{"common":{"save":0,"post_id":"5705","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7469","post_id":"5705","mon_id":"1158532","chapter_id":"1158548","question":"<p>Cho tam giác ABC cân t\u1ea1i A, bi\u1ebft góc A có s\u1ed1 \u0111o là 100º. Tính s\u1ed1 \u0111o các góc B và C.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\widehat{B}=\\widehat{C}$<\/span> = 45º","<strong>B.<\/strong> <span class=\"math-tex\">$\\widehat{B}=\\widehat{C}$<\/span> = 30º","<strong>C.<\/strong> <span class=\"math-tex\">$\\widehat{B}=\\widehat{C}$<\/span> = 80º","<strong>D.<\/strong> <span class=\"math-tex\">$\\widehat{B}=\\widehat{C}$<\/span> = 40º"],"correct":"4","level":"2","hint":"<p>Tam giác cân thì có hai góc \u1edf \u0111áy b\u1eb1ng nhau.<\/p>","answer":"<p>Vì tam giác ABC cân t\u1ea1i A nên <span class=\"math-tex\">$\\widehat{B}=\\widehat{C}$<\/span> .<\/p><p>Xét tam giác ABC có <span class=\"math-tex\">$\\widehat{A}+\\widehat{B}+\\widehat{C}=180^0$<\/span><\/p><p>⇒ <span class=\"math-tex\">$\\widehat{B}+\\widehat{C}=180^0 - \\widehat{A}$<\/span><\/p><p> <span class=\"math-tex\">$\\widehat{B}+\\widehat{B}=$<\/span> 180º - 100º<\/p><p> 2 . <span class=\"math-tex\">$\\widehat{B}$<\/span> = 80º<\/p><p>Suy ra <span class=\"math-tex\">$\\widehat{B}$<\/span> = 80º : 2 = 40º<\/p><p>V\u1eady <span class=\"math-tex\">$\\widehat{B}=\\widehat{C}$<\/span> = 40º<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>D.<\/strong> <span class=\"math-tex\">$\\widehat{B}=\\widehat{C}$<\/span> = 40º<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-26 09:30:56","option_type":"math","len":0},{"id":"7470","post_id":"5705","mon_id":"1158532","chapter_id":"1158548","question":"<p>M\u1ed9t tam giác cân có góc \u1edf \u0111\u1ec9nh là 70º thì góc \u1edf \u0111áy có s\u1ed1 \u0111o là<\/p>","options":["<strong>A.<\/strong> 70º","<strong>B.<\/strong> 35º","<strong>C.<\/strong> 65º","<strong>D.<\/strong> 55º"],"correct":"4","level":"2","hint":"<p>N\u1ebfu tam giác cân có góc \u1edf \u0111\u1ec9nh có s\u1ed1 \u0111o b\u1eb1ng aº thì hai góc \u1edf \u0111áy có s\u1ed1 \u0111o là <span class=\"math-tex\">$\\dfrac{180^0-a^0}{2}$<\/span> .<\/p>","answer":"<p>N\u1ebfu tam giác cân có góc \u1edf \u0111\u1ec9nh có s\u1ed1 \u0111o b\u1eb1ng aº thì hai góc \u1edf \u0111áy có s\u1ed1 \u0111o là <span class=\"math-tex\">$\\dfrac{180^0-a^0}{2}$<\/span> .<\/p><p>Áp d\u1ee5ng công th\u1ee9c trên, tam giác cân có góc \u1edf \u0111\u1ec9nh b\u1eb1ng 70º thì hai góc \u1edf \u0111áy có s\u1ed1 \u0111o là <\/p><p><span class=\"math-tex\">$\\dfrac{180^0-a^0}{2}$<\/span> = <span class=\"math-tex\">$\\dfrac{180^0-70^0}{2}$<\/span> = 55º<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"> <strong>D.<\/strong> 55º<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-26 09:35:44","option_type":"txt","len":1},{"id":"7561","post_id":"5705","mon_id":"1158532","chapter_id":"1158548","question":"<p>Tam giác ABC cân t\u1ea1i A có góc B b\u1eb1ng 35º. Tính s\u1ed1 \u0111o góc A.<\/p>","options":["<strong>A.<\/strong> 130º","<strong>B.<\/strong> 110º","<strong>C.<\/strong> 70º","<strong>D.<\/strong> 35º"],"correct":"2","level":"2","hint":"<p>T\u1ed5ng ba góc trong tam giác b\u1eb1ng 180º.<\/p><p>Tam giác cân có hai góc \u1edf \u0111áy b\u1eb1ng nhau.<\/p>","answer":"<p>Vì tam giác ABC cân t\u1ea1i A nên <span class=\"math-tex\">$\\widehat{B}=\\widehat{C}=$<\/span> 35º<\/p><p>Xét tam giác ABC có<\/p><p><span class=\"math-tex\">$\\widehat{A}+\\widehat{B}+\\widehat{C}=$<\/span> 180º<\/p><p><span class=\"math-tex\">$\\widehat{A}+2\\widehat{B}=$<\/span> 180º (vì <span class=\"math-tex\">$\\widehat{B}=\\widehat{C}$<\/span> )<\/p><p>⇒ <span class=\"math-tex\">$\\widehat{A}=180^0-2\\widehat{B}$<\/span> = 180º - 2 . 35º = 110º<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>B.<\/strong> 110º<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-27 07:52:30","option_type":"txt","len":1}]}