C\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb\u00a0m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn m\u1ed9t m\u1eb7t ph\u1eb3ng, \u0111\u1ebfn m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng.<\/h2>\n

\n
1. \n

   \u0110\u1ecbnh ngh\u0129a kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn m\u1ed9t m\u1eb7t ph\u1eb3ng, \u0111\u1ebfn m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng.<\/h3>\n<\/li>\n<\/ol>\n

   Kho\u1ea3ng c\u00e1ch t\u1eeb 1 \u0111i\u1ec3m M \u0111\u1ebfn m\u1ed9t m\u1eb7t ph\u1eb3ng (P) (ho\u1eb7c \u0111\u1ebfn \u0111\u01b0\u1eddng th\u1eb3ng\u00a0\u2206) l\u00e0 kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 H, trong \u0111\u00f3 H l\u00e0 h\u00ecnh chi\u1ebfu c\u1ee7a \u0111i\u1ec3m M tr\u00ean m\u1eb7t ph\u1eb3ng (P) (h.a), k\u00ed hi\u1ec7u l\u00e0 d(M, (P)) (ho\u1eb7c tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng\u00a0\u2206, k\u00ed hi\u1ec7u l\u00e0 d(M,\u00a0\u2206) (h.b)).<\/p>\n

   <\/p>\n

   2. C\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn m\u1ed9t m\u1eb7t ph\u1eb3ng, \u0111\u1ebfn m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng.<\/h3>\n

   \n
   • C\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn m\u1ed9t m\u1eb7t ph\u1eb3ng<\/li>\n<\/ul>\n

     Cho \u0111i\u1ec3m M_{0<\/sub> v\u00e0 m\u1eb7t ph\u1eb3ng (P). G\u1ecdi H l\u00e0 h\u00ecnh chi\u1ebfu c\u1ee7a \u0111i\u1ec3m M0<\/sub> l\u00ean m\u1eb7t ph\u1eb3ng (P).<\/p>\n}

     <\/p>\n

     Kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m M_{0<\/sub> t\u1edbi m\u1eb7t ph\u1eb3ng (P):<\/p>\n}

     d(M_{0<\/sub>,(P)) = M0<\/sub>H<\/p>\n}

     \n
     • C\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch gi\u1eefa 2 m\u1eb7t ph\u1eb3ng song song:<\/li>\n<\/ul>\n

       Kho\u1ea3ng c\u00e1ch gi\u1eefa hai m\u1eb7t ph\u1eb3ng song song l\u00e0 kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111i\u1ec3m b\u1ea5t k\u00ec c\u1ee7a m\u1eb7t ph\u1eb3ng n\u00e0y \u0111\u1ebfn m\u1eb7t ph\u1eb3ng kia.<\/p>\n

       <\/p>\n

       <\/p>\n

       \n
       • C\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb 1 \u0111i\u1ec3m \u0111\u1ebfn 1 \u0111\u01b0\u1eddng th\u1eb3ng<\/li>\n<\/ul>\n

         Trong m\u1eb7t ph\u1eb3ng (Oxy), Cho \u0111i\u1ec3m M_{0<\/sub>(x0,<\/sub>y0 <\/sub>) v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng (d) c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh:<\/p>\n}

         Ax + By + C = 0<\/p>\n

         <\/p>\n

         <\/p>\n

          <\/p>\n

          <\/p>\n

         \n
         • C\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn m\u1ed9t m\u1eb7t ph\u1eb3ng trong kh\u00f4ng gian<\/li>\n<\/ul>\n

           Trong kh\u00f4ng gian (Oxyz), Cho \u0111i\u1ec3m M_{0<\/sub>(x0,<\/sub>y0,<\/sub>z0 <\/sub>) v\u00e0 m\u1eb7t ph\u1eb3ng (a) c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh:<\/p>\n}

           Ax + By + Cz + D = 0<\/p>\n

           <\/p>\n

           <\/p>\n

            <\/p>\n

           V\u00ed d\u1ee5 1:<\/strong><\/em><\/p>\n

           Cho \u0111i\u1ec3m A(-2,1,3) v\u00e0 m\u1eb7t ph\u1eb3ng (P) : 3x – 4z + 3 = 0. T\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb A t\u1edbi (P).<\/p>\n

           B\u00e0i gi\u1ea3i:<\/em><\/p>\n

           Kho\u1ea3ng c\u00e1ch t\u1eeb A t\u1edbi (P) l\u00e0<\/p>\n

           <\/p>\n

           V\u00ed d\u1ee5 2:<\/strong><\/em> Cho hai m\u1eb7t ph\u1eb3ng c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh l\u1ea7n l\u01b0\u1ee3t l\u00e0:<\/p>\n

           3x-y+2z-6 = 0 v\u00e0 6x-2y+4z+4 = 0<\/p>\n

           \n
           1. a) CMR hai m\u1eb7t ph\u1eb3ng n\u00e0y song song v\u1edbi nhau.<\/li>\n
           2. b) T\u00ednh kho\u1ea3ng c\u00e1ch gi\u1eefa hai m\u1eb7t ph\u1eb3ng n\u00e0y.<\/li>\n
           3. c) T\u00ecm t\u1eadp h\u1ee3p \u0111i\u1ec3m c\u00e1ch \u0111\u1ec1u hai m\u1eb7t ph\u1eb3ng n\u00e0y<\/li>\n<\/ol>\n

              B\u00e0i gi\u1ea3i<\/em><\/p>\n

              a) Ta c\u00f3:<\/p>\n

              <\/p>\n

              <\/p>\n

              <\/p>\n

              B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng:<\/strong><\/em><\/p>\n

              B\u00e0i 1:<\/em><\/p>\n

              Cho t\u1ee9 di\u1ec7n OABC c\u00f3 3 c\u1ea1nh OA, OB, OC \u0111\u00f4i m\u1ed9t vu\u00f4ng g\u00f3c, OA = a, OB = b, OB = c. T\u00ednh \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng cao c\u1ee7a t\u1ee9 di\u1ec7n k\u1ebb t\u1eeb O.<\/p>\n

              <\/p>\n

              B\u00e0i 2:<\/em><\/p>\n

              Cho h\u00ecnh l\u1eadp ph\u01b0\u01a1ng ABCD.A\u2019B\u2019C\u2019D\u2019 c\u1ea1nh a. Tr\u00ean c\u00e1ch c\u1ea1nh AA\u2019, BC, C\u2019D\u2019 l\u1ea7n l\u01b0\u1ee3t l\u1ea5y c\u00e1c \u0111i\u1ec3m M,N,P sao cho AM = CN = D\u2019P = t v\u1edbi 0<t<a.<\/p>\n

              \n
              1. a) CMR mp(MNP) \/\/ mp(ACD\u2019).<\/li>\n
              2. b) T\u00ednh kho\u1ea3ng c\u00e1ch gi\u1eefa 2 mp n\u00e0y.<\/li>\n<\/ol>\n

                 <\/p>\n

                 Tr\u00ean \u0111\u00e2y l\u00e0 c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn m\u1ed9t m\u1eb7t ph\u1eb3ng, \u0111\u1ebfn m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng. C\u00e1c em c\u00f9ng tham kh\u1ea3o nh\u00e9.<\/p>\n

                 Ch\u00fac c\u00e1c em h\u1ecdc t\u1ed1t!<\/p>\n

                  <\/p>\n","protected":false},"excerpt":{"rendered":"

                 C\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb\u00a0m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn m\u1ed9t m\u1eb7t ph\u1eb3ng, \u0111\u1ebfn m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng. \u0110\u1ecbnh ngh\u0129a kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn m\u1ed9t m\u1eb7t ph\u1eb3ng, \u0111\u1ebfn m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng…. <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[450,1,469,408],"tags":[589,585,584,586,583,588,581,579,580,587,582],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/posts\/6689"}],"collection":[{"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/comments?post=6689"}],"version-history":[{"count":0,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/posts\/6689\/revisions"}],"wp:attachment":[{"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/media?parent=6689"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/categories?post=6689"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/onthitot.com\/wp-json\/wp\/v2\/tags?post=6689"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}