{"segment":[{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"\u0110\u1ec1 chung cho hai c\u00e2u","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":"Cho b\u1ea3ng s\u1ed1 li\u1ec7u th\u1ed1ng k\u00ea ban \u0111\u1ea7u sau: <br\/> <table><tr><th>7<\/th><th>9<\/th><th>9<\/th><th>10<\/th><th>8<\/th><th>9<\/th><th>10<\/th><th>8<\/th><th>6<\/th><th>9<\/th><\/tr><tr><td>10<\/td><td>8<\/td><td>9<\/td><td>8<\/td><td>9<\/td><td>10<\/td><td>7<\/td><td>8<\/td><td>9<\/td><td>8<\/td><\/tr><tr><td>8<\/td><td>10<\/td><td>9<\/td><td>9<\/td><td>6<\/td><td>8<\/td><td>7<\/td><td>9<\/td><td>10<\/td><td>7<\/td><\/tr><\/table> <br\/> <b>C\u00e2u 1. <\/b> M\u1ed9t b\u1ea1n h\u1ecdc sinh l\u1eadp ra b\u1ea3ng \u201ct\u1ea7n s\u1ed1\u201d t\u01b0\u01a1ng \u1ee9ng sau (b\u1ea3ng $1$): <br\/> <table><tr><th>Gi\u00e1 tr\u1ecb $(x)$<\/th><th>6<\/th><th>7<\/th><th>8<\/th><th>9<\/th><th>10<\/th><th><\/th><\/tr><tr><td>T\u1ea7n s\u1ed1 $(n)$<\/td><td>1<\/td><td>4<\/td><td>8<\/td><td>11<\/td><td>6<\/td><td>$N=30$<\/td><\/tr><\/table> <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang?","select":["A. B\u1ea3ng $1$ \u0111\u00fang ho\u00e0n to\u00e0n","B. B\u1ea3ng $1$ c\u00f3 $2$ c\u1ed9t sai","C. B\u1ea3ng $1$ c\u00f3 $3$ c\u1ed9t sai","D. B\u1ea3ng $1$ c\u00f3 $4$ c\u1ed9t sai"],"explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>T\u1eeb b\u1ea3ng th\u1ed1ng k\u00ea ban \u0111\u1ea7u x\u00e9t xem c\u00e1c gi\u00e1 tr\u1ecb v\u00e0 t\u1ea7n s\u1ed1 c\u1ee7a m\u1ed7i gi\u00e1 tr\u1ecb \u0111\u01b0\u1ee3c ghi trong b\u1ea3ng $1$ c\u00f3 \u0111\u00fang kh\u00f4ng. <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3 b\u1ea3ng ''t\u1ea7n s\u1ed1'' \u0111\u00fang theo s\u1ed1 li\u1ec7u th\u1ed1ng k\u00ea ban \u0111\u1ea7u l\u00e0: <br\/> <table><tr><th>Gi\u00e1 tr\u1ecb $(x)$<\/th><th>6<\/th><th>7<\/th><th>8<\/th><th>9<\/th><th>10<\/th><th><\/th><\/tr><tr><td>T\u1ea7n s\u1ed1 $(n)$<\/td><td>2<\/td><td>4<\/td><td>8<\/td><td>10<\/td><td>6<\/td><td>$N=30$<\/td><\/tr><\/table> <br\/> Do \u0111\u00f3, b\u1ea3ng $1$ c\u00f3 hai c\u1ed9t sai: T\u1ea7n s\u1ed1 c\u1ee7a gi\u00e1 tr\u1ecb $6$ ph\u1ea3i l\u00e0 $2$ v\u00e0 t\u1ea7n s\u1ed1 c\u1ee7a gi\u00e1 tr\u1ecb $9$ ph\u1ea3i l\u00e0 $10$. <br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 B.<\/span><\/span>","column":2}]}],"id_ques":931},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 \u0111\u00fang nh\u1ea5t v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"\u0110\u1ec1 chung cho hai c\u00e2u","temp":"fill_the_blank","correct":[[["10"],["6"],["9"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" <span class='basic_left'> Cho b\u1ea3ng s\u1ed1 li\u1ec7u th\u1ed1ng k\u00ea ban \u0111\u1ea7u sau: <br\/> <table><tr><th>7<\/th><th>9<\/th><th>9<\/th><th>10<\/th><th>8<\/th><th>9<\/th><th>10<\/th><th>8<\/th><th>6<\/th><th>9<\/th><\/tr><tr><td>10<\/td><td>8<\/td><td>9<\/td><td>8<\/td><td>9<\/td><td>10<\/td><td>7<\/td><td>8<\/td><td>9<\/td><td>8<\/td><\/tr><tr><td>8<\/td><td>10<\/td><td>9<\/td><td>9<\/td><td>6<\/td><td>8<\/td><td>7<\/td><td>9<\/td><td>10<\/td><td>7<\/td><\/tr><\/table> <br\/> <b> C\u00e2u 2. <\/b> \u0110i\u1ec1n v\u00e0o ch\u1ed7 tr\u1ed1ng trong c\u00e1c c\u00e2u sau \u0111\u1ec3 \u0111\u01b0\u1ee3c kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang. <br\/>- Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t l\u00e0 _input_ <br\/> - Gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t l\u00e0 _input_ <br\/> - Gi\u00e1 tr\u1ecb c\u1ee7a t\u1ea7n s\u1ed1 l\u1edbn nh\u1ea5t l\u00e0 _input_ <\/span>","explain":"<span class='basic_left'>Ta c\u00f3 b\u1ea3ng \u201ct\u1ea7n s\u1ed1\u201d theo b\u1ea3ng th\u1ed1ng k\u00ea nh\u01b0 sau: <br\/> <table><tr><th>Gi\u00e1 tr\u1ecb $(x)$<\/th><th>6<\/th><th>7<\/th><th>8<\/th><th>9<\/th><th>10<\/th><th><\/th><\/tr><tr><td>T\u1ea7n s\u1ed1 $(n)$<\/td><td>2<\/td><td>4<\/td><td>8<\/td><td>10<\/td><td>6<\/td><td>$N=30$<\/td><\/tr><\/table> <br\/> Do \u0111\u00f3 ta c\u00f3: <br\/> - Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t l\u00e0 $10$ <br\/> - Gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t l\u00e0 $6$ <br\/> - Gi\u00e1 tr\u1ecb c\u1ee7a t\u1ea7n s\u1ed1 l\u1edbn nh\u1ea5t l\u00e0 $9$ <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 $10; 6;9$.<\/span><\/span>"}]}],"id_ques":932},{"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"],["4"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" B\u1ea3ng sau th\u1ed1ng k\u00ea \u0111i\u1ec3m s\u1ed1 m\u1ed9t b\u00e0i ki\u1ec3m tra c\u1ee7a $40$ h\u1ecdc sinh:<br\/> <table><tr><th>Lo\u1ea1i \u0111i\u1ec3m<\/th><th>4<\/th><th>5<\/th><th>6<\/th><th>7<\/th><th>8<\/th><th>9<\/th><th>10<\/th><th><\/th><\/tr><tr><td>T\u1ea7n s\u1ed1 $(n)$<\/td><td>1<\/td><td>0<\/td><td>$x$<\/td><td>15<\/td><td>10<\/td><td>$y$<\/td><td>2<\/td><td>$N=40$<\/td><\/tr><\/table> <br\/> Bi\u1ebft s\u1ed1 h\u1ecdc sinh \u0111\u1ea1t t\u1eeb \u0111i\u1ec3m $8$ tr\u1edf l\u00ean chi\u1ebfm t\u1ec9 l\u1ec7 $40\\%$. H\u00e3y t\u00ednh $x$ v\u00e0 $y$. <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $x= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}; y=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$ <\/span>","hint":"T\u00ednh t\u1ed5ng s\u1ed1 h\u1ecdc sinh \u0111\u1ea1t t\u1eeb \u0111i\u1ec3m $8$ tr\u1edf l\u00ean, t\u1eeb \u0111\u00f3 t\u00ecm $y$.","explain":"<span class='basic_left'>S\u1ed1 h\u1ecdc sinh \u0111\u1ea1t t\u1eeb $8$ \u0111i\u1ec3m tr\u1edf l\u00ean l\u00e0: <br\/>$40\\cdot \\dfrac{40}{100}=16$ (h\u1ecdc sinh) <br\/>Ta c\u00f3: <br\/>$\\begin{align} & 10+y+2=16 \\\\ & \\Rightarrow y=16-10-2 \\\\ & \\Rightarrow y=4 \\\\ \\end{align}$ <br\/> M\u1eb7t kh\u00e1c: <br\/> $\\begin{align} & 1+0+x+15+10+4+2=40 \\\\ & \\Rightarrow x+32=40 \\\\ & \\Rightarrow x=40-32 \\\\ & \\Rightarrow x=8 \\\\ \\end{align}$ <br\/>V\u1eady $x = 8; y = 4$<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 $8;4$.<\/span><\/span>"}]}],"id_ques":933},{"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":[[["50"],["60"],["70"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" Cho b\u1ea3ng th\u1ed1ng k\u00ea nh\u01b0 sau: <br\/> <table><tr><th>160<\/th><th>85<\/th><th>50<\/th><th>65<\/th><th>85<\/th><th>$y$<\/th><th>50<\/th><th>60<\/th><th>75<\/th><th>58<\/th><\/tr><tr><td>60<\/td><td>75<\/td><td>$x$<\/td><td>80<\/td><td>90<\/td><td>120<\/td><td>160<\/td><td>$z$<\/td><td>80<\/td><td>75<\/td><\/tr><\/table> <br\/> T\u00ecm $x;y;z\\,\\,\\left( x;y;z\\,\\,\\in \\,\\mathbb{N^*} \\right)$, bi\u1ebft theo th\u1ee9 t\u1ef1 \u0111\u00f3 s\u1ed1 sau h\u01a1n s\u1ed1 tr\u01b0\u1edbc $10$ \u0111\u01a1n v\u1ecb v\u00e0 $x+y+z=180$ <br\/> H\u00e3y t\u00ednh $x;y$ v\u00e0 $z$. <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $x= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}; y=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{};z=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$ <\/span>","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Bi\u1ec3u di\u1ec5n $x$ v\u00e0 $z$ theo $y$. <br\/> T\u1eeb gi\u1ea3 thi\u1ebft t\u00ednh ra gi\u00e1 tr\u1ecb c\u1ee7a $y$ sau \u0111\u00f3 t\u00ecm $x$ v\u00e0 $z$. <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Theo gi\u1ea3 thi\u1ebft ta c\u00f3: $x=y-10;\\,\\,z=y+10$ <br\/> M\u00e0 $x+y+z=180$ <br\/> $\\begin{align} & \\Rightarrow y-10+y+y+10=180 \\\\ & \\Rightarrow 3y=180 \\\\ & \\Rightarrow y=60 \\\\ \\end{align}$ <br\/> Do \u0111\u00f3: $x=y-10=60-10=50$<br\/> $z=y+10=60+10=70$ <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 $50;60;70$.<\/span><\/span>"}]}],"id_ques":934},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":"Ta c\u00f3 b\u1ea3ng s\u1ed1 li\u1ec7u nh\u01b0 sau: <br\/> <table><tr><th>160<\/th><th>85<\/th><th>50<\/th><th>65<\/th><th>85<\/th><th>50<\/th><th>50<\/th><th>60<\/th><th>75<\/th><th>58<\/th><\/tr><tr><td>60<\/td><td>75<\/td><td>65<\/td><td>80<\/td><td>90<\/td><td>120<\/td><td>160<\/td><td>85<\/td><td>80<\/td><td>75<\/td><\/tr><\/table> <br\/> Gi\u00e1 tr\u1ecb n\u00e0o c\u00f3 t\u1ea7n s\u1ed1 l\u1edbn nh\u1ea5t?","select":["A. $160$","B. $3$","C. $50;75$ v\u00e0 $85$","D. $85$ "],"explain":"<span class='basic_left'>Theo b\u1ea3ng th\u1ed1ng k\u00ea ban \u0111\u1ea7u ta c\u00f3: <br\/> C\u00e1c gi\u00e1 tr\u1ecb kh\u00e1c nhau l\u00e0: $50;58;60;65;75;80;85;90;120;160$ <br\/> T\u1ea7n s\u1ed1 t\u01b0\u01a1ng \u1ee9ng c\u1ee7a c\u00e1c gi\u00e1 tr\u1ecb \u0111\u00f3 l\u00e0: $3;1;2;2;3;2;3;1;1;2$ <br\/> T\u1ea7n s\u1ed1 l\u1edbn nh\u1ea5t l\u00e0 $3$ \u1ee9ng v\u1edbi c\u00e1c gi\u00e1 tr\u1ecb l\u00e0: $50;75$ v\u00e0 $85$<br\/><span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 C.<\/span><\/span>","column":2}]}],"id_ques":935},{"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":[[["10"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" M\u1ed9t ng\u01b0\u1eddi thi b\u1eafn cung. S\u1ed1 \u0111i\u1ec3m c\u1ee7a m\u1ed7i l\u1ea7n b\u1eafn \u0111\u01b0\u1ee3c ghi trong b\u1ea3ng sau: <br\/> <table><tr><th>7<\/th><th>9<\/th><th>10<\/th><th>8<\/th><th>10<\/th><th>9<\/th><th>10<\/th><th>10<\/th><th>9<\/th><th>x<\/th><\/tr><\/table> <br\/> T\u00ecm $x$, bi\u1ebft s\u1ed1 l\u1ea7n b\u1eafn tr\u00fang v\u00f2ng $10$ \u0111i\u1ec3m \u0111\u1ea1t t\u1ec9 l\u1ec7 $50\\%$ s\u1ed1 l\u1ea7n b\u1eafn. <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'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u00ednh s\u1ed1 l\u1ea7n b\u1eafn tr\u00fang \u0111i\u1ec3m $10$ theo gi\u1ea3 thi\u1ebft <br\/> \u0110\u1ed3ng nh\u1ea5t v\u1edbi s\u1ed1 l\u1ea7n b\u1eafn tr\u00fang \u0111i\u1ec3m $10$ c\u00f3 trong b\u1ea3ng \u0111\u1ec3 t\u00ecm $x$. <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>S\u1ed1 l\u1ea7n b\u1eafn tr\u00fang v\u00f2ng $10$ \u0111i\u1ec3m l\u00e0: <br\/> $10\\cdot \\dfrac{50}{100}=5$ (l\u1ea7n) <br\/> \u1ede trong b\u1ea3ng \u0111\u00e3 c\u00f3 $4$ \u0111i\u1ec3m $10$. V\u1eady \u0111i\u1ec3m $10$ th\u1ee9 n\u0103m ch\u00ednh l\u00e0 $x$.<br\/> Do \u0111\u00f3 $x = 10$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $10$.<\/span><\/span>"}]}],"id_ques":936},{"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"],["2"],["4"],["3"],["12,5","12.5"],["31,25","31.25"],["12,5","12.5"],["25"],["18,75","18.75"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"S\u1ed1 tu\u1ed5i c\u1ee7a $16$ c\u1ea7u th\u1ee7 trong m\u1ed9t \u0111\u1ed9i b\u00f3ng nh\u01b0 sau: <br\/><table><tr><th>18<\/th><th>18<\/th><th>21<\/th><th>18<\/th><th>19<\/th><th>20<\/th><th>20<\/th><th>21<\/th><\/tr><tr><td>18<\/td><td>17<\/td><td>19<\/td><td>20<\/td><td>20<\/td><td>21<\/td><td>18<\/td><td>17<\/td><\/tr><\/table> <br\/> \u0110i\u1ec1n v\u00e0o c\u00e1c \u00f4 tr\u1ed1ng trong b\u1ea3ng ''t\u1ea7n s\u1ed1'' trong \u0111\u00f3 c\u00f3 t\u1ea7n su\u1ea5t (t\u00ednh theo $\\%$) c\u1ee7a m\u1ed7i gi\u00e1 tr\u1ecb sau: <br\/> <table><tr><th>Gi\u00e1 tr\u1ecb $(x)$<\/th><th>17<\/th><th>18<\/th><th>19<\/th><th>20<\/th><th>21<\/th><th><\/th><\/tr><tr><td>T\u1ea7n s\u1ed1 $(n)$<\/td><td>_input_<\/td><td>_input_<\/td><td>_input_<\/td><td>_input_<\/td><td>_input_<\/td><td>$N=16$<\/td><\/tr><tr><td>T\u1ea7n su\u1ea5t $(f)$<\/td><td>_input_%<\/td><td>_input_%<\/td><td>_input_%<\/td><td>_input_%<\/td><td>_input_%<\/td><td>100%<\/td><\/tr><\/table>","hint":"T\u1ea7n su\u1ea5t $f$ c\u1ee7a m\u1ed9t gi\u00e1 tr\u1ecb \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c $f=\\dfrac{n}{N}$ ($n$ l\u00e0 t\u1ea7n s\u1ed1 c\u1ee7a gi\u00e1 tr\u1ecb, $N$ l\u00e0 s\u1ed1 c\u00e1c gi\u00e1 tr\u1ecb) <br\/> - T\u1ea7n su\u1ea5t $f$ th\u01b0\u1eddng \u0111\u01b0\u1ee3c t\u00ednh d\u01b0\u1edbi d\u1ea1ng t\u1ec9 s\u1ed1 ph\u1ea7n tr\u0103m.","explain":"<span class='basic_left'> Ta c\u00f3 b\u1ea3ng ''t\u1ea7n s\u1ed1'' \u0111\u1ea7y \u0111\u1ee7 nh\u01b0 sau: <br\/> <table><tr><th>Gi\u00e1 tr\u1ecb $(x)$<\/th><th>17<\/th><th>18<\/th><th>19<\/th><th>20<\/th><th>21<\/th><th><\/th><\/tr><tr><td>T\u1ea7n s\u1ed1 $(n)$<\/td><td>2<\/td><td>5<\/td><td>2<\/td><td>4<\/td><td>3<\/td><td>$N=16$<\/td><\/tr><tr><td>T\u1ea7n su\u1ea5t $(f)$<\/td><td>12,5%<\/td><td>31,25%<\/td><td>12,5%<\/td><td>25%<\/td><td>18,75%<\/td><td>100%<\/td><\/tr><\/table> <br\/><span class='basic_pink'>V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o c\u00e1c \u00f4 tr\u1ed1ng \u1edf h\u00e0ng t\u1ea7n s\u1ed1 $(n)$ l\u1ea7n l\u01b0\u1ee3t l\u00e0: $2;5;2;4;3$ <br\/> C\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o c\u00e1c \u00f4 tr\u1ed1ng \u1edf h\u00e0ng t\u1ea7n su\u1ea5t $(f)$ l\u1ea7n l\u01b0\u1ee3t l\u00e0 $12,5;\\,31,25;\\,12,5;\\,25;\\,18,75$<\/span> <\/span>"}]}],"id_ques":937},{"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":[[["14"],["8"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" B\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y cho ta bi\u1ebft s\u1ed1 s\u00e1ch c\u1ee7a m\u1ed9t th\u01b0 vi\u1ec7n tr\u01b0\u1eddng h\u1ecdc m\u00e0 $100$ h\u1ecdc sinh \u0111\u00e3 m\u01b0\u1ee3n: <br\/> <table><tr><th>S\u1ed1 cu\u1ed1n s\u00e1ch<\/th><th>S\u1ed1 h\u1ecdc sinh<\/th><\/tr><tr><td>1<\/td><td>15<\/td><\/tr><tr><td>2<\/td><td>$X$<\/td><\/tr><tr><td>3<\/td><td>28<\/td><\/tr><tr><td>4<\/td><td>20<\/td><\/tr><tr><td>5<\/td><td>$Y$<\/td><\/tr><tr><td>6<\/td><td>15<\/td><\/tr><\/table> <br\/> T\u00ecm $X, Y$ bi\u1ebft s\u1ed1 h\u1ecdc sinh m\u01b0\u1ee3n nhi\u1ec1u h\u01a1n $3$ cu\u1ed1n s\u00e1ch l\u00e0 $43$ <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $X= \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}; Y=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$ <\/span>","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u00ecm t\u1ed5ng s\u1ed1 h\u1ecdc sinh m\u01b0\u1ee3n nhi\u1ec1u h\u01a1n $3$ cu\u1ed1n s\u00e1ch theo b\u1ea3ng th\u1ed1ng k\u00ea. <br\/> Cho s\u1ed1 h\u1ecdc sinh \u0111\u00f3 b\u1eb1ng $43$ \u0111\u1ec3 t\u00ecm $Y$ <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>S\u1ed1 h\u1ecdc sinh m\u01b0\u1ee3n nhi\u1ec1u h\u01a1n $3$ cu\u1ed1n s\u00e1ch l\u00e0 $43$, t\u1ee9c l\u00e0: <br\/> $\\begin{align} & 20+Y+15=43 \\\\ & \\Rightarrow 35+Y=43 \\\\ & \\Rightarrow Y=43-35 \\\\ & \\Rightarrow Y=8 \\\\ \\end{align}$ <br\/> M\u1eb7t kh\u00e1c, v\u00ec b\u1ea3ng th\u1ed1ng k\u00ea c\u00f3 $100$ h\u1ecdc sinh m\u01b0\u1ee3n s\u00e1ch n\u00ean ta c\u00f3: <br\/> $\\begin{align} & 15+X+28+20+8+15=100 \\\\ & \\Rightarrow 86+X=100 \\\\ & \\Rightarrow X=100-86 \\\\ & \\Rightarrow X=14 \\\\ \\end{align}$ <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 $14$ v\u00e0 $8$.<\/span><\/span>"}]}],"id_ques":938},{"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":[[["29"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":"B\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y cho ta bi\u1ebft s\u1ed1 s\u00e1ch c\u1ee7a m\u1ed9t th\u01b0 vi\u1ec7n tr\u01b0\u1eddng h\u1ecdc m\u00e0 $100$ h\u1ecdc sinh \u0111\u00e3 m\u01b0\u1ee3n: <br\/> <table><tr><th>S\u1ed1 cu\u1ed1n s\u00e1ch<\/th><th>S\u1ed1 h\u1ecdc sinh<\/th><\/tr><tr><td>1<\/td><td>15<\/td><\/tr><tr><td>2<\/td><td>14<\/td><\/tr><tr><td>3<\/td><td>28<\/td><\/tr><tr><td>4<\/td><td>20<\/td><\/tr><tr><td>5<\/td><td>8<\/td><\/tr><tr><td>6<\/td><td>15<\/td><\/tr><\/table> <br\/> S\u1ed1 ph\u1ea7n tr\u0103m nh\u1eefng h\u1ecdc sinh m\u01b0\u1ee3n \u00edt h\u01a1n $3$ cu\u1ed1n s\u00e1ch l\u00e0 bao nhi\u00eau? <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> _input_ $\\%$","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u00ecm t\u1ed5ng s\u1ed1 h\u1ecdc sinh m\u01b0\u1ee3n \u00edt h\u01a1n $3$ cu\u1ed1n s\u00e1ch theo b\u1ea3ng th\u1ed1ng k\u00ea. <br\/> T\u00ednh t\u1ec9 s\u1ed1 ph\u1ea7n tr\u0103m gi\u1eefa s\u1ed1 h\u1ecdc sinh m\u01b0\u1ee3n \u00edt h\u01a1n $3$ cu\u1ed1n s\u00e1ch v\u1edbi t\u1ed5ng s\u1ed1 h\u1ecdc sinh m\u01b0\u1ee3n s\u00e1ch trong b\u1ea3ng th\u1ed1ng k\u00ea. <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> S\u1ed1 h\u1ecdc sinh m\u01b0\u1ee3n \u00edt h\u01a1n $3$ cu\u1ed1n s\u00e1ch l\u00e0: <br\/> $15+14=29$ (h\u1ecdc sinh) <br\/> Ph\u1ea7n tr\u0103m nh\u1eefng h\u1ecdc sinh m\u01b0\u1ee3n \u00edt h\u01a1n $3$ cu\u1ed1n s\u00e1ch l\u00e0: <br\/> $\\dfrac{29}{100}\\cdot 100\\%=29\\%$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $29$.<\/span><\/span>"}]}],"id_ques":939},{"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"],["2"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":"Ta c\u00f3 b\u1ea3ng ''t\u1ea7n s\u1ed1'' c\u00f3 c\u1ea3 c\u1ed9t t\u1ea7n su\u1ea5t $(f)$ nh\u01b0 sau: <br\/> <table><tr><th>Gi\u00e1 tr\u1ecb $(x)$<\/th><th>T\u1ea7n s\u1ed1 $(n)$<\/th><th>T\u1ea7n su\u1ea5t $(f)$<\/th><\/tr><tr><td>5<\/td><td>$a$<\/td><td>30%<\/td><\/tr><tr><td>8<\/td><td>4<\/td><td>40%<\/td><\/tr><tr><td>10<\/td><td>$b$<\/td><td>20%<\/td><\/tr><tr><td>12<\/td><td>1<\/td><td>10%<\/td><\/tr><tr><td><\/td><td>$N$<\/td><td>100%<\/td><\/tr><\/table> <br\/> T\u00ecm $a, b$ tr\u00ean b\u1ea3ng \u0111\u00e3 cho. <br\/> <b> \u0110\u00e1p \u00e1n: <\/b> $a=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{};\\,b=\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}$","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> - T\u00ecm $N$ <br\/> - T\u1eeb c\u00f4ng th\u1ee9c t\u00ednh t\u1ea7n su\u1ea5t $f=\\dfrac{n}{N}$ ($n$ l\u00e0 t\u1ea7n s\u1ed1 c\u1ee7a gi\u00e1 tr\u1ecb \u0111\u00f3 v\u00e0 $N$ l\u00e0 s\u1ed1 c\u00e1c gi\u00e1 tr\u1ecb) \u0111\u1ec3 t\u00ecm $a, b$ <br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Theo b\u1ea3ng ta th\u1ea5y gi\u00e1 tr\u1ecb $8$ c\u00f3 t\u1ea7n s\u1ed1 l\u00e0 $4,$ t\u1ea7n su\u1ea5t l\u00e0 $40\\%,$ t\u1ee9c l\u00e0: <br\/> $\\begin{align} & f=\\dfrac{4}{N}=40\\% \\\\ & \\Rightarrow N=\\dfrac{4}{40\\%}=10 \\\\ \\end{align}$ <br\/> Ta c\u00f3: <br\/>$\\begin{align} & \\dfrac{a}{N}=30\\% \\\\ & \\Leftrightarrow \\dfrac{a}{10}=30\\% \\\\ & \\Rightarrow a=10.30\\%=3 \\\\ \\end{align}$ <br\/>T\u01b0\u01a1ng t\u1ef1: <br\/> $\\begin{align} & \\dfrac{b}{N}=20\\% \\\\ & \\Leftrightarrow \\dfrac{b}{10}=20\\% \\\\ & \\Rightarrow b=10.20\\%=2 \\\\ \\end{align}$ <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 $3$ v\u00e0 $2$<\/span><\/span>"}]}],"id_ques":940}],"lesson":{"save":0,"level":3}}