{"segment":[{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"],["5"]]],"list":[{"point":5,"width":20,"content":"T\u00ednh.","type_input":"","ques":"$\\sqrt{\\dfrac{1}{25}}=\\dfrac{\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}}{\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}}$","hint":"V\u1edbi $a\\geq 0$ th\u00ec $\\sqrt{a^2}=a$","explain":"Ta c\u00f3:$\\sqrt{\\dfrac{1}{25}}=\\sqrt{{{\\left( \\dfrac{1}{5} \\right)}^{2}}}=\\dfrac{1}{5}$ <br\/><span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $\\dfrac{1}{5}$<\/span>"}]}],"id_ques":411},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"Gi\u00e1 tr\u1ecb c\u1ee7a $x$ \u0111\u1ec3 $\\sqrt{x}=12$ l\u00e0: ","select":["A. $x= -144$","B. $x=144$","C. $x=\\sqrt{12}$","D. $x=-\\sqrt{12}$"],"hint":"$\\sqrt{x}=a\\,\\left( a\\ge 0 \\right)\\Leftrightarrow x={{a}^{2}}$","explain":"Ta c\u00f3:<br\/> $\\begin{align*}&\\sqrt{x}=12\\\\ \\Leftrightarrow &x=12^2\\\\ \\Leftrightarrow &x=144\\end{align*}$ <br\/><span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 B <\/span>","column":2}]}],"id_ques":412},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["0,8","-0,8"],["-0,8","0,8"]]],"list":[{"point":5,"width":60,"content":"","type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop9/toan/daiso/bai1/lv1/img\/2.jpg' \/><\/center>S\u1ed1 $0,64$ c\u00f3 hai c\u0103n b\u1eadc hai l\u1ea7n l\u01b0\u1ee3t l\u00e0 _input_ ; _input_ <br\/>(vi\u1ebft k\u1ebft qu\u1ea3 d\u01b0\u1edbi d\u1ea1ng s\u1ed1 th\u1eadp ph\u00e2n)","hint":"S\u1ed1 d\u01b0\u01a1ng $a$ c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc hai l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau. S\u1ed1 d\u01b0\u01a1ng k\u00ed hi\u1ec7u l\u00e0 $\\sqrt{a}$ v\u00e0 s\u1ed1 \u00e2m k\u00ed hi\u1ec7u l\u00e0 -$\\sqrt{a}$","explain":"S\u1ed1 $0,64$ c\u00f3 c\u0103n b\u1eadc hai l\u1ea7n l\u01b0\u1ee3t l\u00e0:<br\/> $\\sqrt{0,64} = 0,8$ v\u00e0 $-\\sqrt{0,64} = -0,8$<br\/><span class='basic_pink'>V\u1eady c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $0,8;-0,8.$ <\/span>"}]}],"id_ques":413},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00fang hay sai","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop9/toan/daiso/bai1/lv1/img\/1.png' \/><\/center>N\u1ebfu $a \\in \\mathbb{N}$ th\u00ec lu\u00f4n c\u00f3 $x\\in \\mathbb{N}$ sao cho $\\sqrt{x}=a$ ","select":["A. \u0110\u00fang","B. Sai"],"hint":"","explain":"V\u00ec $a \\in N$ n\u00ean $a^2 \\in N$<br\/>M\u00e0 $\\sqrt{x}=a \\Rightarrow x = a^2 \\in N$<br\/> <span class='basic_pink'>Kh\u1eb3ng \u0111\u1ecbnh tr\u00ean l\u00e0 \u0110\u00fang <\/span>","column":2}]}],"id_ques":414},{"time":24,"part":[{"title":"Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00fang hay sai","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop9/toan/daiso/bai1/lv1/img\/1.png' \/><\/center>N\u1ebfu $a \\in \\mathbb{Q}$ th\u00ec ph\u01b0\u01a1ng tr\u00ecnh ${{x}^{2}}=a$ lu\u00f4n c\u00f3 nghi\u1ec7m trong $\\mathbb{Q}$","select":["A. \u0110\u00fang","B. Sai"],"hint":"","explain":"V\u00ec $x^2\\ge 0\\, \\forall x$. M\u00e0 $a \\in \\mathbb{Q}$ n\u00ean $a$ c\u00f3 th\u1ec3 nh\u1ecf h\u01a1n $0$. <br\/><span class='basic_pink'>Do \u0111\u00f3 kh\u1eb3ng \u0111\u1ecbnh tr\u00ean l\u00e0 Sai.<\/span>","column":2}]}],"id_ques":415},{"time":24,"part":[{"time":3,"title":"H\u00e3y n\u1ed1i m\u1ed7i \u00f4 \u1edf c\u1ed9t tr\u00e1i v\u1edbi \u00f4 c\u1ed9t ph\u1ea3i \u0111\u1ec3 \u0111\u01b0\u1ee3c hai s\u1ed1 b\u1eb1ng nhau","title_trans":"","audio":"","temp":"matching","correct":[["3","1","2"]],"list":[{"point":5,"image":"","left":["$\\sqrt{9}$","$\\sqrt{0,25}$","$\\sqrt{0,01}$"],"right":["$0,5$","$0,1$","$3$"],"top":100,"hint":"V\u1edbi $a\\geq 0$ th\u00ec $\\sqrt{a^2}=a$","explain":"Ta c\u00f3: $\\,\\,\\sqrt{9}=\\sqrt{3^2}=3;$<br\/>$\\,\\sqrt{0,25}=\\sqrt{0,5^2}=0,5;$<br\/>$\\,\\sqrt{0,01}=\\sqrt{0,1^2}=0,1$"}]}],"id_ques":416},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["4"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"T\u00ecm gi\u00e1 tr\u1ecb nguy\u00ean l\u1edbn nh\u1ea5t c\u1ee7a $x$, bi\u1ebft:$\\sqrt{x}<\\sqrt{5}$<br\/>\u0110\u00e1p s\u1ed1: $x = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$","hint":"V\u1edbi hai s\u1ed1 $a$ v\u00e0 $b$ kh\u00f4ng \u00e2m ta c\u00f3: $a < b\\, \\Leftrightarrow \\sqrt{a}<\\sqrt{b}$","explain":"Ta c\u00f3: <br\/>$\\sqrt{x}<\\sqrt{5}\\Leftrightarrow 0\\le x<5\\,\\,$$\\Leftrightarrow x \\in \\left\\{ 0;1;2;3;4 \\right\\}$<br\/>V\u1eady gi\u00e1 tr\u1ecb nguy\u00ean l\u1edbn nh\u1ea5t c\u1ee7a $x$ khi $\\sqrt{x}<\\sqrt{5}$ l\u00e0 $4$<br\/><span class='basic_pink'>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $4.$<\/span>"}]}],"id_ques":417},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["256"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"T\u00ecm s\u1ed1 $x$ kh\u00f4ng \u00e2m, bi\u1ebft:$\\sqrt{x} = 16$<br\/>\u0110\u00e1p s\u1ed1: $x = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$","hint":"","explain":"Ta c\u00f3:<br\/>$\\begin{align*}&\\sqrt{x}=16\\\\ \\Leftrightarrow &x={{16}^{2}}\\\\ \\Leftrightarrow &x=256\\end{align*}$<br\/><span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 $256$<\/span>"}]}],"id_ques":418},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["81"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"T\u00ecm s\u1ed1 $x$ kh\u00f4ng \u00e2m, bi\u1ebft: $\\sqrt{x} = 9$<br\/>\u0110\u00e1p s\u1ed1: $x = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$","hint":"","explain":"Ta c\u00f3: <br\/>$\\begin{align*}&\\sqrt{x}=9\\\\ \\Leftrightarrow &x={{9}^{2}}\\\\ \\Leftrightarrow &x=81\\end{align*}$<br\/><span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $81$<\/span>"}]}],"id_ques":419},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["16"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"T\u00ecm s\u1ed1 $x$ kh\u00f4ng \u00e2m, bi\u1ebft:$\\sqrt{x} = 4$<br\/>\u0110\u00e1p s\u1ed1: $x = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$","hint":"","explain":"Ta c\u00f3:<br\/>$\\begin{align*}&\\sqrt{x}=4\\\\ \\Leftrightarrow &x={{4}^{2}}\\\\ \\Leftrightarrow &x=16\\end{align*}$<br\/><span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $16$<\/span>"}]}],"id_ques":420},{"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":"So s\u00e1nh $\\sqrt{25}$ v\u00e0 $4$","select":["A. $>$","B. $<$","C. $=$"],"hint":"T\u00ednh $\\sqrt{25}$ r\u1ed3i so s\u00e1nh.","explain":" Ta c\u00f3: $\\sqrt{25} = 5$<br\/>M\u00e0 $5 > 4$<br\/>N\u00ean $\\sqrt{25} > 4$ <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A<\/span>","column":3}]}],"id_ques":421},{"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":"So s\u00e1nh $\\sqrt{9}$ v\u00e0 $3$","select":["A. $>$","B. $<$","C. $=$"],"hint":"","explain":" Ta c\u00f3: $\\sqrt{9}=\\sqrt{3^2}=3$.<br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n l\u00e0 C<\/span>","column":3}]}],"id_ques":422},{"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":"So s\u00e1nh $\\sqrt{5}$ v\u00e0 $3$","select":["A. $>$","B. $<$","C. $=$"],"hint":"V\u1edbi hai s\u1ed1 $a$ v\u00e0 $b$ kh\u00f4ng \u00e2m ta c\u00f3: $a < b$ $\\Leftrightarrow \\sqrt{a}<\\sqrt{b}.$","explain":"Ta c\u00f3: $3 = \\sqrt{3^2} = \\sqrt{9}$<br\/> V\u00ec $5<9$ n\u00ean $\\sqrt{5}<\\sqrt{9}$<br\/> $\\Rightarrow$ $\\sqrt{5}$ < $3$<br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B <\/span> ","column":3}]}],"id_ques":423},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"C\u0103n b\u1eadc hai s\u1ed1 h\u1ecdc c\u1ee7a $144$ l\u00e0:","select":["A. $12$","B. $-12$","C. $12$ v\u00e0 $-12$","D. $72$"],"hint":"V\u1edbi s\u1ed1 d\u01b0\u01a1ng $a$, s\u1ed1 $\\sqrt{a}$ \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 c\u0103n b\u1eadc hai s\u1ed1 h\u1ecdc c\u1ee7a $a$","explain":"C\u0103n b\u1eadc hai s\u1ed1 h\u1ecdc c\u1ee7a $144$ l\u00e0:<br\/> $\\sqrt{144} = 12$<br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 A <\/span>","column":2}]}],"id_ques":424},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"C\u0103n b\u1eadc hai s\u1ed1 h\u1ecdc c\u1ee7a $81$ l\u00e0:","select":["A. $-9$","B. $9$","C. $9$ v\u00e0 $-9$","D. $27$"],"hint":"V\u1edbi s\u1ed1 d\u01b0\u01a1ng $a$, s\u1ed1 $\\sqrt{a}$ \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 c\u0103n b\u1eadc hai s\u1ed1 h\u1ecdc c\u1ee7a $a$","explain":"C\u0103n b\u1eadc hai s\u1ed1 h\u1ecdc c\u1ee7a $81$ l\u00e0:<br\/>$\\sqrt{81} = 9$<br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B <\/span>","column":2}]}],"id_ques":425},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"C\u0103n b\u1eadc hai c\u1ee7a $25$ l\u00e0:","select":["A. $5$","B. $-5$","C. $5$ v\u00e0 $-5$","D. $625$"],"hint":"S\u1ed1 d\u01b0\u01a1ng $a$ c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc hai l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau. S\u1ed1 d\u01b0\u01a1ng k\u00ed hi\u1ec7u l\u00e0 $\\sqrt{a}$ v\u00e0 s\u1ed1 \u00e2m k\u00ed hi\u1ec7u l\u00e0 $-\\sqrt{a}$","explain":"C\u0103n b\u1eadc hai c\u1ee7a $25$ l\u00e0 $\\sqrt{25}=5$ v\u00e0 $-\\sqrt{25}=-5$<br\/><span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n l\u00e0 C<\/span>","column":2}]}],"id_ques":426},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"C\u0103n b\u1eadc hai c\u1ee7a $30$ l\u00e0:","select":["A. $\\sqrt{30}$","B. $-\\sqrt{30}$","C. $\\sqrt{30}$ v\u00e0 $-\\sqrt{30}$","D. C\u1ea3 ba \u0111\u00e1p \u00e1n tr\u00ean \u0111\u1ec1u sai"],"hint":"S\u1ed1 d\u01b0\u01a1ng $a$ c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc hai l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau. S\u1ed1 d\u01b0\u01a1ng k\u00ed hi\u1ec7u l\u00e0 $\\sqrt{a}$ v\u00e0 s\u1ed1 \u00e2m k\u00ed hi\u1ec7u l\u00e0 $-\\sqrt{a}.$","explain":"Ta c\u00f3 $30>0$ n\u00ean $30$ c\u00f3 hai c\u0103n b\u1eadc hai l\u00e0: $\\sqrt{30}$ v\u00e0 $-\\sqrt{30}$<br\/><span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 C<\/span>","column":2}]}],"id_ques":427},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"],["3"]]],"list":[{"point":5,"width":20,"content":"T\u00ednh.","type_input":"","ques":"$\\sqrt{\\dfrac{1}{9}}=\\dfrac{\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}}{\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}}$","hint":"V\u1edbi $a\\geq 0$ th\u00ec $\\sqrt{a^2}=a$","explain":"Ta c\u00f3: $\\sqrt{\\dfrac{1}{9}}=\\sqrt{{{\\left( \\dfrac{1}{3} \\right)}^{2}}}=\\dfrac{1}{3}$ <br\/><span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $\\dfrac{1}{3}$<\/span>"}]}],"id_ques":428},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["64"]]],"list":[{"point":5,"width":20,"content":"","type_input":"","ques":"$\\sqrt{\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}}=8$","hint":"V\u1edbi $a\\geq 0$ th\u00ec $\\sqrt{a^2}=a$","explain":"Ta c\u00f3 $8=\\sqrt{8^2}=\\sqrt{64}$<br\/><span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $64$<\/span>"}]}],"id_ques":429},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["49"]]],"list":[{"point":5,"width":20,"content":"","type_input":"","ques":"$\\sqrt{\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}}=7$","hint":"V\u1edbi $a\\geq 0$ th\u00ec $\\sqrt{a^2}=a$","explain":"Ta c\u00f3 $7=\\sqrt{7^2}=\\sqrt{49}$<br\/><span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $49$<\/span>"}]}],"id_ques":430}],"lesson":{"save":0,"level":1}}