{"common":{"save":0,"post_id":"5801","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"8419","post_id":"5801","mon_id":"1158532","chapter_id":"1158659","question":"<p>Ba nhà \u0111\u1ea7u t\u01b0 A, B, C góp v\u1ed1n theo t\u1ec9 l\u1ec7 2 : 3 : 5. H\u1ecfi m\u1ed7i nhà \u0111\u1ea7u t\u01b0 \u0111\u01b0\u1ee3c chia bao nhiêu ti\u1ec1n lãi n\u1ebfu t\u1ed5ng s\u1ed1 ti\u1ec1n lãi là 500 tri\u1ec7u \u0111\u1ed3ng và ti\u1ec1n lãi \u0111\u01b0\u1ee3c chia t\u1ec9 l\u1ec7 thu\u1eadn v\u1edbi s\u1ed1 v\u1ed1n \u0111ã \u0111óng?<\/p><p>\u0110áp s\u1ed1: Ti\u1ec1n lãi c\u1ee7a các nhà \u0111\u1ea7u t\u01b0 l\u1ea7n l\u01b0\u1ee3t là<\/p><p><span style=\"color:#2980b9;\">Nhà \u0111\u1ea7<\/span><span style=\"color:#2980b9;\">u t\u01b0 A: <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> tri\u1ec7u \u0111\u1ed3ng<\/span><\/p><p><span style=\"color:#2980b9;\">Nhà \u0111\u1ea7u t\u01b0 B: <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> tri\u1ec7u \u0111\u1ed3ng<\/span><\/p><p><span style=\"color:#2980b9;\">Nhà \u0111\u1ea7u t\u01b0 C: <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> tri\u1ec7u \u0111\u1ed3ng<\/span><\/p>","options":"","correct":["[\"100\",\"150\",\"250\"]"],"level":"2","hint":"<p>Áp d\u1ee5ng các tính ch\u1ea5t c\u1ee7a dãy t\u1ec9 s\u1ed1 b\u1eb1ng nhau<\/p>","answer":"<p>G\u1ecdi s\u1ed1 ti\u1ec1n lãi mà các nhà \u0111\u1ea7u t\u01b0 A, B, C nh\u1eadn \u0111\u01b0\u1ee3c l\u1ea7n l\u01b0\u1ee3t là x , y , z (\u0111\u01a1n v\u1ecb: tri\u1ec7u \u0111\u1ed3ng).<\/p><p>Theo \u0111\u1ec1 bài ta có x + y + z = 500.<\/p><p>Vì s\u1ed1 ti\u1ec1n lãi t\u1ec9 l\u1ec7 thu\u1eadn v\u1edbi s\u1ed1 v\u1ed1n \u0111ã \u0111óng mà các nhà \u0111\u1ea7u t\u01b0 l\u1ea1i góp v\u1ed1n theo t\u1ec9 l\u1ec7 2 : 3 : 5 nên ta có<\/p><p><span class=\"math-tex\">$\\dfrac{x}{2}=\\dfrac{y}{3}=\\dfrac{z}{5}$<\/span><\/p><p>Áp d\u1ee5ng tính ch\u1ea5t c\u1ee7a dãy t\u1ec9 s\u1ed1 b\u1eb1ng nhau, ta có<\/p><p><span class=\"math-tex\">$\\dfrac{x}{2}=\\dfrac{y}{3}=\\dfrac{z}{5}=\\dfrac{x+y+z}{2+3+5}=\\dfrac{500}{10}$<\/span> = 50<\/p><p>Suy ra x = 50 . 2 = 100 ; y = 50 . 3 = 150 ; z = 50 . 5 = 250<\/p><p>V\u1eady s\u1ed1 ti\u1ec1n lãi mà các nhà \u0111\u1ea7u t\u01b0 nh\u1eadn \u0111\u01b0\u1ee3c là<\/p><p>Nhà \u0111\u1ea7u t\u01b0 A: 100 tri\u1ec7u \u0111\u1ed3ng<\/p><p>Nhà \u0111\u1ea7u t\u01b0 B: 150 tri\u1ec7u \u0111\u1ed3ng<\/p><p>Nhà \u0111\u1ea7u t\u01b0 C: 250 tri\u1ec7u \u0111\u1ed3ng<\/p><p>Các s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t là <span style=\"color:#16a085;\">100 ; 150 ; 250<\/span><\/p>","type":"blank","extra_type":"","time":"0","user_id":"131","test":"3","date":"2022-05-30 08:29:31"},{"id":"8421","post_id":"5801","mon_id":"1158532","chapter_id":"1158659","question":"<p>Bi\u1ebft 4m dây \u0111\u1ed3ng n\u1eb7ng 23g. H\u1ecfi 100 m dây \u0111\u1ed3ng nh\u01b0 th\u1ebf n\u1eb7ng bao nhiêu gam?<\/p>","options":["<strong>A.<\/strong> 575 g","<strong>B. <\/strong>576 g","<strong>C. <\/strong>577 g","<strong>D.<\/strong> 578 g"],"correct":"1","level":"2","hint":"<p>Chi\u1ec1u dài dây \u0111\u1ed3ng t\u1ec9 l\u1ec7 thu\u1eadn v\u1edbi kh\u1ed1i l\u01b0\u1ee3ng dây \u0111\u1ed3ng<\/p>","answer":"<p>G\u1ecdi kh\u1ed1i l\u01b0\u1ee3ng c\u1ee7a 100 m dây \u0111\u1ed3ng là x (g).<\/p><p>Vì chi\u1ec1u dài dây \u0111\u1ed3ng và kh\u1ed1i l\u01b0\u1ee3ng dây \u0111\u1ed3ng là hai \u0111\u1ea1i l\u01b0\u1ee3ng t\u1ec9 l\u1ec7 thu\u1eadn nên ta có<\/p><p><span class=\"math-tex\">$\\dfrac{4}{100}=\\dfrac{23}{x}$<\/span> ⇒ x = <span class=\"math-tex\">$\\dfrac{100 . 23}{4}$<\/span> = 575 g<\/p><p>V\u1eady 100 m dây \u0111\u1ed3ng nh\u01b0 trên n\u1eb7ng 575 g.<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>A.<\/strong> 575 g<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-05-30 08:36:02","option_type":"txt","len":0},{"id":"8423","post_id":"5801","mon_id":"1158532","chapter_id":"1158659","question":"<p>Cho x và y là hai \u0111\u1ea1i l\u01b0\u1ee3ng t\u1ec9 l\u1ec7 thu\u1eadn. Bi\u1ebft các giá tr\u1ecb x<sub>1<\/sub>, x<sub>2<\/sub> c\u1ee7a x có t\u1ed5ng b\u1eb1ng 10 và các giá tr\u1ecb t\u01b0\u01a1ng \u1ee9ng y<sub>1<\/sub>, y<sub>2<\/sub> có t\u1ed5ng b\u1eb1ng 50 . Tính giá tr\u1ecb c\u1ee7a y khi x = 4<\/p>","options":["<strong>A. <\/strong>y = 10","<strong>B.<\/strong> y = 20","<strong>C.<\/strong> y = 5","<strong>D. <\/strong>y = 25"],"correct":"2","level":"2","hint":"","answer":"<p>Vì x và y là hai \u0111\u1ea1i l\u01b0\u1ee3ng t\u1ec9 l\u1ec7 thu\u1eadn nên<\/p><p><span class=\"math-tex\">$\\dfrac{y_1}{x_1}=\\dfrac{y_2}{x_2}=\\dfrac{y_1+y_2}{x_1+x_2}=\\dfrac{50}{10}=5$<\/span><\/p><p>V\u1eady y t\u1ec9 l\u1ec7 thu\u1eadn v\u1edbi x theo h\u1ec7 s\u1ed1 t\u1ec9 l\u1ec7 là 5 hay y = 5x<\/p><p>Khi x = 4 thì y = 5 . 4 = 20<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"> <strong>B.<\/strong> y = 20<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-05-30 08:57:57","option_type":"txt","len":0}]}