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![](https://rs.olm.vn/images/avt/0.png?1311)
a: Trên tia Ox, ta có: OM<ON
nên điểm M nằm giữa hai điểm O và N
=>OM+MN=ON
hay MN=4(cm)
b: ta có: điểm M nằm giữa hai điểm O và N
mà MO=MN
nên M là trung điểm của ON
![](https://rs.olm.vn/images/avt/0.png?1311)
Trên tia Ox lấy hai điểm Mvaf N sao cho OM=6cm,ON=4cm
a)Tính MN
b)Gọ I là trung điểm đoạn thẳng ON.Chứng tỏ N là trung điểm đoạn thẳng IM
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Vì OP và OQ là hai tia đối nhau
nên điểm O nằm giữa hai điểm P và Q
=>PO+OQ=PQ
hay PQ=6(cm)
b: Vì M là trung điểm của PQ
nên PM=PQ/2=3=OQ(cm)
=>OM=1cm
![](https://rs.olm.vn/images/avt/0.png?1311)
Trần lan
Thứ 6, ngày 16/12/2016 12:16:43
Trên tia Ox lấy hai điểm M và N,OM = 3 cm,ON = 5 cm,Trong ba điểm O N M điểm nào nằm giữa hai điểm còn lại,Tính MN,Trên tia NM lấy điểm P sao cho NP = 4 cm,Điểm M có là trung điểm của đoạn thẳng NP không,Toán học Lớp 6,bài tập Toán học Lớp 6,giải bài tập Toán học Lớp 6,Toán học,Lớp 6
![](https://rs.olm.vn/images/avt/0.png?1311)
tren tia ox co
op=5cm
oq=3cm
suy ra oq<op
suy ra diem q nam giua diem o va diem p
suy ra oq+pq=op
suy ra pq=op-oq
suy ra pq=5-3=2cm
ma oq=3cm
suy ra oq>pq
suy ra oq>pq
![](https://rs.olm.vn/images/avt/0.png?1311)
a: MN=1cm
b: MP=1cm
c: P là trung điểm của OM vì P nằm giữa O và M; OP=PM
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Vì OA<OB
nên A nằm giữa O và B
=>OA+AB=OB
=>AB=4cm=OA
=>A là trung điểm của OB
b: MA=4+2=6cm>AB
a)
NP = OP- ON = 5-4 = 1cm
b) MP = OP - OM = 5 - 2 = 3 cm
c)![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxgAAABWCAYAAABMxzDlAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABivSURBVHhe7d0JlBTV2QbgDwVEFAYc9YADhomCcWdTRBEhLiwKMW6IG0YWkT/GuGBUJK5REkUcMJCAC4oRQX6DArLJYlA8EkCQRRZhDC4Ylp9BDyCI9H/frtswS/d0wdcz8xW+zzl9pqu+pnir5k73vV2bxJzZs2fjR0oFBQX+WXLp6qBdRlln1NbBekZtPrCeUVsH6xm1+cB6Ru3ywXpGbR2i3hbDrKP1jNo6WM+ozQfWM2qXD9YzausQ9bYYZh2tZ9TWoTwyHiJEREREREQZUgmjFP+ciIiIiIgolKysLMnNzY3/LAK7Msp6dw1ol1HRu5TS1cF6Rm0+sJ5RWwfrGbX5wHpG7fLBekZtHaLeFsOso/WM2jpYz6jNB9YzapcP1jNq6xD1thhmHa1n1NYh0xk3bdoUa9euHXZY7H3wECkiIiIiIjog2dnZMmXKFOy02PvgAIOIiIiIiDKCAwwiIiIiIsqYb7/9lgMMIiIiIiLKHA4wiIiIiIgoYzjAICIiIiKijKmES00tWrRIGjdu7GeVtG3bNjniiCP8VEnp6qBdRlln1NbBekZtPrCeUVsH6xm1+cB6Ru3ywXpGbR2i3hbDrKP1jNo6WM+ozQfWM2qXD9YzausQ9bYYZh2tZ9TWoTwy8j4YnrYO1jNq84H1jNo6WM+ozQfWM2qXD9YzausQ9bYYZh2tZ9TWwXpGbT6wnlG7fLCeUVuHqLfFMOtoPaO2DuWRkYdIERERERFRxnCAQUREREREGcMBBhERERERZQwHGERERERElDEcYBARERERUcZwgEFERERERBnD+2B42jpYz6jNB9YzautgPaM2H1jPqF0+WM+orUPU22KYdbSeUVsH6xm1+cB6Ru3ywXpGbR2i3hbDrKP1jNo6lEdG3gfD09bBekZtPrCeUVsH6xm1+cB6Ru3ywXpGbR2i3hbDrKP1jNo6WM+ozQfWM2qXD9YzausQ9bYYZh2tZ9TWoTwyHjSHSGVlZflndKCOPPJI/4w0Dj/8cP8sOW7n9NJtoypVqvhnFYfvOURERMkdFAOM/HyRG24Q6dx532PCBF+k0L777lDp06fodhw2zBcppZ07RZ5/XuSJJ0S+/DJ153fsWJGBA7Hr8FA/h4pDe8Pf8rp1JbdR4u984UKRww47zM8tX/gd/vGPyR+zZ/sXERER/cRFfoCBDkn//iKPPSby9tvB45VXRCZPFnn0UZHvvw9eV7ly5eAJJYVO2003iXTosG87ojO1caPEBx0FBcHruB1TQ593/HgM1Cr5OfssXy6ydKmfoFJ9+63IqFH7/naTqVSp5DYuL8cfL9KvX/D+knj06iUydy4HGURERBDpAQb2UixZIvLccyK5uX6mU6uWyDPPBM9fein4aeGQCqvwzTC218MPi3Tq5Gc61aoF38yefrrI4MFBh69q1aq+SsXhiBnszcBejMIwb8ECkYYN/QxKa/58kenT/UQE1Ksncu65Ip99Fvy+oSIHQURERGUlzCHCkR1goLP78cfBN+4YUMRiMV8JoHN82WUiH3wQdKAPPZSHpaQyZYpIo0Yip5ziZxTTvr3IqlXBt/DcjqnVrClSv37JPRXYCwTHHhv8pNI1by7SunWwFzKx58yiPXv2+Gf7bN3KAQYRER2ccNRQ4cPoCx8pVFxkBxjr1weP004Lpnft2hU8KeTnPw86fVu2uBU95KA43STj0DDQAW7SJBiUJVO3bjAA+eordprSQXv84ovgMJ8EfKuNgUcFnTYQSTjXAkaPDn5GwYYNwV4s/p6JiOhgg8EF+os4fD5xOsI33+w7Uqi4yN0HA+cA4Co9ixYdEj+sB+deNGgQE7ceewcR+InX7N5dWf7yl6DzfNllMdm5c2f8kUwm1rGir22crl44H7ZjNTeiwIndDzwQ7Am69NI98e2TGKwV347HHCPSu3csXv8+xZA1kxmTKettBGEzYrCF7bNnT5X4OQMYzGJvz4gRwfbEHiE0N/wxtm0bDDRwqFTPnuKW/6Ps2LFDfvzxR7/UfbTrkG4bgvb/yHRGbEccfpd4A7v33uAQKWxLHLrXtGmwJxLnW911l8iZZ/4Yb4O7d+/2SygpkxkT+fC7xODxxhuLDiSwd+/110V++UuRNm2CLzw2bdpUptsQKvrvJV1dmw+sZ9TWwXpGbT6wnlG7fLCeUVuHqLfFMOtoPaO2DmEz4qgVfP4l+oo9egSfxwmFP7MPOWRXvF8DWH5k74OxYEEsdv31sdjatcG0W5ngSSE7dsRijzwSi739diy2Z88ePze5TKxjRV/bOF09Wb4tW2Kx224rfRsltuPQoX5GKcoiY2FlvY1gfzN+/30sNmJELDZmTNHnsGxZMI35s2bFYk8/HYtt3RrUUtGuQ7ptCNr/o6wyoo2hraHNJdod2ifaKf7W8TePv303MPP/IrWyyIjfa//+yR/4XRdW1tsQKvrvJV1dmw+sZ9TWwXpGbT6wnlG7fLCeUVuHqLfFMOtoPaO2DpqMiX5jp07BI/GZXRiWH9njhmrXDn7i8CdIdugOvmTH7htKDYdF1anjJ9LAiayu3fgpSgbfap94YvAtN/Ze4HwMTPOwmf2Htok9BdiWlg6VSnYVKTxSncNEREQUdYnzL3DFUfQbsUcfR2ukEtkBRuHzAiDZ1Y3Wrg2u6JOT42dQCejE4dAnnDC/c2fy8ytwrgtO8uZ2DAcDCpzsu2ZNcFw+punA4OpwXboEF2vA37MlHGwTEdFPAQ5RxucwDlnG+Re4wmiq83YTIjvAwIrhKlFjxhS9ShRGWDhBdMUKkYkTgyvS4JvFZMe6U6DwVaKSKXyVqWRXzqGicC4GzJy5bwBHB+7ii4P2l5dX9OT5ivbDDz/4Z0RERAcvHC2Evg0unpSAqzziVhGpRPrSSjjR5LzzghM/MciA224LvvHECSe4lj4GIejk8dvG1PAtMU6cxci08B3QcYgZDv1AA/rd74LtWNpJtRRIXK42sfeCh0fpoN3hUKnEwI2IiIjKD05LwBd8c+b4GQ4OXcZRQjgVIdl1fyI9wAAMKHAlKQwyEtflxZVnEtBpxl2qef+G0mGwlrgDemI7XnNN8O370KHBvUYg2eWAqSRcrhYdYx4elRkYBOPLBCIiIipfiS+i0b9O9BEBV8XEwCNxPnRhkR9gAFb81VeD48KKPzDA+Ogjt6K8D0ZaGERgMFF4+2EAVxgPkSoJeyhw6TYMyAB7eXA4GS7phhPjE3D50rvvFqlRg3vTUkF7w7GdVauWbGeooU1iMFxRe9LwO8bvGr9z7s0jIqKfCnz2Fu8fduoU9L/RDy/uoOl1p/qwxwbBRuA5GOklrl9MOtu3b/fPkkt1LxbaJ9V9VhIsbEOeg0FERD9FYfrUkbvRXirJ/j0uXVulSpX4+RduPVX/f5h1rOibp6Sra/OB9YzaOljPqM0H1jNqlw/WM2rrEPW2GGYdrWfU1sF6Rm0+sJ5Ru3ywnlFbh6i3xTDraD2jtg7lkTGyN9orTrt8bR2sZ9TmA+sZtXWwnlGbD6xn1C4frGfU1iHqbTHMOlrPqK2D9YzafGA9o3b5YD2jtg5Rb4th1tF6Rm0dyiNjJA6RmjdvXvyxePFiP4f2V35+vsyfP1/ee+89+dbStT4jBIfEfPDBB/Lvf/9bVuA6yHRAPv300/g2nDt3rtlDF/meQ0REPzU4/Pj999+Pf0avXLnSzz0wpgcYAwcOlOzsOnLVVb1lyJAp0rHjdZKb20hefvll/wpK56OPPpI2bS6SZs3Ok7y8t6Vbtweldu3a0rt372AXFoVy3333SY0aNeWWW+6RESPekbZtO0rTpmfLO++8419B6UyYMEHOOKO5a4+XyeDB78h1193ptmmWPPjgg/4VFe+pp55y7znHumy3yQsvTJHOnbvKiSf+QkaNGuVfQUREdPDp27dvvJ9z44193Wf0JDn//HbSvHlLmTZtmn/F/jE7wOjRo48MHTpFTj99mjRuvNA9ZrhO8jI57rjhcv/9T8uf/vQn/0pKZerUqXLuuedJQUEXadXqa7cN33MdvDlyySX/J3PmVJNzzrmQezNCaNeus8ya9ZUblK2SLl0+dI+Z0rPnWjnhhHula9ebOOAN4fnnn5cbbugp1ao9KC1arHFtcaZrix+59rlUxo1bIx06XOlfWXG6d+8tr7zyrlx99Uw3wFgg11wzww3Il7uMQ6VfvwHy5JNP+lcSEREdPC64oKNMnLhJ2rTJd/3uD91n9CzXR/zcVX4vl19+tbz22mvBC/eDyQHGiy++KDNmLJZTT50uNWue4ecGsrPbyGmnTZWBA4e5Tt8sP5eKw+Vkb7mltxuUjZPjj+/p5waqVMlyneNn3WtayR133OHnUjL9+/eXLVtquEHGKNcW6/u5gZNPvkquumqSGwz3lHXr1vm5VNzq1avdgKyXe8N6R+rUudzPDVSv3kAaNRota9ceIo/hhjYVBAOgDz9cLr/+9VQ59tjT/NxAgwa/lCuumCpPPz1E/vWvf/m5RERE0YcjNDZsOEYaNnxJqlU7zs8NHHdcF2nadJJ0795T1q9f7+eGY3KAMXjwMNcRechPlYQNUK/eg/K3v/09fnlaKw8cT55sfkU80GE66qizSnToCsvNfVLGjn1T/vOf/yRdRkU8LG1DPPLynpMWLVJ3fHNyWkjz5r+T4cOHJ/33FfGwtg2xbRo2vE+yspr6rVZSTs6j8uyzzyX99+XxGDx4qBuMp37PqVmznpx9dj/3nvO3pP++oh7WftfFH9bz4cGM+ge3YWYezKh/cBvu3wPnXOTlDXF96sf9p11JRx3VSurW7S4vvPCCnxNOJZztjRN/L7jgAj+rpK1bt7rOQZafKildHcIuA+cF1K6dLe3bl34d/O3b82Xu3KZy0UXnx6exoSpXrhx/nkxZ12Hz5s2SnZ3tp0oqz4yLFy+RWrXuk5/97Nb4dCrz5rWR44/f7gYidUKtY1mvQ0VvQ0i8Bm1y2bJ10qdPvq8kt2bNVJkxo4frgDaJT5d1xnT1dNsQyjPj3LkL5KST/hHf+1iaWbPqucFaQ6lRo4b6/4ewy8DP6dNnyP33l35vjS1bPpORI8+Wtm1bxae1GbV1sPSek4w2H1jPqK2D9YzafGA9o3b5YD2jtg5Rb4th1tF6Rm0dEq8pKCiQTz75Rlq3XuUryf33vxNcH/3vMm3axPh0mD59JVyKyk+bgFDXXnuTGzgU+DnJ7dq1WWbO/JmcddaZfg4Vtnr1F1K//gDJybnOz0lu/vzLXIdutRx99NF+DiV89913smHDHunVa6mfk9wXX8yVt966Uk4++ed+DhW2ZMkaadJkknszaubnJPfeew2lQYPqcuSRR/o55QNXB/vkkxVy772ln4+0bdsGGTr0BGnatOhhm0RERFGEPvfXX1eRVq0+9nOS27x5tnttX/nrX5/2c/bBQCM3N7fEgMPcHgyoVetoN3D4WA4/vOgx74Vt2jTLjaj6yIABj8ancffk6tWrx58nU9Z1WL58uZxyyil+qqTyzDhmzBjXsWskJ530RHw6lXnzTpXbb79OGjVqFGody3odKnobQuI1W7Zskbvuutc9Sh/sLlw43A1GXpPf/vZ/4tNlnTFdPd02hPLMOGhQnuzY0dMNeLvFp1OZOrW6DBv2XHwPhvb/h/1Zxs03d3cDyRXu/y56/Glh+fnvur+XO+Txxx+OT2szautg6T0nGW0+sJ5RWwfrGbX5wHpG7fLBekZtHaLeFsOso/WM2jokXrNx40b5wx8ekrZtN/pKcvn5z8k55yyWESNGxKeL9+mxV+b666+PX1woweQAo0+fPjJrVi1p2DB15zg//zrp1q2p3HPPPfFpbUZtHcp6O+5PfcGCBXLJJb9yDWKVHHpo8oa2YcNkN1C7Wz77bHl8Osw6lvU6VPQ2hMKvufDCS9wf4TXSpEmP+HQyY8acI3/+831y+eXB+S5lnTFdPd02hPLMiMFuv35/dW+oqU+Q/vzzoZKTM1kmT54Qn9b+/7A/y7j11ltl5cpjpXXr1OfbTJvWRbp0OUfuvPPO+LQ2o7YOlt5zktHmA+sZtXWwnlGbD6xn1C4frGfU1iHqbTHMOlrPqK1D4de0atVWtm27udQvARcvbipDhz4ml156aXw6zP9h8iRvXLln8+ZRsm7di35OUatXPy6VK3++d3BBJTVr1kxuuulq12m6QWKxH/zcfQoK5suKFd1dx7jirtwTBY8//ohMmtTLDcKm+DlFTZ9+m5x+eoO9gwsqqUuXLvKLXxzj/m5v93OKwrGdy5fv2zNQEfCes3z5i+5NdKSfU9ScOY/Knj1f7R1cEBERHQyeeOIRWbq0l2zcON3PKWrlyh7SsuWpewcXYcRiMZsDjLp167pO3Zuyffsgyc+/Wr788lW34u+6AcfzbkUvkuzsWTJx4hv+1ZTKoEGDpEOHHJk372TXQf6zbNgwRb75ZrwsW/Z7mTu3pQwc+JhceWXF33/AspYtW8r48eNl6tRuMnt2D9cJfUPWrp3mtulgGT26mRvxb5Vx4173r6ZU3nxztBtk/FeWLDk7vqsVb2Rffz3W/U3/xk33lgkT3o4PiitKvXr1XIY35dNPn5Jp065xOV91ud6VhQtHuN//he7Nco689Rbfc4iI6ODSunVrGTNmtOvfdHWffb1k/fpx7jN6muvrPCuLFjV2n8275PXX9+9ms7jHmtkb7Z111lmyatUSuf32i+XEEye5wUZ/OfPM9+Xhh7vL++/PkJycHP9KKs2QIUPkjTdelIsv/lp27XrUDc5Gys03Z7vO01rp3r27fxWVpnPnzm57rZZf/epk2b17jOuEPiQNGiyXvLzHZOzY/b/5zE9R1apV5Z//HCuDB/d3g7ZPZMeOh1yn/g3p1u0Mt21XuYFwB//KitOiRQv3nrNMfvObC6VKlUmydGl/OfroufLAAz3d4HJ6/IsPIiKig80VV1whn3++Wvr0aSh16ox2n9EPy/nnr5ThwwfIa6+94l+1f8wOMBJ69erlOnGjXcdkgLz88kjp2rWrr1BYGJ3m5eXJoEFPyuTJ4+OHg9Svn/oEeiqpZs2acvfdd8v48ePkmWcGxO+H0LFjR1+lsDp16hS/L0Ze3pNuW74RP+ToiCOO8FUbcD4G3nOefXaAjBz5klx77bW+QkREdHCqXbu29O3bVyZM+N/4Z/SwYcOkffv2vrr/zA8wiIiIiIgoOioVFBTEFi1aJI0bN/azSsLN70r7ljFdHbTLKOuM2jpYz6jNB9YzautgPaM2H1jPqF0+WM+orUPU22KYdbSeUVsH6xm1+cB6Ru3ywXpGbR2i3hbDrKP1jNo6lEdGnOkdw832SoNBSGnS1UG7jLLOqK2D9YzafGA9o7YO1jNq84H1jNrlg/WM2jpEvS2GWUfrGbV1sJ5Rmw+sZ9QuH6xn1NYh6m0xzDpaz6itQ3lk5CFSRERERESUMRxgEBERERFRxnCAQUREREREGcMBBhERERERZQwHGERERERElDEcYBARERERUcbwPhietg7WM2rzgfWM2jpYz6jNB9YzapcP1jNq6xD1thhmHa1n1NbBekZtPrCeUbt8sJ5RW4eot8Uw62g9o7YO5ZGR98HwtHWwnlGbD6xn1NbBekZtPrCeUbt8sJ5RW4eot8Uw62g9o7YO1jNq84H1jNrlg/WM2jpEvS2GWUfrGbV1KI+MPESKiIiIiIgyhgMMIiIiIiLKGA4wiIiIiIgoYzjAICIiIiKijOEAg4iIiIiIMoYDDCIiIiIiyhjeB8PT1sF6Rm0+sJ5RWwfrGbX5wHpG7fLBekZtHaLeFsOso/WM2jpYz6jNB9YzapcP1jNq6xD1thhmHa1n1NahPDLyPhietg7WM2rzgfWM2jpYz6jNB9YzapcP1jNq6xD1thhmHa1n1NbBekZtPrCeUbt8sJ5RW4eot8Uw62g9o7YO5ZGRh0gREREREVHGcIBBREREREQZwwEGERERERFlDAcYRERERESUMRxgEBERERFRxnCAQUREREREGcP7YHjaOljPqM0H1jNq62A9ozYfWM+oXT5Yz6itQ9TbYph1tJ5RWwfrGbX5wHpG7fLBekZtHaLeFsOso/WM2jqUR0beB8PT1sF6Rm0+sJ5RWwfrGbX5wHpG7fLBekZtHaLeFsOso/WM2jpYz6jNB9YzapcP1jNq6xD1thhmHa1n1NahPDLyECkiIiIiIsoYDjCIiIiIiChjOMAgIiIiIqKM4QCDiIiIiIgyhgMMIiIiIiLKGA4wiIiIiIgoYyrhUlT+ORERERERUShZWVmSm5sb/1kErldb1tfkBe0yKvq6wenqYD2jNh9Yz6itg/WM2nxgPaN2+WA9o7YOUW+LYdbRekZtHaxn1OYD6xm1ywfrGbV1iHpbDLOO1jNq65DpjJs2bYq1a9cOOyz2PniIFBERERERHZDs7GyZMmUKdlr4R0z+H14Y6Yb+ABYOAAAAAElFTkSuQmCC)
Ta có:
OQ = 2cm
ON = 4cm
mà 2< 4
=> OQ < ON