{"id":2675,"date":"2021-10-14T21:20:35","date_gmt":"2021-10-14T14:20:35","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=2675"},"modified":"2021-10-14T22:11:08","modified_gmt":"2021-10-14T15:11:08","slug":"kien-thuc-ve-ta%cc%a3p-ho%cc%a3p-q-cac-so-hu%cc%83u-ti%cc%89-gioi-toan-lop-7","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/kien-thuc-ve-ta%cc%a3p-ho%cc%a3p-q-cac-so-hu%cc%83u-ti%cc%89-gioi-toan-lop-7\/","title":{"rendered":"Ki\u00ea\u0301n th\u01b0\u0301c v\u00ea\u0300 T\u00e2\u0323p h\u01a1\u0323p Q ca\u0301c s\u00f4\u0301 h\u01b0\u0303u ti\u0309 \u2013 Gi\u1ecfi to\u00e1n l\u1edbp 7"},"content":{"rendered":"\n<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n<p>\u01a0\u0309 ca\u0301c n\u0103m ho\u0323c tr\u01b0\u01a1\u0301c, ca\u0301c ba\u0323n ho\u0323c sinh \u0111a\u0303 \u0111\u01b0\u01a1\u0323c ti\u00ea\u0301p xu\u0301c v\u01a1\u0301i s\u00f4\u0301 t\u01b0\u0323 nhi\u00ean, s\u00f4\u0301 nguy\u00ean \u00e2m,\u2026 Trong ch\u01b0\u01a1ng tri\u0300nh Toa\u0301n 7, ca\u0301c ba\u0323n ho\u0323c sinh se\u0303 \u0111\u01b0\u01a1\u0323c la\u0300m quen v\u01a1\u0301i kha\u0301i ni\u00ea\u0323m s\u00f4\u0301 h\u01b0\u0303u ti\u0309. \u0110\u00e2y la\u0300 m\u00f4\u0323t trong ca\u0301c kha\u0301i ni\u00ea\u0323m c\u01a1 ba\u0309n y\u00eau c\u00e2\u0300u ca\u0301c ba\u0323n ho\u0323c sinh c\u00e2\u0300n hi\u00ea\u0309u ro\u0303. S\u00f4\u0301 h\u01b0\u0303u ti\u0309 la\u0300 gi\u0300? T\u00e2\u0301t ca\u0309 ca\u0301c ki\u00ea\u0301n th\u01b0\u0301c va\u0300 ba\u0300i t\u00e2\u0323p li\u00ean quan v\u00ea\u0300 t\u00e2\u0323p h\u01a1\u0323p Q s\u00f4\u0301 h\u01b0\u0303u ti\u0309 se\u0303 \u0111\u01b0\u01a1\u0323c Vietlearn t\u00f4\u0309ng h\u01a1\u0323p trong ba\u0300i vi\u00ea\u0301t sau:<\/p>\n\n\n\n<p>T\u00f4\u0309ng quan ki\u00ea\u0301n th\u01b0\u0301c<\/p>\n\n\n\n<p>Kha\u0301i ni\u00ea\u0323m<\/p>\n\n\n\n<p>S\u00f4\u0301 h\u01b0\u0303u ti\u0309 la\u0300 ca\u0301ch vi\u00ea\u0301t kha\u0301c nhau cu\u0309a cu\u0300ng m\u00f4\u0323t ph\u00e2n s\u00f4\u0301. M\u00f4\u0323t ph\u00e2n s\u00f4\u0301 co\u0301 th\u00ea\u0309 vi\u00ea\u0301t d\u01b0\u01a1\u0301i nhi\u00ea\u0300u da\u0323ng ph\u00e2n s\u00f4\u0301 kha\u0301c nhau nh\u01b0ng gia\u0301 tri\u0323 b\u0103\u0300ng nhau.<\/p>\n\n\n\n<p>Da\u0323ng bi\u00ea\u0309u di\u00ea\u0303n cu\u0309a s\u00f4\u0301 h\u01b0\u0303u ti\u0309 la\u0300 a\/b trong \u0111o\u0301 b kha\u0301c 0, a va\u0300 b thu\u00f4\u0323c Z.<\/p>\n\n\n\n<p>Ki\u0301 hi\u00ea\u0323u: t\u00e2\u0323p h\u01a1\u0323p ca\u0301c s\u00f4\u0301 h\u01b0\u0303u ti\u0309 la\u0300 Q<\/p>\n\n\n\n<p>Vi\u0301 du\u0323: 2, 1\/3, -6\/7, 9\/3, 4\/5,\u2026. la\u0300 ca\u0301c s\u00f4\u0301 h\u01b0\u0303u ti\u0309.<\/p>\n\n\n\n<p>2 = 4\/2 = 6\/3 = 8\/4 = 10\/5 =\u2026<\/p>\n\n\n\n<p>1\/3 = 2\/6 = 3\/9 = 4\/12 = 5\/15 =\u2026<\/p>\n\n\n\n<p>-6\/7 = -12\/14 = -24\/28 = -48\/56 =\u2026<\/p>\n\n\n\n<p>9\/3 = 3 = 27\/9 = 36\/12 =\u2026<\/p>\n\n\n\n<p>4\/5 = 8\/10 = 16\/20 = 12\/15 =\u2026<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>\u0110o\u0323c th\u00eam: Ho\u0323c Toa\u0301n 7 cu\u0300ng Vietlearn: Phe\u0301p nh\u00e2n, chia s\u00f4\u0301 h\u01b0\u0303u ti\u0309<\/p><\/blockquote>\n\n\n\n<p>Bi\u00ea\u0309u di\u00ea\u0303n tr\u00ean tru\u0323c s\u00f4\u0301<\/p>\n\n\n\n<p>Ca\u0301ch bi\u00ea\u0309u di\u00ea\u0303n s\u00f4\u0301 h\u01b0\u0303u ti\u0309 a\/b ( a va\u0300 b thu\u00f4\u0323c Z, b kha\u0301c 0) tr\u00ean tru\u0323c s\u00f4\u0301:<\/p>\n\n\n\n<p>B\u01b0\u01a1\u0301c 1: Chia \u0111oa\u0323n \u0111\u01a1n vi\u0323 [0; 1] tr\u00ean tru\u0323c s\u00f4\u0301 tha\u0300nh b ph\u00e2\u0300n b\u0103\u0300ng nhau. Ta co\u0301 m\u00f4\u0323t ph\u00e2\u0300n la\u0300 1\/b la\u0300 \u0111\u01a1n vi\u0323 m\u01a1\u0301i.<\/p>\n\n\n\n<p>B\u01b0\u01a1\u0301c 2: Xe\u0301t tr\u01b0\u01a1\u0300ng h\u01a1\u0323p:<\/p>\n\n\n\n<p>a &gt; 0 thi\u0300 \u0111i\u00ea\u0309m bi\u00ea\u0309u di\u00ea\u0303n a\/b n\u0103\u0300m b\u00ean pha\u0309i 0, ca\u0301ch 0 m\u00f4\u0323t khoa\u0309ng a l\u00e2\u0300n \u0111\u01a1n vi\u0323 m\u01a1\u0301i.<\/p>\n\n\n\n<p>a&lt; 0 thi\u0300 \u0111i\u00ea\u0309m bi\u00ea\u0309u di\u00ea\u0303n a\/b n\u0103\u0300m b\u00ean tra\u0301i 0, ca\u0301ch 0 m\u00f4\u0323t khoa\u0309ng |a| l\u00e2\u0300n \u0111\u01a1n vi\u0323 m\u01a1\u0301i.<\/p>\n\n\n\n<p>\u0110i\u00ea\u0309m bi\u00ea\u0309u di\u00ea\u0303n a\/b \u0111\u01b0\u01a1\u0323c go\u0323i la\u0300 \u0111i\u00ea\u0309m a\/b.<\/p>\n\n\n\n<p>Vi\u0301 du\u0323: Bi\u00ea\u0309u di\u00ea\u0303n 4\/3 tr\u00ean tru\u0323c s\u00f4\u0301:<\/p>\n\n\n\n<p>B\u01b0\u01a1\u0301c 1: Ta chia tru\u0323c s\u00f4\u0301 tha\u0300nh 3 ph\u00e2\u0300n b\u0103\u0300ng nhau. Cho\u0323n 1 \u0111oa\u0323n la\u0300m \u0111\u01a1n vi\u0323 m\u01a1\u0301i b\u0103\u0300ng 1\/3 \u0111\u01a1n vi\u0323 cu\u0303.<\/p>\n\n\n\n<p>B\u01b0\u01a1\u0301c 2: Ta bi\u00ea\u0309u di\u00ea\u0303n s\u00f4\u0301 h\u01b0\u0303u ti\u0309 4\/3 b\u0103\u0300ng \u0111i\u00ea\u0309m M. Bi\u00ea\u0301t 4 &gt; 0 =&gt; M n\u0103\u0300m b\u00ean pha\u0309i tru\u0323c s\u00f4\u0301 va\u0300 ca\u0301ch \u0111i\u00ea\u0309m 0 m\u00f4\u0323t khoa\u0309ng b\u0103\u0300ng 4 \u0111\u01a1n vi\u0323<\/p>\n\n\n\n<p>So sa\u0301nh s\u00f4\u0301 h\u01b0\u0303u ti\u0309<\/p>\n\n\n\n<p>So sa\u0301nh s\u00f4\u0301 h\u01b0\u0303u ti\u0309 x va\u0300 y ta th\u01b0\u0323c hi\u00ea\u0323n ca\u0301c b\u01b0\u01a1\u0301c sau:<\/p>\n\n\n\n<p>\u0110\u01b0a x va\u0300 y v\u00ea\u0300 da\u0323ng ph\u00e2n s\u00f4\u0301 cu\u0300ng m\u00e2\u0303u s\u00f4\u0301 x = a\/m, y=b\/m (m &gt; 0).<\/p>\n\n\n\n<p>So sa\u0301nh ca\u0301c t\u01b0\u0309 s\u00f4\u0301 v\u01a1\u0301i nhau. Xe\u0301t ca\u0301c tr\u01b0\u01a1\u0300ng h\u01a1\u0323p:<\/p>\n\n\n\n<p>a &gt; b =&gt; a\/m &gt; b\/m =&gt; x &gt; y<\/p>\n\n\n\n<p>a &lt; b =&gt; a\/m &lt; b\/m =&gt; x &lt; y<\/p>\n\n\n\n<p>a = b =&gt; a\/m = b\/m =&gt; x = y<\/p>\n\n\n\n<p>Vi\u0301 du\u0323 minh ho\u0323a: So sa\u0301nh 2\/3 va\u0300 -4\/5<\/p>\n\n\n\n<p>Ta co\u0301:<\/p>\n\n\n\n<p>2\/3 = 10\/15<\/p>\n\n\n\n<p>-4\/5 = -12\/15<\/p>\n\n\n\n<p>Ma\u0300 10 &gt; -12<\/p>\n\n\n\n<p>=&gt; 10\/15 &gt; -12\/15<\/p>\n\n\n\n<p>=&gt; 2\/3 &gt; -4\/5<\/p>\n\n\n\n<p>L\u01b0u y\u0301<\/p>\n\n\n\n<p>S\u00f4\u0301 h\u01b0\u0303u ti\u0309 \u00e2m la\u0300 s\u00f4\u0301 nho\u0309 h\u01a1n 0.<\/p>\n\n\n\n<p>S\u00f4\u0303 h\u01b0\u0303u ti\u0309 d\u01b0\u01a1ng la\u0300 s\u00f4\u0301 l\u01a1\u0301n h\u01a1n 0.<\/p>\n\n\n\n<p>S\u00f4\u0301 0 kh\u00f4ng la\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309 \u00e2m cu\u0303ng kh\u00f4ng la\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309 d\u01b0\u01a1ng.<\/p>\n\n\n\n<p>Ba\u0300i t\u00e2\u0323p v\u00e2\u0323n du\u0323ng<\/p>\n\n\n\n<p>Ba\u0300i 1:So s\u00e1nh c\u00e1c s\u1ed1 h\u1eefu t\u1ec9 sau b\u1eb1ng c\u00e1ch nhanh nh\u1ea5t:<\/p>\n\n\n\n<p>a. -231\/232 v\u00e0 -1321\/1320<\/p>\n\n\n\n<p>b. -13\/38 v\u00e0 29\/-88<\/p>\n\n\n\n<p>c. -1\/3 v\u00e0 1\/100<\/p>\n\n\n\n<p>L\u01a1\u0300i gi\u1ea3i:<\/p>\n\n\n\n<p>a. Ta c\u00f3:<\/p>\n\n\n\n<p>-231\/232 &lt; 1 &lt; -1321\/1320<\/p>\n\n\n\n<p>=&gt; -231\/232 &lt; -1321\/1320<\/p>\n\n\n\n<p>b. Ta c\u00f3: 13\/38 &gt; 13\/39 = 1\/3 = 29\/87 &gt; 29\/88<\/p>\n\n\n\n<p>=&gt; -13\/38 &lt; 29\/-88<\/p>\n\n\n\n<p>c. Ta c\u00f3:<\/p>\n\n\n\n<p>-1\/3 &lt; 0 &lt; 1\/100<\/p>\n\n\n\n<p>=&gt; -1\/3 &lt; 1\/100<\/p>\n\n\n\n<p>Ba\u0300i 2: T\u00ecm x thu\u00f4\u0323c t\u00e2\u0323p h\u01a1\u0323p Q, bi\u1ebft r\u1eb1ng x l\u00e0 s\u1ed1 \u00e2m l\u1edbn nh\u1ea5t \u0111\u01b0\u1ee3c vi\u1ebft b\u1eb1ng 3 ch\u1eef s\u1ed1 1.<\/p>\n\n\n\n<p>L\u01a1\u0300i gi\u1ea3i:<\/p>\n\n\n\n<p>C\u00e1c s\u1ed1 h\u1eefu t\u1ec9 \u00e2m \u0111\u01b0\u1ee3c vi\u1ebft b\u1eb1ng 3 ch\u1eef s\u1ed1 1 l\u00e0:<\/p>\n\n\n\n<p>-111; -1\/11; -11\/1<\/p>\n\n\n\n<p>Ta c\u00f3: -111 &lt; -11 hay -111 &lt; -11\/1 (1)<\/p>\n\n\n\n<p>L\u1ea1i c\u00f3: -11\/1 = -121\/11 &lt; -1\/11 (v\u00ec -121 &lt; -1) (2)<\/p>\n\n\n\n<p>T\u1eeb (1) v\u00e0 (2) -111&lt; -11\/1&lt; -1\/11<\/p>\n\n\n\n<p>V\u1eady s\u1ed1 x c\u1ea7n t\u00ecm l\u00e0 -1\/11.<\/p>\n\n\n\n<p>Ba\u0300i 3: Bi\u00ea\u0309u di\u00ea\u0303n ca\u0301c \u0111i\u00ea\u0309m A, B, C tr\u00ean tru\u0323c s\u00f4\u0301 bi\u00ea\u0301t A = -1, B = 1, C = 2<\/p>\n\n\n\n<p>L\u01a1\u0300i gia\u0309i:<\/p>\n\n\n\n<p>A = -1 =&gt; A n\u0103\u0300m b\u00ean tra\u0301i \u0111i\u00ea\u0309m 0. A ca\u0301ch \u0111i\u00ea\u0309m 0 m\u00f4\u0323t khoa\u0309ng b\u0103\u0300ng 1 \u0111\u01a1n vi\u0323.<\/p>\n\n\n\n<p>B = 1 =&gt; B n\u0103\u0300m b\u00ean pha\u0309i \u0111i\u00ea\u0309m 0. B ca\u0301ch \u0111i\u00ea\u0309m 0 m\u00f4\u0323t khoa\u0309ng 1 \u0111\u01a1n vi\u0323.<\/p>\n\n\n\n<p>C = 2 =&gt; C n\u0103\u0300m b\u00ean pha\u0309i \u0111i\u00ea\u0309m 0. C ca\u0301ch \u0111i\u00ea\u0309m 0 m\u00f4\u0323t khoa\u0309ng 2 \u0111\u01a1n vi\u0323.<\/p>\n\n\n\n<p>Ba\u0300i t\u00e2\u0323p co\u0301 ba\u0309n<\/p>\n\n\n\n<p>Ba\u0300i 1: Cho ca\u0301c s\u00f4\u0301 h\u01b0\u0303u ti\u0309 sau: 1\/2 , 0 , -5\/3, 4\/5, -8\/4 , 78\/99, 12\/100, -5\/6<\/p>\n\n\n\n<p>a. S\u00f4\u0301 na\u0300o la\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309 \u00e2m?<\/p>\n\n\n\n<p>b. S\u00f4\u0301 na\u0300o la\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309 d\u01b0\u01a1ng?<\/p>\n\n\n\n<p>c. S\u00f4\u0301 na\u0300o kh\u00f4ng la\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309 \u00e2m, kh\u00f4ng la\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309 d\u01b0\u01a1ng?<\/p>\n\n\n\n<p>L\u01a1\u0300i gia\u0309i:<\/p>\n\n\n\n<p>a. S\u00f4\u0301 h\u01b0\u0303u ti\u0309 \u00e2m la\u0300: -5\/3, -8\/4, -5\/6<\/p>\n\n\n\n<p>b. S\u00f4\u0301 h\u01b0\u0303u ti\u0309 d\u01b0\u01a1ng la\u0300: 1\/2, 4\/5, 78\/99, 12\/100<\/p>\n\n\n\n<p>c. 0 kh\u00f4ng la\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309 \u00e2m, kh\u00f4ng la\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309 d\u01b0\u01a1ng.<\/p>\n\n\n\n<p>Ba\u0300i 2: Gia\u0309i thi\u0301ch li\u0301 do ca\u0301c s\u00f4\u0301: 6, 5\/2, -3\/8, 2\/7 la\u0300 ca\u0301c s\u00f4\u0301 h\u01b0\u0303u ti\u0309.<\/p>\n\n\n\n<p>L\u01a1\u0300i gia\u0309i:<\/p>\n\n\n\n<p>Ca\u0301c s\u00f4\u0301 6, 5\/2, -3\/8, 2\/7 la\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309 vi\u0300 co\u0301 th\u00ea\u0309 bi\u00eau di\u00ea\u0303n d\u01b0\u01a1\u0301i da\u0323ng ph\u00e2 s\u00f4\u0301 a\/b ( a va\u0300 b thu\u00f4\u0323c Z, b kha\u0301c 0).<\/p>\n\n\n\n<p>6 = 12\/2 = 18\/3 = 24\/4 =\u2026<\/p>\n\n\n\n<p>5\/2 = 10\/4 = 15\/6 = 25\/10 = \u2026<\/p>\n\n\n\n<p>-3\/8 = -6\/18 = -12\/ 32 = -15\/40 = \u2026<\/p>\n\n\n\n<p>2\/7 = 4\/14 = 6\/21 = 8\/28 = \u2026<\/p>\n\n\n\n<p>Bi\u0301 quy\u00ea\u0301t \u0111\u00ea\u0309 ho\u0323c gio\u0309i l\u01a1\u0301p 7<\/p>\n\n\n\n<p>Xa\u0301c \u0111i\u0323nh mu\u0323c ti\u00eau<\/p>\n\n\n\n<p>Tr\u01b0\u01a1\u0301c ti\u00ean, ca\u0301c ba\u0323n ho\u0323c sinh c\u00e2\u0300n tra\u0309 l\u01a1\u0300i c\u00e2u ho\u0309i \u201cHo\u0323c \u0111\u00ea\u0309 la\u0300m gi\u0300?\u201d \u0110\u00e2y la\u0300 c\u00e2u ho\u0309i kh\u00f4ng da\u0300nh ri\u00eang gi\u0300 cho ho\u0323c sinh l\u01a1\u0301p 7 ma\u0300 co\u0300n cho ca\u0301c ho\u0323c sinh, sinh vi\u00ean \u01a1\u0309 ca\u0301c c\u00e2\u0301p, ca\u0301c b\u00e2\u0323c ho\u0323c kha\u0301c. Hi\u00ea\u0309u \u0111\u01b0\u01a1\u0323c mu\u0323c \u0111i\u0301ch cu\u0309a vi\u00ea\u0323c ho\u0323c chu\u0301ng ta m\u01a1\u0301i co\u0301 quy\u00ea\u0301t t\u00e2m, \u0111\u00f4\u0323ng l\u01b0\u0323c \u0111\u00ea\u0309 ho\u0323c. L\u01a1\u0301p 7, ca\u0301c ba\u0323n ho\u0323c sinh \u0111a ph\u00e2\u0300n \u0111\u00ea\u0300u ch\u01b0a hi\u00ea\u0309u hay xa\u0301c \u0111i\u0323nh ro\u0303 \u0111\u01b0\u01a1\u0323c mu\u0323c \u0111i\u0301ch ho\u0323c t\u00e2\u0323p cu\u0309a mi\u0300nh. Vi\u0300 v\u00e2\u0323y, ca\u0301c ba\u0323n th\u01b0\u01a1\u0300ng kh\u00f4ng t\u00e2\u0323p trung hay da\u0300nh s\u01b0\u0323 \u01b0u ti\u00ean cho vi\u00ea\u0323c ho\u0323c. Ca\u0301c tro\u0300 ch\u01a1i, vi\u00ea\u0323c \u0103n, ngu\u0309,\u2026 se\u0303 co\u0301 s\u01b0\u0301c h\u00e2\u0301p d\u00e2\u0303n l\u01a1\u0301n h\u01a1n.<\/p>\n\n\n\n<p>Ca\u0301c vi\u0323 phu\u0323 huynh c\u00e2\u0300n giu\u0301p con xa\u0301c \u0111i\u0323nh mu\u0323c ti\u00eau va\u0300 \u0111i\u0323nh h\u01b0\u01a1\u0301ng ho\u0323c t\u00e2\u0323p t\u01b0\u0300 s\u01a1\u0301m. \u0110i\u00ea\u0300u na\u0300y se\u0303 giu\u0301p i\u0301ch r\u00e2\u0301t nhi\u00ea\u0300u cho qua\u0301 tri\u0300nh ho\u0323c t\u00e2\u0323p. Ca\u0301c con se\u0303 h\u01b0\u0301ng thu\u0301 va\u0300 t\u01b0\u0323 gia\u0301c ho\u0323c h\u01a1n khi hi\u00ea\u0309u \u0111\u01b0\u01a1\u0323c mu\u0323c ti\u00eau cu\u0309a mi\u0300nh.<\/p>\n\n\n\n<p>H\u1ecdc t\u1ed1t l\u1edbp 7<\/p>\n\n\n\n<p>Y\u0301 nghi\u0303a cu\u0309a ho\u0323c t\u00e2\u0323p<\/p>\n\n\n\n<p>\u0110\u00ea\u0309 ha\u0323n ch\u00ea\u0301 ca\u0301c suy nghi\u0303 ti\u00eau c\u01b0\u0323c, cha\u0301n na\u0309n trong ho\u0323c t\u00e2\u0323p. Vietlearn se\u0303 chi\u0309 cho ba\u0323n ca\u0301c y\u0301 nghi\u0303a cu\u0309a vi\u00ea\u0323c ho\u0323c:<\/p>\n\n\n\n<p>Ho\u0323c \u0111\u00ea\u0309 t\u01b0\u0323 n\u00e2ng c\u00e2\u0301p ba\u0309n th\u00e2n. Ho\u0323c \u0111\u00ea\u0309 giu\u0301p cho chi\u0301nh ba\u0309n th\u00e2n mi\u0300nh. Xa\u0303 h\u00f4\u0323i nga\u0300y ca\u0300ng pha\u0301t tri\u00ea\u0309n ti\u00ea\u0301n b\u00f4\u0323. N\u00ea\u0301u chu\u0301ng ta kh\u00f4ng chi\u0323u ho\u0323c ho\u0309i, n\u00e2ng c\u00e2\u0301p ba\u0309n th\u00e2n r\u00e2\u0301t d\u00ea\u0303 bi\u0323 bo\u0309 la\u0323i, r\u01a1i va\u0300o ti\u0300nh tra\u0323ng tu\u0323t h\u00e2\u0323u. Kh\u00f4ng ai mu\u00f4\u0301n ba\u0309n th\u00e2n bi\u0323 la\u0323c h\u00e2\u0323u so v\u01a1\u0301i xa\u0303 h\u00f4\u0323i. \u0110\u00ea\u0309 kh\u00f4ng xa\u0309y ra \u0111i\u00ea\u0300u \u0111o\u0301 chu\u0301ng ta c\u00e2\u0300n ho\u0323c.<\/p>\n\n\n\n<p>Co\u0301 m\u00f4\u0323t s\u00f4\u0301 quan \u0111i\u00ea\u0309m cho r\u0103\u0300ng ho\u0323c t\u00e2\u0323p kh\u00f4ng pha\u0309i ca\u0301ch duy nh\u00e2\u0301t \u0111\u00ea\u0309 tha\u0300nh c\u00f4ng. Nh\u01b0ng th\u01b0\u0323c t\u00ea\u0301 ch\u01b0\u0301ng mi\u0300nh r\u0103\u0300ng ho\u0323c t\u00e2\u0323p la\u0300 con \u0111\u01b0\u01a1\u0300ng ng\u0103\u0301n nh\u00e2\u0301t giu\u0301p ba\u0323n t\u01a1\u0301i tha\u0300nh c\u00f4ng. Mo\u0323i c\u00f4ng vi\u00ea\u0323c, \u01b0\u01a1\u0301c m\u01a1 se\u0303 tha\u0300nh c\u00f4ng va\u0300 d\u00ea\u0303 da\u0300ng th\u01b0\u0323c hi\u00ea\u0323n khi ba\u0323n co\u0301 ki\u00ea\u0301n th\u01b0\u0301c. Ba\u0323n g\u0103\u0323p kho\u0301 kh\u0103n t\u01b0\u0301c la\u0300 ba\u0323n ho\u0323c ch\u01b0a \u0111u\u0309, c\u00e2\u0300n ti\u00ea\u0301p tu\u0323c ho\u0323c th\u00eam.<\/p>\n\n\n\n<p>M\u00f4\u0323t y\u0301 nghi\u0303a l\u01a1\u0301n lao h\u01a1n cu\u0309a vi\u00ea\u0323c ho\u0323c \u0111o\u0301 la\u0300 ho\u0323c \u0111\u00ea\u0309 c\u00f4\u0301ng hi\u00ea\u0301n. Ho\u0323c \u0111\u00ea\u0309 go\u0301p ph\u00e2\u0300n x\u00e2y d\u01b0\u0323ng \u0111\u00e2\u0301t n\u01b0\u01a1\u0301c. Trong li\u0323ch s\u01b0\u0309, ch\u01b0a co\u0301 qu\u00f4\u0301c gia na\u0300o tri\u0300nh \u0111\u00f4\u0323 d\u00e2n tri\u0301, tri\u0300nh \u0111\u00f4\u0323 gia\u0301o du\u0323c th\u00e2\u0301p ma\u0300 co\u0301 th\u00ea\u0309 pha\u0301t tri\u00ea\u0309n \u0111\u01b0\u01a1\u0323c. Ba\u0323n co\u0301 mu\u00f4\u0301n s\u00f4\u0301ng \u01a1\u0309m\u00f4\u0323t \u0111\u00e2\u0301t n\u01b0\u01a1\u0301c tri\u0300nh \u0111\u00f4\u0323 d\u00e2n tri\u0301 th\u00e2\u0301p?<\/p>\n\n\n\n<p>L\u01a1\u0300i k\u00ea\u0301t<\/p>\n\n\n\n<p>Vietlearn hy vo\u0323ng v\u01a1\u0301i ba\u0300i vi\u00ea\u0301t tr\u00ean \u0111a\u0303 cung c\u00e2\u0301p cho ca\u0301c ba\u0323n ho\u0323c sinh th\u00f4ng tin h\u01b0\u0303u i\u0301ch v\u00ea\u0300 t\u00e2\u0323p h\u01a1\u0323p Q s\u00f4\u0301 h\u01b0\u0303u ti\u0309 cu\u0300ng bi\u0301 quy\u00ea\u0301t \u0111\u00ea\u0309 ho\u0323c t\u00f4\u0301t Toa\u0301n 7. Ghe\u0301 qua blog cu\u0309a Vietlearn \u0111\u00ea\u0309 \u0111o\u0323c th\u00eam ca\u0301c ba\u0300i vi\u00ea\u0301t h\u00e2\u0301p d\u00e2\u0303n v\u00ea\u0300 bi\u0301 ki\u0301p ho\u0323c t\u00e2\u0323p, chinh phu\u0323c ca\u0301c ki\u00ea\u0301n th\u01b0\u0301c kho\u0301 nh\u0103\u0300n hay tra\u0309i nghi\u00ea\u0323m b\u00f4\u0323 ta\u0300i li\u00ea\u0323u mi\u00ea\u0303n phi\u0301 c\u01b0\u0323c ch\u00e2\u0301t.<\/p>\n\n\n\n<p>Hi\u00ea\u0323n nay, Vietlearn \u0111ang cung c\u00e2\u0301p kho\u0301a ho\u0323c tr\u01b0\u0323c tuy\u00ea\u0301n K12 da\u0300nh cho ca\u0301c ba\u0323n ho\u0323c sinh t\u01b0\u0300 l\u01a1\u0301p 1 \u0111\u00ea\u0301n l\u01a1\u0301p 12 ca\u0301c m\u00f4n: Toa\u0301n, Ly\u0301, Anh,\u2026 Kho\u0301a ho\u0323c se\u0303 \u0111\u01b0\u01a1\u0323c ca\u0301c nh\u00e2n ho\u0301a phu\u0300 h\u01a1\u0323p v\u01a1\u0301i n\u0103ng l\u01b0\u0323c t\u01b0\u0300ng ba\u0323n d\u01b0\u0323a tr\u00ean ca\u0301c ph\u00e2n ti\u0301ch \u0111a\u0301nh gia\u0301 k\u00ea\u0301t qua\u0309 ho\u0323c t\u00e2\u0323p, ki\u00ea\u0309m tra cu\u0309a c\u00f4ng ngh\u00ea\u0323 AI. Vietlearn t\u01b0\u0323 tin kh\u0103\u0309ng \u0111i\u0323nh sau kho\u0301a ho\u0323c \u0111i\u00ea\u0309m s\u00f4\u0301 va\u0300 n\u0103ng l\u01b0\u0323c ho\u0323c cu\u0309a ca\u0301c ho\u0323c vi\u00ean se\u0303 \u0111\u01b0\u01a1\u0323c ca\u0309i thi\u00ea\u0323n \u0111a\u0301ng k\u00ea\u0309. Ti\u0300m hi\u00ea\u0309u th\u00f4ng tin chi ti\u00ea\u0301t v\u00ea\u0300 kho\u0301a ho\u0323c ta\u0323i \u0111\u00e2y.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Ho\u0323c Toa\u0301n 7 cu\u0300ng Vietlearn: Ly\u0301 thuy\u00ea\u0301t &amp; Ba\u0300i t\u00e2\u0323p c\u00f4\u0323ng tr\u01b0\u0300 s\u00f4\u0301 h\u01b0\u0303u ti\u0309<\/p>\n\n\n\n<p>Ho\u0323c Toa\u0301n 7 cu\u0300ng Vietlearn: Ti\u0301nh ch\u00e2\u0301t cu\u0309a da\u0303y ti\u0309 s\u00f4\u0301 b\u0103\u0300ng nhau<\/p>\n\n\n\n<p>Toa\u0301n 7: S\u00f4\u0301<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn \u01a0\u0309 ca\u0301c n\u0103m ho\u0323c tr\u01b0\u01a1\u0301c, ca\u0301c ba\u0323n ho\u0323c sinh \u0111a\u0303 \u0111\u01b0\u01a1\u0323c ti\u00ea\u0301p xu\u0301c v\u01a1\u0301i s\u00f4\u0301 t\u01b0\u0323 nhi\u00ean, s\u00f4\u0301 nguy\u00ean \u00e2m,\u2026 Trong ch\u01b0\u01a1ng tri\u0300nh Toa\u0301n 7, ca\u0301c ba\u0323n ho\u0323c sinh se\u0303 \u0111\u01b0\u01a1\u0323c la\u0300m quen v\u01a1\u0301i kha\u0301i ni\u00ea\u0323m s\u00f4\u0301 h\u01b0\u0303u ti\u0309. \u0110\u00e2y la\u0300 m\u00f4\u0323t trong ca\u0301c kha\u0301i ni\u00ea\u0323m c\u01a1 ba\u0309n y\u00eau [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[9,4],"tags":[],"class_list":["post-2675","post","type-post","status-publish","format-standard","hentry","category-toan-hoc","category-trung-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/2675","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=2675"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/2675\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=2675"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=2675"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=2675"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}