·ÖÎö £¨1£©Í¨¹ýÉèÊýÁÐ{an}µÄ¹«²îΪd¡¢ÊýÁÐ{bn}µÄ¹«±ÈΪq£¬Áîn=1¡¢2¡¢3¼ÆËã¼´µÃ½áÂÛ£»
£¨2£©Í¨¹ý¼ÙÉè´æÔÚp¡¢q¡ÊN*Âú×ãÌõ¼þ£¬ÀûÓã¨1£©´úÈë¼ÆËã¼´µÃ½áÂÛ£®
½â´ð ½â£º£¨1£©·¨1£ºÉèÊýÁÐ{an}µÄ¹«²îΪd£¬ÊýÁÐ{bn}µÄ¹«±ÈΪq£¬
ÒòΪ${a_1}{b_1}+{a_2}{b_2}+{a_3}{b_3}+¡+{a_n}{b_n}=£¨n-1£©•{2^{n+2}}+4£¨n¡Ê{N^*}£©$£¬
Áîn=1£¬2£¬3·Ö±ðµÃa1b1=4£¬a1b1+a2b2=20£¬a1b1+a2b2+a3b3=68£¬
ÓÖa1=2£¬
ËùÒÔ$\left\{{\begin{array}{l}{{a_1}=2£¬{b_1}=2}\\{{a_2}{b_2}=16}\\{{a_3}{b_3}=48}\end{array}}\right.$£¬¼´$\left\{{\begin{array}{l}{£¨2+d£©£¨2q£©=16}\\{£¨2+2d£©£¨2{q^2}£©=48}\end{array}}\right.⇒3{d^2}-4d-4=0$£¬
µÃ$\left\{{\begin{array}{l}{{d_1}=-\frac{2}{3}}\\{{q_1}=6}\end{array}}\right.$»ò$\left\{{\begin{array}{l}{{d_2}=2}\\{{q_2}=2}\end{array}}\right.$£¬
¾¼ìÑéd=2£¬q=2·ûºÏÌâÒ⣬$d=-\frac{2}{3}£¬q=6$²»ºÏÌâÒ⣬ÉáÈ¥£¬
ËùÒÔ${a_n}=2n£¬{b_n}={2^n}$£»
·¨2£ºÒòΪ${a_1}{b_1}+{a_2}{b_2}+{a_3}{b_3}+¡+{a_n}{b_n}=£¨n-1£©•{2^{n+2}}+4$¢Ù
¶ÔÈÎÒâµÄn¡ÊN*ºã³ÉÁ¢£¬
Ôò${a_1}{b_1}+{a_2}{b_2}+{a_3}{b_3}+¡+{a_{n-1}}{b_{n-1}}=£¨n-2£©•{2^{n+1}}+4$£¨n¡Ý2£©¢Ú
¢Ù-¢ÚµÃ${a_n}{b_n}=n•{2^{n+1}}£¨n¡Ý2£©$£¬
ÓÖa1b1=4£¬Ò²·ûºÏÉÏʽ£¬Ëù
ÒÔ${a_n}{b_n}=n•{2^{n+1}}£¨n¡Ê{N^*}£©$£¬
ÓÉÓÚ{an}ΪµÈ²îÊýÁУ¬Áîan=kn+b£¬Ôò${b_n}=\frac{{n•{2^{n+1}}}}{kn+b}$£¬
Òò{bn}ΪµÈ±ÈÊýÁУ¬Ôò$\frac{b_n}{{{b_{n-1}}}}=\frac{2n[k£¨n-1£©+b]}{£¨n-1£©£¨kn+b£©}=q$£¨Îª³£Êý£©£¬
¼´£¨qk-2k£©n2+£¨bq-kq-2b+2k£©n-qb=0ºã³ÉÁ¢£¬
ËùÒÔq=2£¬b=0£¬ÓÖa1=2£¬ËùÒÔk=2£¬
¹Ê${a_n}=2n£¬{b_n}={2^n}$£»
£¨2£©½áÂÛ£º´æÔÚp=2¡¢q=5Âú×ãÌâÉèÌõ¼þ£»
ÀíÓÉÈçÏ£º
¼ÙÉè´æÔÚp£¬q¡ÊN*Âú×ãÌõ¼þ£¬
ÒòΪ$2{£¨{a_p}£©^5}-{b_q}=2016$£¬
Ôò2£¨2p£©5-2q=2016£¬»¯¼òµÃ£¬2p5-63=2q-5£¬
ÓÉp¡ÊN*µÃ2p5-63ΪÆæÊý£¬
ËùÒÔ2q-5ΪÆæÊý£¬¹Êq=5£¬
µÃ2p5-63=1£¬p5=32£¬¹Êp=2£¬
¹Êp=2¡¢q=5£®
µãÆÀ ±¾Ì⿼²éÊýÁеÄͨÏî¼°Ç°nÏîºÍ£¬¿¼²éÔËËãÇó½âÄÜÁ¦£¬×¢Òâ½âÌâ·½·¨µÄ»ýÀÛ£¬ÊôÓÚÖеµÌ⣮
Ä꼶 | ¸ßÖÐ¿Î³Ì | Ä꼶 | ³õÖÐ¿Î³Ì |
¸ßÒ» | ¸ßÒ»Ãâ·Ñ¿Î³ÌÍƼö£¡ | ³õÒ» | ³õÒ»Ãâ·Ñ¿Î³ÌÍƼö£¡ |
¸ß¶þ | ¸ß¶þÃâ·Ñ¿Î³ÌÍƼö£¡ | ³õ¶þ | ³õ¶þÃâ·Ñ¿Î³ÌÍƼö£¡ |
¸ßÈý | ¸ßÈýÃâ·Ñ¿Î³ÌÍƼö£¡ | ³õÈý | ³õÈýÃâ·Ñ¿Î³ÌÍƼö£¡ |
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ
A£® | 1 | B£® | 2 | C£® | 0»ò1 | D£® | 1»ò2 |
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ
A£® | ±ØÒª¶ø²»³ä·ÖÌõ¼þ | B£® | ³ä·Ö¶ø²»±ØÒªÌõ¼þ | ||
C£® | ³äÒªÌõ¼þ | D£® | ¼È²»³ä·ÖÒ²²»±ØÒªÌõ¼þ |
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÌî¿ÕÌâ
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ
A£® | £¨0£¬$\sqrt{10}£©¡È£¨\sqrt{10}£¬+¡Þ£©$¡È£¨$\sqrt{10}$£¬+¡Þ£© | B£® | £¨$\frac{3}{2}£¬+¡Þ$£© | ||
C£® | $[1£¬\frac{3}{2}£©¡È£¨\frac{3}{2}£¬+¡Þ£©$ | D£® | $£¨1£¬\sqrt{10}£©¡È£¨\sqrt{10}£¬+¡Þ£©$ |
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£º½â´ðÌâ
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ
A£® | £¨2£¬+¡Þ£© | B£® | [2£¬+¡Þ£© | C£® | £¨-¡Þ£¬2£© | D£® | £¨-¡Þ£¬2] |
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ
A£® | £¨1£¬+¡Þ£© | B£® | £¨-¡Þ£¬3£© | C£® | [$\frac{3}{5}$£¬3£© | D£® | £¨1£¬3£© |
²é¿´´ð°¸ºÍ½âÎö>>
°Ù¶ÈÖÂÐÅ - Á·Ï°²áÁбí - ÊÔÌâÁбí
ºþ±±Ê¡»¥ÁªÍøÎ¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨Æ½Ì¨ | ÍøÉÏÓк¦ÐÅÏ¢¾Ù±¨×¨Çø | µçÐÅթƾٱ¨×¨Çø | ÉæÀúÊ·ÐéÎÞÖ÷ÒåÓк¦ÐÅÏ¢¾Ù±¨×¨Çø | ÉæÆóÇÖȨ¾Ù±¨×¨Çø
Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com