question_id int64 6 8.97k | subfield stringclasses 22 values | context stringclasses 103 values | question stringlengths 39 2.22k | final_answer stringlengths 5 270 | is_multiple_answer bool 2 classes | unit stringclasses 59 values | answer_type stringclasses 15 values | error stringclasses 28 values | source stringclasses 11 values | index int64 9 6.76k | image stringlengths 928 540k |
|---|---|---|---|---|---|---|---|---|---|---|---|
6,845 | Solid Geometry | null | $如图，在轴截面为正方形ABCD的圆柱中，M,N分别为弧\overset{\LARGE{\frown}}{AD}，\overset{\LARGE{\frown}}{BC}的中点，且在平面ABCD的两侧．$
$(2)求二面角B-MN-C的余弦值．$ | ['$-\\frac{1}{3}$'] | false | null | Numerical | null | OE_MM_maths_zh_CEE | 5,999 | 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fBvhi0uI57bw5pEM8ZDpJHYxqyMOhU7eDW/QBSv76203T7i/upPLtrWJppXwW2ooyxwPauM/4XZ8PP+hh/8k5//jddvcW0N3by29xEksMisjxyLuV1bqCO4rH/AOEE8H/9Crof/gvi/wDiaAMay+LngbUL+3sbPWvNu7mVYYY/sk43Oxwoyyetd1WBD4N8MWlxHPbeHNIhnjIdJI7GNWRh0Knbwa36AKV/fW2m6fcX91J5dtaxNNK+C21FGWOB7Vxn/C7Ph5/0MP8A5Jz/APxuu3uLaG7t5be4iSWGRWR45F3K6t1BHcVj/wDCCeD/APoVdD/8F8X/AMTQBjWXxc8Dahf29jZ615t3cyrDDH9knG52OFGWT1ruqwIfBvhi0uI57bw5pEM8ZDpJHYxqyMOhU7eDW/QBSv76203T7i/upPLtrWJppXwW2ooyxwPauM/4XZ8PP+hh/wDJOf8A+N129xbQ3dvLb3ESSwyKyPHIu5XVuoI7isf/AIQTwf8A9Crof/gvi/8AiaAMay+LngbUL+3sbPWvNu7mVYYY/sk43Oxwoyyetd1WBD4N8MWlxHPbeHNIhnjIdJI7GNWRh0Knbwa36APFtOvrbTv2jPGl/dSeXbW2irNK4BbCKlsWPHsK6n/hdnw8/wChh/8AJOf/AON1i6VoV3N8f/FN3e6RM+kXelrCJprY+RN8turJuYbW+63Hsa7n/hBPB/8A0Kuh/wDgvi/+JoAxrL4ueBtQv7exs9a827uZVhhj+yTjc7HCjLJ611erajDpOj32pXAZobSCS4kVOpVFLHHvxWfD4N8MWlxHPbeHNIhnjIdJI7GNWRh0Knbwa86+OutXUtlpfg/Tdkt3rVwvmReYm7arL5akN90M5X5sj/Vn3oAt/CjxP4g1Dw1r3ijxRe40kSvNbL5R/dIu95WXjc0fzBV+ZsbCvG2tn/hdnw8/6GH/AMk5/wD43W/4e8M2Xh/wfZ+HRGlxawweVKkiZWfd/rCytu4YszbffFH/AAgng/8A6FXQ/wDwXxf/ABNAGNZfFzwNqF/b2NnrXm3dzKsMMf2ScbnY4UZZPWu6rAh8G+GLS4jntvDmkQzxkOkkdjGrIw6FTt4Nb9AFK/vrbTdPuL+6k8u2tYmmlfBbaijLHA9q4z/hdnw8/wChh/8AJOf/AON129xbQ3dvLb3ESSwyKyPHIu5XVuoI7isf/hBPB/8A0Kuh/wDgvi/+JoAxrL4ueBtQv7exs9a827uZVhhj+yTjc7HCjLJ613VYEPg3wxaXEc9t4c0iGeMh0kjsY1ZGHQqdvBrfoApX99babp9xf3Unl21rE00r4LbUUZY4HtXGf8Ls+Hn/AEMP/knP/wDG67e4tobu3lt7iJJYZFZHjkXcrq3UEdxWP/wgng//AKFXQ/8AwXxf/E0AY1l8XPA2oX9vY2etebd3Mqwwx/ZJxudjhRlk9a7qsCHwb4YtLiOe28OaRDPGQ6SR2MasjDoVO3g1v0AUr++ttN0+4v7qTy7a1iaaV8FtqKMscD2rjP8Ahdnw8/6GH/yTn/8AjddvcW0N3by29xEksMisjxyLuV1bqCO4rH/4QTwf/wBCrof/AIL4v/iaAMay+LngbUL+3sbPWvNu7mVYYY/sk43Oxwoyyetd1WBD4N8MWlxHPbeHNIhnjIdJI7GNWRh0Knbwa36AOU8Q/ELwt4Rv0sNa1P7LcvEJ1TyJXyhYjOVU91asr/hdnw8/6GH/AMk5/wD43XUah4b0TVrlbjVNF0+9nVdgkuLVJWC/3csvTk1W/wCEE8H/APQq6H/4L4v/AImgCXw54o0bxXYSXuh3n2q2jlMLSeU8eHAB24YDswq/f31tpun3F/dSeXbWsTTSvgttRRljge1M07SNO0i3NvpunWtlAzeY0dtCsSlvXavfgVPcW0N3by29xEksMisjxyLuV1bqCO4oA4j/AIXZ8PP+hh/8k5//AI3U1l8XPA2oX9vY2etebd3Mqwwx/ZJxudjhRlk9a2f+EE8H/wDQq6H/AOC+L/4moIPDfg221mO3t9G0GLVIlF1HHHawrPGobiRVxuA3fxetAHUV5/8A8Ls+Hn/Qw/8AknP/APG69Arynx/8M5NTsrO38JaboNg8jSRXe7TYACjIcPv2FlKldvyDP7zPGKAPLfjHrPhDxNqNrrPh7U0mvGXybyIWzxM23lH+aNcn7yn5uyelfVFfI/jr4XS+CbbRYW1B7/VNTYxpa29plQy7dwVt25judVX5fm9ulfXFABXnnxl1r+xfhpqRS58ie9C2cX7vdv8AMb94vTj92H5/rivQ6+fP2i9eb7TpHh5XcIqtfTKVUqxOY48HrkbZf++h+AB5n8OdieObC9fSNR1SGyY3Mlvp8LSy/L9xsDHAk2V9A6j8Z9O0i1FxqfhXxZZQM2xZLnT1iUt6bmk68GuO/Zx0P/kNa5Jb/wByzguBJ/wOVduf+uXP5d69/oA8RvvGHin4kWs2geF7LSbKzvoJPOuLnVIJ5hA3dooyWiJU7WBVsF/4cbq1/AfwZ0rwm8Opaqyalq8brLE+1hFbtt/hX+I7s/M3ouAprI+NXgmyttF/4TLSIUsNTsLhHnlgbyjLuf8A1nyj/Wh2Vt3H8XX5ak+DXxPuNf2+GtblMmoQxbre6dxm4Rf4G/vOBzu/iUHd93cwB7VRRRQAV8MeJNbl8ReItR1aYyK13O8oR5N5RSflTd6BcD8K+yPGU0tr4J1+4gkeKaHTbmSORGwyMImwQexr4foA+vPg1ov9i/DTTQ9t5E96GvJf3m7f5jfu268fuwnH9c16HVOwsbbTtPt7G1j8u2tolhijLE7UUYUc+1XKACiiigAooooA+f8Aj4T/ABu/54eGdf8A+AxRbm/4Ci+W/wDvbYn96+gK4v4ieCLbx14bmsikMeoxfPZXMqn90/deP4WA2nr2O07VrgPA3xMvvCk9l4L8c6fJprwJ5Fvey4RRGPlQN2KfKy+ap28L7tQB7nXkOv8AwM07UtWn1nTNe1Cw1Wa8a8aVgrrGzMzfIq7GU7sYbd/DXr1FAHhsMXxq8GIVQ23iOyigZxvfzmX5tx5YpK7+3zfewvt6R4I1vWtf8Px3mvaJLo93u2eS5bL4UfPtb5kUkN8rf3erZrqqKACiivKfF/hv4kL4pvtc8I+JI0tZYQF0+eQkKyqAQkbho8tt3bvl+8fqQD1aivDP+Fp+PvClvcL4t8Fy3CW6xA3sIaJM4HzPIoeMlsr93bg8fTqtH+N3gnVdge9m06WSXyljvoivp825dyKvPdh0oA9JooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKq3MEV0ixzRpIiurgOuRuVtyn6hlB/Cs7WPEWk6C9our6pa2JumZIvPkCBto3Hr0Hv/ALSjqVrboAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACis3VtTstF0ye/wBQuI7a1gXfJI5wB/ifbvXmfiD4+eGNORhpEV1qs5VWRlTyYvvcqWf5gcc/cPb8AD16ivD5PFXxe8W3bwaJ4bPh61EseZryLa6AjB3NKPnXO4/Im4fL+Pa/D/w54r0T+1LnxVr/APalzeSq0cccrvHABu3Fd23buLfdVQBtH/AQDu6888feKvGWi6lZWHhbwv8A2l9pK/6Y6s8SHJDIyrt2dUbezbfvf3Tj0OigDw1vB3xY8bM6+JNeTRLGRpY5LW3kBPlsvTZF8sifw/O+ev8AwLr/AAL8KdK8Cag2pWl9e3V7Jam2lMrII2BZWJVQuV5X+8a9DooAKrXFzDaW8txcSpFDGrO8kjbVRV6knsKLi5htLeW4uJUihjVneSRtqoq9ST2FeEeJvHWv/FG8n8K+CbKZNNkm8q51I7lDxFf4zj90hw/+04AHqpADw0P+FqfGy78QMd+i6Js+yE8FtrN5P91uW3y8g/d2mvoCuZ8GeF7Twb4atdFtGMvlAyTTtGFaaRurED8h1+VVGTiumoAK+O/i3rB1r4nazIGlMdvL9kjWRvueWNjY9BvDt/wKvrXVtRh0nR77UrgM0NpBJcSKnUqiljj34r4lsbS78ReIra0M2+91C6WLzbh2O6SR9u525PVuaAPq74SaONF+GOjRlYhJcRfa5GjX73mneufU7Ci/8Bru6rW9tDaW8VvbxJFDGqokca7VRV6ADsKLi5htLeW4uJUihjVneSRtqoq9ST2FAHm/x61P7D8MZ7fy95v7qK2zuxswfNz7/wCqx+NeI/BP/kruh/8Abf8A9ESVq/GvxtYeK/EVtZ6bMlzZaYsiC4UcSysRv2nPKfKuD/vdRivRfgr8OL3wysniLV/Mt7+8t/Kis2XBiiLK2ZP9s7V+X+HvycKAey0UUUAZev6Z/bXh/UtLEnlfbLWW38zGdm9Cu7HfrXxlodnax+MNMstZTyLU38UF7HOTF5abwsiueNvGc+lfcNfPHxo+GNyl3d+LtGjEtvJ+8v7dEUNEccyrt6qerd85boTtAPoeiuN8A+NrPx14djvYJk+2xBUvbcDaYpdo7ZPyEhtp/wDZga7KgArzmPx3dar8YIvC+jxpLYWEMx1WQshG7C7SnfKPhD/vt8vy7q5z4lfFu0XTrzQPClzPd6pJFuN9YsrRwIAXcq4zuYIOq/d3E7gy1l/s6aCv2bV/ELIhdmWxhYMwZQMSSZHTB3Rf98n8QD32iiigArkvHHgbS/HGhvY3y+VcRhmtLpVy8D+v+0D/ABL3+oBHW0UAfPtr4j8d/CCWxsPE8EepeG96wRTQneUXG7bG/wArZ+b7sg58vC7RzXsHhnxbo3i7TIr7SL1ZsqrSwFl82AnI2yL/AAnhvrt4yK2bi2hu7eW3uIklhkVkeORdyurdQR3FeOa78G9S0LUX1z4c6nJp1yqKPsLSNh9vOFck7gxVPkf5euWxxQB7ZRXiGj/GbU9A1BNF+ImjT2dyuF+2RR7dy5CeYyfxDKud6cf3Vr1LQfE+i+KbRp9F1KG8QD51QlXT5iPmRvmXofvDmgDdooooAK5m58FeGby/h1BtBshfQXQvFuY4vKkMytu3My4LfNzg8GumooAKxvEd9c6X4d1C9sreS5vIYHa2hSF5S8u35F2pyV3YzWzRQB41p/7QGj/ans9e0bUtKuVn8pwu2URc4Jf7rKQd2V2np68V6LoPi/w/4oRW0bV7W6dkaTyVfbKqhtu5oz8yjPqP4hWhqOkadq9uLfUtOtb2BW8xY7mFZVDeu1u/JrzTV/gF4R1BnbT2vtMk8oqixS+bHv5w7B8s30DL07UAet0V5x8PvBXiXwlqt5FqHih9T0fyEitLZw2VK/xYZj5YXldqk7twzjaK9HoAKKxdU8RaPodxbQatqltYvcrI8TXMwjV9m3d8zYXPzrx/hWjb3MN3bxXFvKksMiq6SRtuV1boQe4oAs0UUUAFFFFABRRRQAUUUUAFFFFAHkHh7/k57xX/ANglP/QbavX68q0PStRh/aH8S6pJYXSWE+mokV00LCJ222/yq/Qn5W/I13fiJ9VTw/qLaNHJLqnkMLRY/LyJWGFP7whcA88+nfpQB49exL8S/j9/Z1zKk2jaCCxgOdr+Wy712sGBLSsqt03In0r3uvMPgz4Nl8JeFp5tQt5INWvbgi4icbSixMyIOu1h95tw67+/Fen0AFFFFABRRRQAUUUUAFFFZ+o6vp2kW4uNS1G1soGby1kuZliUt6bm78GgDQorO0rVLLWbJb7T7hLi1dnRZFPDbGKHHqNwPNaNABXFeIPid4S8Nb1vtZhluY94+y2p86TenVG2/cbPHz7f0Ncn4g+E+veLvEt9Nrfi2dtFa6E9vZxhjhP7u3OyNlHyq2G3csfStrQfgx4M0OVJW0+TUZw5ZZNQk8xRlcY2KFRl69V/pQBg23xyXXdetrDw54b1G5gZomu7iSNpHgi8wCRvKi3FgFPXP3j09fZarW9tDaW8VvbxJFDGqokca7VRV6ADsKs0AUr+xttS0+4sLqPzLa6iaGVMldyMMMMj2qhpHhTQdAKPpOj2dpKsXk+bFCBKycfKz/eb7o6ntW5RQAUUUUAFFFc34h8a+HPCgC61q8Fs8mCsXLylTu+bYuW2/KfmxigDpK5Hxf4+0PwVaedq11/pOVMdnAVeeRWJ+YLkfLw3zHj5fXivNr74teK/Gl5Jp3w70KdVXHmXk6KzpxuGc/uovuyL8zNu7YNanhf4Kww3z6143vjr+pttPlvI8kasp+UszfNL8qqMMNv3hhuKAOb/AOLh/GyD/llo3hV5f+AyBH/77lYbv9mMtH/Cwr2nw34a07wrosOk6ZbiOBDuZs5eV/4ndu7H/wCt0Fb1FABRRRQBwutfDiPXrq8lu/FfidIrssJLWC9WOAIw2+WE2Y2449++a52D9n7wxaXEc9vq2vxTRMHSSO4iVlZehB8vg165RQB59/wq0/8AQ+eOP/Bv/wDYVVuvg/pupeRFq/iTxRqdtDMsv2a91HzI2I/4D6bh8uDya9LooA5XQfAPhfwvIJdJ0S1hmVy6zsvmSruXa22R9zAY7Z7n1rqqKKACiiigAooooA8+1D4TeF7u/W/06G70LUA24XWkXH2dgNu3ao+6AR/dA/U1Vuvg/pupeRFq/iTxRqdtDMsv2a91HzI2I/4D6bh8uDya9LooAwtB8MaL4WtGg0XTYbNCPnZAWd/mJ+Z2+Zup+8eKk0Dw7pfhvTF0/R7NLS1DGTYrEkse5Lck/X0FbNFABRRRQAUUUUAFFFFAGfqOkadq9uLfUtOtb2BW8xY7mFZVDeu1u/JryrWfgVaxaj/aXg/WLrQryNW8tA7su7aFAWQNvQN82T8/3v8AgNey0UAeDx+Lfir4CiEPiDQTrmmw+Zuuk+d/KRdu5pUztX+LdKm5vm/4D1/hn40eEvEEES3N4dKu3O14b35UU7dx/e/c29QN20nHSvSa5DWvht4N8QXBuNR0G2eXcztJBugZ2b7xcxldx+tAHRWOoWep2cd1Y3UNzayZ2SwOHRsHHDL15q7Xi7/s/wBpZXdvdeHPFGqaZcRbt0rqsj8jHysmzbxkd+tZ/wDxenwLD/y7+JbKKL3uWVmf/gM7sP8AgSgH24APeKK8XT9oC0sru4tfEfhfVNMuItu2JGWR+Rn5lfZt4we/Wux0/wCK/gbU7g28HiS1RwN265D26/8AfUiqufagDt6KpWOoWep2cd1Y3UNzayZ2SwOHRsHHDL15q7QAUUUUAct4t8C6D40t4o9ZtpJHhEggmjlZGi343FcfKT8o+8D0rzif4HatoovJfBvjO+sPN2bbd3eLfj/npLEeerEfJ7e9e4UUAeHx+Kvi94Su0g1vw2fENqZZMTWcW53AGBtaIfIudp+dNx+b8PR/BPip/GHha21ptNawWdnVYjMJAQrFdwYduO4HQ9sE9TRQAUUV5J4ig+LemeLLi/8AD/2K/wBJuJWZNPkmRggVFQbi+xl3Y37UbAbd/wACAPW6K8Os/jteaTLHZ+NfCt9p9y0Jk3wIyF/m+XEUu3C43c7jyv5dzovxW8F61b749dtraQKpeK9b7OyZ/hy52sR32k/yoA7iiiigAooooAKKyNe1i08PaFe6teybLe0iMr4IyfRRnuT8o9zWb4J8Wx+NPDkWsQWN1Zxs2xknHBYBdxRv4kzuXdx908UAdTRRRQAUVSvtQs9Ms5Lq+uoba1jxvlncIi5OOWbpzXC698Z/BmhyvEuoSajOHCtHp8fmKMrnO9iqMvTo39aAPR6K8Pi+LfjLxXeKngnwf5tsJZE+03e50bA3KGYFEjbH8LM33h+PWfD2x8fwyXl342uoJjcRIsUIlUvblGf+CNdnzbt24Nn5VH+6AeiV5/448f33hDUdLsLHw1d6xNqCytGsE20sUwWVVCsxIByflH4/Nt9AooA8H/4vT46h/wCXfw1ZSxe9szMr/wDAp0Y/8BUge/OlZ/ASyuNTe/8AE3iLUtbnLIxYjyi+3s7MzsykbR8pXGPy9mooAytE0TT/AA7pMOlaTb+RYwbvLi8xn27mLHliT94mtWiigAooooAKKz9R1fTtItxcalqNrZQM3lrJczLEpb03N34Ncjqfxe8D6U1xE+upczRLnZaRvMH43bVdRsJ/4F9aAO+orxGf47SapcSWfhDwhqGpzC3Z978tG3Tc0UYbcgyv8S9ccVBHpPxi8ayJNfainhqwdopVjgbyZACvzbQmZM/xFJGX5m9vlAPZdR1fTtItxcalqNrZQM3lrJczLEpb03N34Nec+JPjn4X0WJ49NkfWrxXZNkPyRLtZc5lZfmH3trIGzj8aoaf+z/o/2p7zXtZ1LVblp/NcrtiEvOSH+8zEndltw6+vNd3oPgHwv4XkEuk6JawzK5dZ2XzJV3LtbbI+5gMds9z60AeYz3/xg8ehoLXTv+EZ08yuplctbyqMqy7mb96eiruRVBy2e+N7w98DND0/UH1LX72bX71pTLmddkTNkHc65LO27dnc207uV7161RQBSsdPs9Ms47WxtYba1jzsigQIi5OeFXpzV2iigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigClfafZ6nZyWt9aw3NrJjfFOgdGwc8q3XmuV1D4UeBtTuBcT+G7VHA27bYvbr/3zGyrn3rt6KAPF7v8AZ60iEwz6J4g1SxvY5RIs8uyXbj+7t2ENnHO6o28FfFrQXvn0TxqmoQsoZBeuzyOVH3VWVXVDklfv88bvb2yigDxNfGvxa0F7FNb8FJqELKVc2SM8jlR95miZ1Q5Ib7nPO32ktP2hdIhM0Gt+H9Usb2OUxtBFsl24/vbthDZzxtr2iq1xbQ3dvLb3ESSwyKyPHIu5XVuoI7igDgbf42+ApraOaXWpIHcBjC9nKWT/AGTtVlz9DW/a+P8Awfc20UyeJ9IVZFVwJL1I259VY5B9jRdeAPB9zbSwv4Y0hVkVkJjskjbn0ZRkH3FY/wDwpP4ef9C9/wCTk/8A8coA6vTNe0nWjKNJ1WyvxFt8wWtwkuzPTdtPHQ1q15Ne/s/eDru6aaCbVLNDjbDBcKUXjsXVm/8AHqz/APhQn9l6h9q8M+MdT0jdF5bkLulbnJ+dGT5fu8Y/hoA9porxa28GfGDSDNb6b43spbUysY3vWaWVl7ffifbwPuhsUQz/ABy0e9uIHtNL1yM7fLndokQcc7drRN3/AIh/Dx7gHsFxbQ3dvLb3ESSwyKyPHIu5XVuoI7iuF1j4N+CtYM8o0v7DcTbf31g7Q7MY+6n+rH3f7vr35rC/4SD45f8AQm6J/wB/l/8Akmj/AISD45f9Cbon/f5f/kmgD1HSdOh0nR7HTbcs0NpBHbxs/UqihRn34qa4uYbS3luLiVIoY1Z3kkbaqKvUk9hXj0XxJ+JGl3l1ba18O571127G05JQg4z98ear9R90/Lz+Fr/hb3jD/ok2uf8AfUv/AMYoAv6b8evBF8ZPtE97p+zGPtVsW3j28rf+uOteg6dq+navbm403UbW9gVvLaS2mWVQ3puXvyK8P1rxJc+ITO2qfA69uJZ9vmXHlypM23GP3qwB/wCEd+nFcBd+HPEFvqcd/wCGfB3izRZw0jZXzZWjDdFRliRgMbhyzZ/mAX/irDf3nxn1jTdPZjNfPa26xK+0S7ootqntjcF6+gr6Al1fwl8OPD1rpN3qlrZQWkCKkLsPOdc7d+xBuYs2SWVeu418x/2F8RP7Y/tf+yfFX9p/8/v2e4877u3/AFmN33fl+la2heHJNMTOq/DHxLq821lZWkmgi+98rKqRbgcccu3f8AD3HTPjJ4T1jxRbaDYyXTvcMFivHjEcDNt3Y+Zg27Py/d616LXh2mePtX0TzTpXwUv7Hzcb/ssDxbwPu7tsHPU1o/8AC3vGH/RJtc/76l/+MUAdz4z8F6b460eLTNVuLqKCKcXAa2ZVbcFZf4lbj5jVfR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|
8,931 | Electromagnetism | null | $空间存在两个垂直于Oxy平面的匀强磁场，y轴为两磁场的边界，磁感应强度分别为2B_0、3B_0。甲、乙两种比荷不同的粒子同时从原点O沿x轴正向射入磁场，速度均为v。甲第1次、第2次经过y轴的位置分别为P、Q，其轨迹如图所示。甲经过Q时，乙也恰好同时经过该点。已知甲的质量为m，电荷量为q。不考虑粒子间的相互作用和重力影响。求： $
Q到O的距离d； | ['$\\frac{mv}{3qB_0}$'] | false | null | Expression | null | OE_MM_physics_zh_CEE | 2,958 | 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|
5,281 | Solid Geometry | null | $如图，四棱锥P-ABCD中，平面PAB\perp 平面ABCD,AB\parallel CD,AB\perp AD,AB=3,AD=\sqrt{3},AP=CD=2,\angle PAB=60^\circ ，M是CD的中点，N是PB上一点.$
$(2)是否存在点N,使得MN\parallel 平面PAD？若存在，求PN的长；若不存在，请说明理由.$ | ['$\\frac{\\sqrt {7}}{3}$'] | true | null | Numerical | null | OE_MM_maths_zh_CEE | 4,884 | 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|
8,217 | Mechanics | null | "$一游戏装置竖直截面如图所示，该装置由固定在水平地面上倾角\\theta = 37^\(...TRUNCATED) | ['4, 22'] | false | m/s, N | Numerical | null | OE_MM_physics_zh_CEE | 2,305 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
1,398 | Mechanics | "## Disk Jockey\n\n\n\nA disk of uniform mass density, mass $M$, and radius $R$ sits at rest on a fr(...TRUNCATED) | "a. The ant walks an angular displacement $\\theta$ along the edge of the disk. Then it walks radial(...TRUNCATED) | "['$\\\\frac{2 m \\\\theta}{M}\\\\left(\\\\left(1-\\\\frac{h}{R}\\\\right)^{2}-1\\\\right)$', '$-\\\(...TRUNCATED) | false | null | Expression | null | OE_MM_physics_en_COMP | 497 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
4,622 | Conic Sections | null | "$已知椭圆C: \\frac{x^2}{a^2}+\\frac{y^2}{b^2}=1(a>b>0)的离心率是\\frac{\\sqrt{2}}{2}，且(...TRUNCATED) | ['$\\frac{x^2}{4} + \\frac{y^2}{2}=1$'] | false | null | Equation | null | OE_TO_maths_zh_CEE | 3,910 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
2,963 | Algebra | null | "Let $T=0$. Compute the real value of $x$ for which there exists a solution to the system of equatio(...TRUNCATED) | ['3'] | false | null | Numerical | null | OE_TO_maths_en_COMP | 1,175 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
475 | Sequence | null | "已知数列 $\\left\\{a_{n}\\right\\}$ 的前 $n$ 项和 $S_{n}$ 满足 $2 S_{n}-n a_{n}=n, n \\in(...TRUNCATED) | ['$50$'] | false | null | Numerical | null | OE_TO_maths_zh_COMP | 6,607 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
4,367 | Probability and Statistics | null | "A，B，C三个班共有100名学生，为调查他们的体育锻炼情况，通过分层抽样获(...TRUNCATED) | ['$\\frac{3}{8}$'] | false | null | Numerical | null | OE_TO_maths_zh_CEE | 3,729 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
7,318 | Plane Geometry | null | "$请从下面三个条件中任选一个，补充在下面的横线上，并作答.①\\overrightar(...TRUNCATED) | ['$\\frac{\\sqrt{17}}{17}$'] | false | null | Numerical | null | OE_MM_maths_zh_CEE | 6,335 | "['/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpL(...TRUNCATED) |
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