x+11 \\\\ \\end{align}$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 C.<\/span><\/span>","column":2}]}],"id_ques":1215},{"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'> Cho hai \u0111a th\u1ee9c: <br\/> $M=2{{x}^{3}}+8{{x}^{4}}-7{{x}^{4}} $ <br\/> $N=-3{{x}^{3}}-{{x}^{4}}-2{{x}^{4}} $ <br\/> Hi\u1ec7u $M-N$ l\u00e0: <\/span>","select":["A. $4{{x}^{4}}+5{{x}^{3}}$","B. $18{{x}^{4}}-{{x}^{3}}$","C. $3{{x}^{4}}+5{{x}^{3}}$","D. $3{{x}^{4}}-{{x}^{3}}$"],"explain":"<span class='basic_left'>Ta c\u00f3: <br\/>$\\begin{align}& M-N=\\left( 2{{x}^{3}}+8{{x}^{4}}-7{{x}^{4}} \\right)-\\left( -3{{x}^{3}}-{{x}^{4}}-2{{x}^{4}} \\right) \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=2{{x}^{3}}+8{{x}^{4}}-7{{x}^{4}}+3{{x}^{3}}+{{x}^{4}}+2{{x}^{4}} \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=\\left( 8{{x}^{4}}-7{{x}^{4}}+{{x}^{4}}+2{{x}^{4}} \\right)+\\left( 2{{x}^{3}}+3{{x}^{3}} \\right) \\\\ & \\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,=4{{x}^{4}}+5{{x}^{3}} \\\\ \\end{align}$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A.<\/span><\/span>","column":2}]}],"id_ques":1216},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y \u0110\u00fang hay Sai","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" N\u1ebfu t\u1ea1i $x=a,$ \u0111a th\u1ee9c $f(x)$ c\u00f3 gi\u00e1 tr\u1ecb b\u1eb1ng $0$ th\u00ec ta n\u00f3i $a$ l\u00e0 m\u1ed9t nghi\u1ec7m c\u1ee7a $f(x)$ ","select":["\u0110\u00fang","Sai"],"explain":"<span class='basic_left'> Kh\u1eb3ng \u0111\u1ecbnh tr\u00ean l\u00e0 \u0111\u00fang. <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 \u0110\u00fang.<\/span> <\/span>","column":2}]}],"id_ques":1217},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":" <span class='basic_left'> T\u00ecm \u0111a th\u1ee9c $M$ bi\u1ebft: <br\/> $M-(3{{x}^{4}}+5{{x}^{4}}-6{{x}^{2}})=5{{x}^{4}}+3{{x}^{4}}+4{{x}^{2}}$ <br\/> \u0110a th\u1ee9c $M$ l\u00e0: <\/span>","select":["A. $-2x^2$","B. $16{{x}^{4}}-2{{x}^{2}}$","C. $10x^2$","D. $8x^4-2x^2$"],"hint":"\u0110a th\u1ee9c b\u1ecb tr\u1eeb b\u1eb1ng \u0111a th\u1ee9c hi\u1ec7u c\u1ed9ng v\u1edbi \u0111a th\u1ee9c tr\u1eeb","explain":"<span class='basic_left'>Ta c\u00f3: <br\/>$\\begin{align} & M-(3{{x}^{4}}+5{{x}^{4}}-6{{x}^{2}})=5{{x}^{4}}+3{{x}^{4}}+4{{x}^{2}} \\\\ & \\Rightarrow M=\\left( 5{{x}^{4}}+3{{x}^{4}}+4{{x}^{2}} \\right)+(3{{x}^{4}}+5{{x}^{4}}-6{{x}^{2}}) \\\\ & \\,\\,\\,\\,\\,\\,\\,=5{{x}^{4}}+3{{x}^{4}}+4{{x}^{2}}+3{{x}^{4}}+5{{x}^{4}}-6{{x}^{2}} \\\\ & \\,\\,\\,\\,\\,\\,\\,=\\left( 5{{x}^{4}}+3{{x}^{4}}+3{{x}^{4}}+5{{x}^{4}} \\right)+\\left( 4{{x}^{2}}-6{{x}^{2}} \\right) \\\\ & \\,\\,\\,\\,\\,\\,\\,=16{{x}^{4}}-2{{x}^{2}} \\\\ \\end{align}$ <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 B.<\/span><\/span>","column":2}]}],"id_ques":1218},{"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"],["3"]]],"list":[{"point":5,"width":40,"content":"","type_input":"","input_hint":["frac"],"ques":" Nghi\u1ec7m c\u1ee7a \u0111a th\u1ee9c $g(x)=3x-1$ l\u00e0 <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>\u0110\u1ec3 t\u00ecm nghi\u1ec7m c\u1ee7a \u0111a th\u1ee9c $g(x)$, ta t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a $x$ sao cho $g(x)=0$<br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/> $g(x)=0$ <br\/> $3x-1=0$ <br\/> $ 3x=1$ <br\/> $x=\\dfrac{1}{3}$<\/span>"}]}],"id_ques":1219},{"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":[[["-2"],["3"]]],"list":[{"point":5,"width":40,"content":"","type_input":"","ques":" C\u00e1c nghi\u1ec7m c\u1ee7a \u0111a th\u1ee9c $f(x)=(x-3)(x+2)$ l\u00e0 _input_ v\u00e0 _input_ ","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>\u0110\u1ec3 t\u00ecm nghi\u1ec7m c\u1ee7a \u0111a th\u1ee9c $f(x)$, ta t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a $x$ sao cho $f(x)=0$<br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/> $\\begin{aligned} & f\\left( x \\right)=0 \\\\ & \\left( x-3 \\right)\\left( x+2 \\right)=0 \\\\ & \\Rightarrow \\left[ \\begin{aligned} & x-3=0 \\\\ & x+2=0 \\\\ \\end{aligned} \\right.\\Rightarrow \\left[ \\begin{aligned} & x=3 \\\\ & x=-2 \\\\ \\end{aligned} \\right. \\\\ \\end{aligned}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $3;-2$.<\/span><\/span>"}]}],"id_ques":1220}],"lesson":{"save":0,"level":1}}