{"segment":[{"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":" S\u1ef1 li\u00ean h\u1ec7 gi\u1eefa \u0111\u1ea1i l\u01b0\u1ee3ng $y$ v\u00e0 \u0111\u1ea1i l\u01b0\u1ee3ng $x$ \u0111\u01b0\u1ee3c bi\u1ec3u th\u1ecb b\u1eb1ng c\u00f4ng th\u1ee9c b\u00ean d\u01b0\u1edbi. <br\/> Tr\u01b0\u1eddng h\u1ee3p n\u00e0o $y$ kh\u00f4ng ph\u1ea3i l\u00e0 h\u00e0m s\u1ed1 c\u1ee7a $x$? ","select":["A. $y = f(x) = 3x - 1 $","B. $y = f(x) = 10 $","C. $y = |x| $","D. $|y| = x $"],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> C\u1ea7n ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n: <\/b> <br\/> M\u1ed7i gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $x$ \u0111\u01b0\u1ee3c t\u01b0\u01a1ng \u1ee9ng v\u1edbi m\u1ed9t v\u00e0 ch\u1ec9 m\u1ed9t gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $y$ hay kh\u00f4ng? <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Tr\u01b0\u1eddng h\u1ee3p $|y| = x$ kh\u00f4ng ph\u1ea3i l\u00e0 m\u1ed1i quan h\u1ec7 h\u00e0m s\u1ed1 gi\u1eefa $y$ v\u00e0 $x$, <br\/> b\u1edfi v\u00ec \u1ee9ng v\u1edbi m\u1ed7i gi\u00e1 tr\u1ecb c\u1ee7a $x > 0,$ c\u00f3 hai gi\u00e1 tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a $y$. <br\/> V\u00ed d\u1ee5, v\u1edbi $x = 5$ th\u00ec $y = \\pm 5,$ th\u1eadt v\u1eady $|\\pm 5| = 5 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 D. <\/span><\/span> ","column":2}]}],"id_ques":681},{"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":" T\u00ecm t\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a h\u00e0m s\u1ed1: $y = f(x) = \\dfrac{x+1}{x(x+2)}$ ","select":["A. TX\u0110 $= R $","B. TX\u0110 $= \\{ x \\in \\mathbb{R} | x \\neq 0 \\} $","C. TX\u0110 $= \\{ x \\in \\mathbb{R} | x \\neq 0; x \\neq -2 \\} $","D. TX\u0110 $= \\{ x \\in \\mathbb{R} | x \\neq -1 \\} $"],"hint":"X\u00e1c \u0111\u1ecbnh khi m\u1eabu s\u1ed1 kh\u00e1c 0.","explain":" $y = f(x) = \\dfrac{x+1}{x(x+2)}$ c\u00f3 ngh\u0129a <br\/> $ \\Leftrightarrow x(x+2) \\neq 0 \\Leftrightarrow x \\neq 0$ v\u00e0 $x \\neq -2$ <br\/> Hay: TX\u0110 = $ \\{\\forall x \\in \\mathbb{R} | x \\neq 0; x \\neq -2 \\} $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":2}]}],"id_ques":682},{"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":"C\u00e1c gi\u00e1 tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a hai \u0111\u1ea1i l\u01b0\u1ee3ng $x$ v\u00e0 $y$ \u0111\u01b0\u1ee3c cho trong b\u1ea3ng sau: <table><td>$x$<\/td><td>$-5$<\/td><td>$-2$<\/td><td>0<\/td><td>3<\/td><td>4<\/td><\/tr><tr><td>$y$<\/td><td>$-7$<\/td><td>$-1$<\/td><td>||<\/td><td>6<\/td><td>9<\/td><\/tr><\/table> \u0110\u1ea1i l\u01b0\u1ee3ng $y$ c\u00f3 ph\u1ea3i l\u00e0 h\u00e0m s\u1ed1 c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $x$ kh\u00f4ng? ","select":["C\u00f3 ","Kh\u00f4ng"],"hint":"Xem \u0111\u1ecbnh ngh\u0129a h\u00e0m s\u1ed1. ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> C\u1ea7n ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n: <\/b> <br\/> M\u1ed7i gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $x$ \u0111\u01b0\u1ee3c t\u01b0\u01a1ng \u1ee9ng v\u1edbi m\u1ed9t v\u00e0 ch\u1ec9 m\u1ed9t gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $y$ hay kh\u00f4ng? <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Trong b\u1ea3ng ta th\u1ea5y gi\u00e1 tr\u1ecb $x = 0$ c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $x$ kh\u00f4ng \u0111\u01b0\u1ee3c t\u01b0\u01a1ng \u1ee9ng v\u1edbi gi\u00e1 tr\u1ecb n\u00e0o c\u1ee7a $y$ n\u00ean $y$ kh\u00f4ng ph\u1ea3i l\u00e0 h\u00e0m s\u1ed1 c\u1ee7a $x$. <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n l\u00e0 Kh\u00f4ng. <\/span><\/span> ","column":2}]}],"id_ques":683},{"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":" C\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a hai \u0111\u1ea1i l\u01b0\u1ee3ng $x$ v\u00e0 $y$ \u0111\u01b0\u1ee3c cho b\u1edfi s\u01a1 \u0111\u1ed3 m\u0169i t\u00ean nh\u01b0 h\u00ecnh d\u01b0\u1edbi \u0111\u00e2y: <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai15/lv2/img\/D7C23-01.png' \/><\/center> \u0110\u1ea1i l\u01b0\u1ee3ng $y$ c\u00f3 ph\u1ea3i l\u00e0 h\u00e0m s\u1ed1 c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $x$ kh\u00f4ng? ","select":["A. C\u00f3 ","B. Kh\u00f4ng"],"explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> C\u1ea7n ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n: <\/b> <br\/> M\u1ed7i gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $x$ \u0111\u01b0\u1ee3c t\u01b0\u01a1ng \u1ee9ng v\u1edbi m\u1ed9t v\u00e0 ch\u1ec9 m\u1ed9t gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $y$ hay kh\u00f4ng? <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> <span class='basic_left'> $y$ kh\u00f4ng ph\u1ea3i l\u00e0 h\u00e0m s\u1ed1 c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $x$ v\u00ec c\u00f3 m\u1ed9t gi\u00e1 tr\u1ecb $x = 3$ c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $x$ \u0111\u01b0\u1ee3c t\u01b0\u01a1ng \u1ee9ng v\u1edbi hai gi\u00e1 tr\u1ecb kh\u00e1c nhau c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng $y$ l\u00e0 6 v\u00e0 8 ho\u1eb7c gi\u00e1 tr\u1ecb $x = 5$ kh\u00f4ng \u0111\u01b0\u1ee3c t\u01b0\u01a1ng \u1ee9ng v\u1edbi gi\u00e1 tr\u1ecb n\u00e0o c\u1ee7a $y$. <\/span> <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 Kh\u00f4ng. <\/span><\/span> ","column":2}]}],"id_ques":684},{"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":" Cho h\u00e0m s\u1ed1 $y = f(x) = 4x + b $ <br\/> Bi\u1ebft $ f\\left( \\dfrac{1}{2}\\right) = 1, $ t\u00ednh b? ","select":["A. $b = 1 $","B. $b = 0 $","C. $b = -1 $","D. $b = 2 $"],"hint":"Thay $x = \\dfrac{1}{2}$ v\u00e0o h\u00e0m s\u1ed1 \u0111\u1ec3 t\u00ecm b.","explain":" Ta c\u00f3: $y = f(x) = 4x + b $ <br\/> Do \u0111\u00f3: $ f\\left( \\dfrac{1}{2}\\right) = 4.\\dfrac{1}{2} + b = 1$ <br\/> Suy ra $ 2 + b = 1 \\Rightarrow b = -1 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":2}]}],"id_ques":685},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["f","t","f","t"]],"list":[{"point":5,"image":"","content":"","col_name":["Cho h\u00e0m s\u1ed1 $y = f(x) = x^{2} - 1 $","\u0110\u00fang","Sai"],"arr_ques":["V\u1edbi $x = -3$ th\u00ec $f(x) = -10 $","V\u1edbi $x = -3$ th\u00ec $f(x) = 8 $","N\u1ebfu $f(x) = 0$ th\u00ec $x = 1 $","N\u1ebfu $f(x) = 0$ th\u00ec $x = 1 $ ho\u1eb7c $x = -1 $"],"explain":["V\u1edbi $x = -3$ th\u00ec $f(x) = (-3)^{2} - 1 = 9 - 1 = 8 $","<br\/> V\u1edbi $x = -3$ th\u00ec $f(x) = (-3)^{2} - 1 = 9 - 1 = 8 $","<br\/>N\u1ebfu $f(x) = 0 \\Leftrightarrow x^{2} - 1 = 0 \\Leftrightarrow x = \\pm 1$ ","<br\/> N\u1ebfu $f(x) = 0 \\Leftrightarrow x^{2} - 1 = 0 \\Leftrightarrow x = \\pm 1$"]}]}],"id_ques":686},{"time":9,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["0"],["1"],["1"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Cho h\u00e0m s\u1ed1: $y = f(x) = \\begin{cases} 1 \\text { n\u1ebfu } 0 \\leq x \\leq 1 \\\\ 0 \\text { n\u1ebfu } x < 0 \\text{ ho\u1eb7c } x > 1 \\end{cases} $ <br\/> Gi\u00e1 tr\u1ecb c\u1ee7a $ f(-3) = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ f\\left(\\dfrac{1}{2} \\right) = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ f(1) = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} $","hint":"X\u00e9t d\u1ea5u c\u1ee7a x \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh f(x)","explain":" Ta c\u00f3: $ -3 < 0 \\Rightarrow f(-3) = 0 \\\\ 0 < \\dfrac{1}{2} < 1 \\Rightarrow f\\left(\\dfrac{1}{2} \\right) = 1 \\\\ f(1) = 1 $ <br\/> <span class='basic_pink'>V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0 $0; 1; 1$<\/span>"}]}],"id_ques":687},{"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":" Cho h\u00e0m s\u1ed1 $y = f(x) = |3x - 1| $ <br\/> Khi \u0111\u00f3 $f(0)$ b\u1eb1ng: ","select":["A. $1$","B. $-1$ ","C. $2$","D. $-2$"],"hint":"Thay $x = 0$ v\u00e0o c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh.","explain":" Ta c\u00f3: $y = f(x) = |3x - 1| $ <br\/> Do \u0111\u00f3: $f(0) =|3.0 - 1| = |-1| = 1 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":4}]}],"id_ques":688},{"time":9,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-1"],["2"],["3"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Cho h\u00e0m s\u1ed1 $y = f(x) = \\dfrac{-12}{x} $ <br\/> \u0110i\u1ec1n c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a $x, y$ v\u00e0o \u00f4 tr\u1ed1ng trong b\u1ea3ng sau: <table><tr><td>$x$<\/td><td>-6<\/td><td>-4<\/td><td>_input_<\/td><\/tr><tr><td>$y$<\/td><td>_input_<\/td><td>_input_<\/td><td>12<\/td><\/tr><\/table>","explain":" Ta c\u00f3: $y = \\dfrac{-12}{x} $ <br\/> V\u1edbi $x = -6$ th\u00ec $ y = \\dfrac{-12}{-6} = 2 $ <br\/> V\u1edbi $x = -4$ th\u00ec $ y = \\dfrac{-12}{-4} = 3 $ <br\/> V\u1edbi $y = 12 $ th\u00ec $ 12 = \\dfrac{-12}{x} \\Rightarrow x = -1 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0 $-1; 2; 3$ <\/span><\/span> "}]}],"id_ques":689},{"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":" Cho h\u00e0m s\u1ed1 $y = f(x) = \\dfrac{5}{x-1} $ <br\/> T\u00ecm $x$ \u0111\u1ec3 $y = -1?$ ","select":["A. $x = 4 $","B. $x = -4 $","C. $x = 6 $","D. $x = -6 $"],"hint":"Thay y v\u00e0o h\u00e0m s\u1ed1 r\u1ed3i gi\u1ea3i nh\u01b0 b\u00e0i to\u00e1n t\u00ecm x","explain":" Ta c\u00f3: $y = f(x) = \\dfrac{5}{x-1} $ <br\/> M\u00e0 $y = -1 \\Rightarrow \\dfrac{5}{x-1} = -1 \\\\ \\Rightarrow \\begin{cases} x \\neq 1 \\\\ 5 = -x + 1 \\end{cases} \\\\ \\Rightarrow \\begin{cases} x \\neq 1 \\\\ x = -4 \\end{cases} $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span><\/span> ","column":2}]}],"id_ques":690},{"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":" Cho h\u00e0m s\u1ed1 $y = f(x) = 5 - 2x $ <br\/> T\u00ecm $x$ \u0111\u1ec3 $y = 5?$ ","select":["A. $x = \\dfrac{-25}{2} $","B. $x = \\dfrac{25}{2} $","C. $x = 1 $","D. $x = 0 $"],"hint":"Thay y v\u00e0o h\u00e0m s\u1ed1 r\u1ed3i gi\u1ea3i nh\u01b0 b\u00e0i to\u00e1n t\u00ecm x","explain":" Ta c\u00f3: $y = f(x) = 5 - 2x $ <br\/> M\u00e0 $y = 5 \\Rightarrow 5 - 2x = 5 \\\\ \\Rightarrow 2x = 0 \\\\ \\Rightarrow x = 0 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 D. <\/span><\/span> ","column":2}]}],"id_ques":691},{"time":9,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["6"],["2"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Cho h\u00e0m s\u1ed1 $y = \\dfrac{3}{5}x $ <br\/> \u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng trong b\u1ea3ng sau: <table><tr><td>$x$<\/td><td>-5<\/td><td>10<\/td><td>$\\frac{10}{3}$<\/td><\/tr><tr><td>$y$<\/td><td>-3<\/td><td>_input_<\/td><td>_input_<\/td><\/tr><\/table>","explain":" Ta c\u00f3: $y = \\dfrac{3}{5}x $ <br\/> V\u1edbi $x = 10$ th\u00ec $ y = \\dfrac{3}{5}.10 = 6 $ <br\/> V\u1edbi $x = \\dfrac{10}{3}$ th\u00ec $ y = \\dfrac{3}{5}.\\dfrac{10}{3} = 2 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u00e0 6; 2 <\/span><\/span> "}]}],"id_ques":692},{"time":9,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-3"],["-5"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Cho h\u00e0m s\u1ed1 $y = \\dfrac{15}{x} $ <br\/> \u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng trong b\u1ea3ng sau: <table><tr><td>$x$<\/td><td>-5<\/td><td>-3<\/td><td>-1<\/td><\/tr><tr><td>$y$<\/td><td>_input_<\/td><td>_input_<\/td><td>-15<\/td><\/tr><\/table>","explain":" Ta c\u00f3: $y = \\dfrac{15}{x} $ <br\/> V\u1edbi $x = -5$ th\u00ec $ y = \\dfrac{15}{-5} = -3 $ <br\/> V\u1edbi $x = -3$ th\u00ec $ y = \\dfrac{15}{-3} = -5 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u00e0 $-3, -5$ <\/span><\/span> "}]}],"id_ques":693},{"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":" Cho h\u00e0m s\u1ed1 $y = f(x) = 1 - 8x $ <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang? ","select":["A. $f(-1) = 9 $","B. $f\\left(\\dfrac{1}{2}\\right) = 3 $","C. $f(3) = 25 $","D. $f(4) = 33 $"],"hint":"Thay $x$ v\u00e0o c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh.","explain":" Ta c\u00f3: $y = f(x) = 1 - 8x $ <br\/> Do \u0111\u00f3: $ f(-1) = 1 - 8.(-1) = 1 + 8 = 9 \\\\ f\\left(\\dfrac{1}{2}\\right) = 1 - 8.\\dfrac{1}{2} = 1 - 4 = - 3 \\\\ f(3) = 1 - 8.3 = 1 - 24 = -23 \\\\ f(4) = 1 - 8.4 = 1 - 32 = -31 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":2}]}],"id_ques":694},{"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":" Cho h\u00e0m s\u1ed1 $y = f(x) = 2x - 5 .$ T\u00ecm $x$ \u0111\u1ec3 $y = -11?$ ","select":["A. $x = -3 $","B. $x = -8 $","C. $x = 3 $","D. $x = 8 $"],"hint":"Thay y v\u00e0o h\u00e0m s\u1ed1 r\u1ed3i gi\u1ea3i nh\u01b0 b\u00e0i to\u00e1n t\u00ecm x","explain":" Ta c\u00f3: $y = f(x) = 2x - 5 $ <br\/> M\u00e0 $y = -11 \\Rightarrow 2x - 5 = -11 \\\\ \\Rightarrow 2x = 5 - 11 \\\\ \\Rightarrow 2x = -6 \\\\ \\Rightarrow x = -3 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":2}]}],"id_ques":695},{"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":" Cho h\u00e0m s\u1ed1 $y = f(x) = x^{2} + 1 . $ <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang? ","select":["A. $f(0) = 0 $","B. $f(-1) = -1 $","C. $f(-2) = 3 $","D. $f(3) = 10 $"],"hint":"Thay $x$ v\u00e0o h\u00e0m s\u1ed1 \u0111\u1ec3 t\u00ednh.","explain":" Ta c\u00f3: $y = f(x) = x^{2} + 1 $ <br\/> Do \u0111\u00f3: $ f(0) = 0^{2} + 1 = 0 + 1 = 1 \\\\ f(-1) = (-1)^{2} + 1 = 1 + 1 = 2 \\\\ f(-2) = (-2)^{2} + 1 = 4 + 1 = 5 \\\\ f(3) = 3^{2} + 1 = 9 + 1= 10 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 D. <\/span><\/span> ","column":2}]}],"id_ques":696},{"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":" Cho h\u00e0m s\u1ed1 $y = f(x) = 2x^{2} + 3 .$ <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang? ","select":["A. $f(0) = 5 $","B. $f(1) = 7 $","C. $f(-1) = 1 $","D. $f(-2) = 11 $"],"hint":"Thay $x$ v\u00e0o c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh.","explain":" Ta c\u00f3: $y = f(x) = 2x^{2} + 3 $ <br\/> Do \u0111\u00f3: $ f(0) = 2.0^{2} + 3 = 0 + 3 = 3 \\\\ f(1) = 2.1^{2} + 3 = 2 + 3 = 5 \\\\ f(-1) = 2.(-1)^{2} + 3 = 2 + 3 = 5 \\\\ f(-2) = 2.(-2)^{2} + 3 = 8 + 3 = 11$ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 D. <\/span><\/span> ","column":2}]}],"id_ques":697},{"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":" Cho h\u00e0m s\u1ed1 $y = f(x) = 1 - 8x .$ <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang? ","select":["A. $f(-1) = 9 $","B. $f\\left(\\dfrac{1}{2}\\right) = 3 $","C. $f(3) = 25 $"],"hint":"Thay $x$ v\u00e0o c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh.","explain":" Ta c\u00f3: $y = f(x) = 1 - 8x $ <br\/> Do \u0111\u00f3: $ f(-1) = 1 - 8.(-1) = 1 + 8 = 9 \\\\ f\\left(\\dfrac{1}{2}\\right) = 1 - 8.\\dfrac{1}{2} = 1 - 4 = -3 \\\\ f(3) = 1 - 8.3 = 1 - 24 = -23 $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":3}]}],"id_ques":698},{"time":24,"part":[{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-26"],["0"]]],"list":[{"point":5,"width":20,"content":"","type_input":"","ques":"Cho h\u00e0m s\u1ed1 $y = f(x) = 5x - 1. $ <br\/> Gi\u00e1 tr\u1ecb c\u1ee7a $f(-5) = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{} \\\\ f\\left(\\dfrac{1}{5}\\right) = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$ ","hint":"Thay $x$ v\u00e0o h\u00e0m s\u1ed1 \u0111\u1ec3 t\u00ednh.","explain":" Ta c\u00f3: $y = f(x) = 5x -1 $ <br\/> Do \u0111\u00f3: $f(-5) = 5.(-5) -1 = -25 - 1 =-26 \\\\ f\\left(\\dfrac{1}{5}\\right) = 5.\\dfrac{1}{5} -1 = 1 - 1 = 0 $ <br\/><br\/><span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $-26; 0$ <\/span><\/span> "}]}],"id_ques":699},{"time":24,"part":[{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["12"],["5"],["-4"]]],"list":[{"point":5,"width":20,"content":"","type_input":"","ques":"Cho h\u00e0m s\u1ed1 $y = f(x) = \\dfrac{12}{x}. $ <br\/> Gi\u00e1 tr\u1ecb c\u1ee7a $f(5) = \\dfrac{\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}}{\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}} \\\\ f(-3) = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$ ","hint":"Thay $x$ v\u00e0o c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh.","explain":" Ta c\u00f3: $y = f(x) = \\dfrac{12}{x} $ <br\/> Do \u0111\u00f3: $f(5) = \\dfrac{12}{5} \\\\ f(-3) = \\dfrac{12}{-3} = -4 $ <br\/><br\/><span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $\\dfrac{12}{5}, -4$. <\/span><\/span> "}]}],"id_ques":700}],"lesson":{"save":0,"level":2}}