笔趣阁 - 玄幻小说 - 黑科技学神在线阅读 - 第59节

第59节

    ????ʲô??????????????Ц??˵?????????ⲻ??????????ʶ???????????˵??һ?????ȹ˳Ǻá???

    ??????????Ԭ?ɵ³?Ĭ??һ??????????Ǻã?????Ҳͦ˧????ϧ?Ǹ?ֱ?ġ???

    ??emmmmm????????ʲô????û??˵????

    ?????ƺ?Ԭ?ɵ??ٴγ??ֵ?ʱ????????????üͷ˵????????ȥ????????ô??ô?????????Աߵ?????С????˵??????????û?з??֣?????ΪֹҲֻ????????????𣿻???????˾?????ʲô?ط?????

    ?????ǰ????????ڵ???һ????????ѣ????һ?????Ѷ?û?г???????????ǰ???ⶼ???˳Է???ʱ????ˣ????Ѿ?Ȼ??û??????????????ˣ??²?????Ҫ????

    ????˭֪???أ????????????ʼ?򣬡???????????ʲô????ɡ???????????һ????????????ֱ???????ţ???????????һ????鶼û?п?????????????ȥ????????÷????ɣ????ÿ?????Ǵ?ѧ??????ʲô???ԳԵġ???

    ????????˵????????μ?ѵ??ͦ?õġ??Ե??ǽ̹?ʳ?ã???Ǵ?ѧ??û?п?ѧ?Ĺ?ϵ????У??ѧ???????ࡣ????ѧ??ʳ??û?п??ţ?ֻ?н̹?ʳ?ÿ????ţ????????׬???ˣ???˵??Ǵ?ѧ?Ľ̹?ʳ??ͦ?????ġ???????һ???ߣ?һ?????????ص?˵?Ż???

    ???????????????????Ƶ?˵?ţ????ƴ?????????һ?ۣ????κ?˵????????????????ĺ???????һ?????⡣??

    ?????????һ?£???????????Щ???????Ե??ʵ?????????????ʲô???⣿??

    ???????ǡ????Ǹ????ţ????Ե???Ϣ???Dz?????˵??ȥ?ģ??????ƿ???????һ?ۣ?????????Żع???????????˵?أ???˭??û??˵???????Ϣ????ô?????˶?֪??????????????ڵĶ?????ȥ?ˡ???????ԭ?????㡣??

    ???????????ݾ?????Ǵ?ѧ?Ľ??ڣ???֪????Щ??????ʵҲͦ?򵥵ġ?

    ??????ڸ?????˵???ǣ??п??ܿ??ԣ?????û???о??÷?????????????ôһ˵??????ڿ??????Ƕ??Ѿ???????ô?????ˣ?Ҳ???????ǿ??԰ɡ??????????Ѽ?ѵ?ӵ??????˶??????ˣ??????˵?Ŀ?ⶼ???????????????ϣ???????????Ƥ??Ҳ????ס??ô???ڣ?ֻ?????ε?Ц??˵???????ң???ʵ??Ҳû??˵ʲô?????ǡ????ٺ١???

    ?????㾿????˭˵???ˣ????????????棬??һ﾿????˭˵?ˣ???ô????????Ȧ???촫???ˡ?

    ??????Щʡһ??ѧ??????ʼ???Ų?λ?ˣ????????ͺ??棬???Ʋ????ܼ??˾?˵??????飬??Ҳ????û??˵????????顣

    ????ô?????Ϣ????????ô???????ģ??????Ǻ???????????????????ӡ???

    ?????Ҿ??Ǹ??????Աߵ?ͬ?????˵??һ?䣬˭֪???????˾?˵??????飬Ū???˾???֪??????????????˼??????ͷ??Ц?????Ρ?????????????ȥ?ģ???Ȼ??????????Ҫ???Լ??Ķ??ѣ?????????ȷ?Ǹ??ӻ?û?д???

    ?????㻹???????ͬ?????Ը񣿡????????????˶???ʼ????????????????ô??Ҫ?????飬?㾹Ȼ????˵???ѹ????ǻᱻ??ӣ???????ӻ?????

    ??˵?գ????????ĽŲ??ӿ??˲??٣??????????˻??ܹ??????????????ĽŲ?????????Ժ?칫?ҵ?ʱ?????ɺ??????塣????ڴ???ؿ??????ˣ????ѯ????һ?䣬????????ͬѧ??û?????𣿡?

    ??????û?С???

    ???????аɣ????Ȱѷ??????????ǣ??????Լ?ȥ?̹?ʳ?óԷ??????ˡ?????????ó????ŷ????????????ϣ???????ӡ????Ǵ?ѧ?Ľ?ѧ¥?????滹д?????֡??????˵??????һ??һ?ſ???ÿ???˶??????֡????dz??˷?֮?󣬾?ȥ4416???ң???????д?ź????ƣ????????????ܹ??ҵ??ģ??Ҿ?????????????ǡ???

    ???õ??Լ?????֮?󣬼????߳??칫????ŵ???˵??????????˵??????????dz??극֮??ֱ??ȥ??????ʲô???飿??

    ??????֪?????ܲ????????ǿ??԰ɣ???

    ????Ӧ?ò???ɣ????м????˻?û?????ء???˵?????????ͣ????һ?£???????????ѯ?ʵ???????????˵??????ô??û??????????

    ????˭֪???أ????????????????³??˰ɣ?????һ???硣?????????????ʼ?򣬡???˵???????ֻ??˵???????Ҫ????ѵ?ӱ?????Ҳû??˵??Ҫʲôʱ?䵽??????????Ҫ?????????֮??????ɡ?

    ??????ȥ????????????ֻ?????Ǽ????˿?????

    ????ֻ?????Ǽ????˲?????С???ѧ?????????󡣡?

    ??˵??˵?ţ????Ǿ??Ѿ?????????Ǵ?ѧ??ʳ?á??Թ??緹֮????????Ժ?Ľ?ѧ¥????һ????????Ǿ??ҵ???4416???ҡ?

    ????????????????ϵ??????ǣ?????????????֮??ָ??ָ?յ????Ľ???˵????????????ɣ?????????Ҳֻ??????һ?š???

    ???????????????????????ʲô????˼??????????ͷ???ߣ????????ڵ?һ?ţ??????????۱??ںڰ???д?¡?΢???֡??????֡?ת????????????˵?????????Ŵ?Ҷ???İ???ɣ???

    ???????˶????˵?ͷ????һ????ٶ?ѧ??һЩ΢???֡????????ƺ?Ԭ?ɵ??????Ĺ???Ѿ???΢???ֻ?????ѧϰ???ˡ?????????ֳ??ڽ?̨?ϣ?Ц???е?˵??????΢???ֶ??ھ?????˵???Ƿdz????õġ??ֽ׶Σ??Ҳ????Ƽ?????ѧϰ?ߴ??????????ۡ??Ͼ????滹?кܶ????????Ƕ?????Щ?Ժ?????˵???????ʱ???????Ц??Ц??????Ȼ????????ij??????ѧϰ???????ۻ??п???Ҫ???????εĹ????

    ?????ٺٺ١?????

    ??????????????

    ?????????ҵ?????һ???Ӿ??ɳ?????????????ڳ??ȴ???????˵??????ԭ?????Ǵ????????????Եģ?????û???뵽?????????û?е?????ô???ȸ?????˵˵΢???ְɣ?΢??????Ҫ??Ϊ΢??ѧ?ͻ???ѧ?????????????΢????ѧ??ͦ?õģ?????Ϊֹ???ܹ?????????Ҳ????????ͬѧһ???????????Ҳ?????٣???????ѧ????֪ʶ?Ѿ?????ʵ???ܹ??Ӽ???????????????ӱ?????????Ǿ????Լ???һ??΢???ֶ?ѧ?????𣿡?

    ???????ȣ????ǽ???һ??΢?֡???

    ????΢?֣?differentiation??????ѧ?еĶ??壺?ɺ???b=f(a)???õ?a??b????????????a?е?dx?????Լ?ʱ????????dx???ļ??޽?????????dx????΢?֡???????ڿ??????ѧ??˵??????????ô˵???????Dz??Ǿ???ͦ?򵥵ģ???

    ????λѧ??΢΢??ͷ??????ڼ???˵????????ֻ??΢?ֵĻ??????????????Ҫ˵?ı???һԪ?͡???

    ?????躯??y = f(x)??x?????????ж??壬x??x   ??x?ڴ??????ڡ????????????????y = f(x   ??x) - f(x)?ɱ?ʾΪ??y = a??x   o(??x)????o(??x)?DZȦ?x?߽׵?????С??ô?ƺ???f(x)?ڵ?x?ǿ?΢?ģ???a??x?????????ڵ?x??Ӧ?????????????y??΢?֣?????dy????dy = a??x????

    ?????Ա???x????????x??Ϊ?Ա?????΢?֣?????dx????dx = ??x?????Ǻ???y = f(x)??΢???ֿɼ???dy = f'(x)dx????

    ???????Ա???x?ı?Ϊx ??xʱ????Ӧ?غ???ֵ??f(x)?ı?Ϊf(x ??x)?????????һ?????x?޹صij???a??ʹf(x ??x)-f(x)??a???x֮???ǡ?x??0???ڡ?x?ĸ߽?????С???????a???x??f(x)??x??΢?֣???Ϊdy??????f(x)??x??΢??һԪ΢?????У???΢?ɵ??ȼۡ???a???x=dy????dy=f??(x)dx????

    ???????磺d(sinx)=cosxdx??

    ?????????أ????????һ???ںڰ???д?Ź?ʽ??һ?߿???????ı??顣??????һ?????????ɫ̫???????ת???????????۱ʷ??ڽ?̨??˵????????֪??????Ҷ???΢??Ӧ?ö???Щ?˽⡣??ô??????

    ???????????۱??ںڰ???д????һ????Ŀ????

    ???????ɷ???2y??x??(x??y)ln??x??y????ȷ???ĺ???y??y(x)??΢??dy??

    ??????????????һ?´?Ҷ????±ƣ?????????????Ŀ???һ??΢???֣??ղ??????˵?Ļ???֪ʶ????????ǿǿ???????ܹ?????????Ҫ?????????⣬?????͸??±??ˡ?

    ???????Ц??Ц˵????????ô??û??һ?????Ը??????????һ???𣿡?

    ??Ԭ?ɵ¿???????һ?ۣ???ԭ??????ЩԾԾ???Եġ?Ȼ???????ֱ??Ц??˵???????ðɣ???Ȼû????????????ô??????????????ɡ????????????????ˣ???????????Ϳ????Ȼ?ȥ??Ϣ??Ҳ?????ڽ?????ѧϰ??Ľ??????ۻ???????????

    ???????ֺ??¶???????Ϊʲô??????

    ???????????Ϻڰ壬????һ????Ŀ֮?????ŷ۱ʾ??ںڰ???д?š???

    ??????Է?????????΢?֪?

    ??d(2y??x)??ln(x??y)d(x??y)????x??y??dln (x??y)?ê?

    ??2dy??dx??ln(x??y)(dx??dy)??(dx??dy)???dy

    ????dy=x/(2x-y)dx??

    ?????????ʵ?ܼ򵥣???????˼??һ?£??Ϳ??????????ˡ?ֻ???????????ƺ?????΢?ּ??㻹??ЩΪ?????????????Ƽ???һ??????ˡ????????????ֱ?ӵ??????ƣ?????????д?𰸣????½?????????Ԭ?ɵ»??Ͻ?̨??????????ˡ?

    ???????Ц???еؿ??????Ƶ??˵?ͷ˵????????ȥ?ɡ???

    ??????????ȥ??ʱ??????һ???Եܵı???˵????????ȥ??????????ôҲ̫?????˰ɡ???

    ??????ͷ????Ц??Ц˵??????С??˼??С??˼????

    ?????ã????????????˼???????Ŀ??????????ںڰ???д??????????Ŀ???????????˹????Ǻ??ţ?ԭ????Ϊ????????˻?û?????????Ǿͻ?????һ???????֪????????Ѿ???ʼ???????Ͽ??ˡ?

    ????????Ҳ??ɺ??ˡ????????д????Ŀ֮?󣬽??۱ʷ??ڽ?̨?ϣ??????????????ǰ?????????????????ˣ?????Ψһ??Ե????ƣ?????ʲô?͸?ʲô?ɡ???

    ??????????ó????????ۣ????Ѿ?ʱ??׼??????ѯ??????ڡ????鱾????????ڵĽ?̨??ʱ???????Ц???е?˵???????а?????ѧϰ??????Щ???꣬??Ȼ??????????ҡ???˵???????ʱ??????ڿ???????һ?ۣ??????뿴???Ը?ͷ?ǰɣ???

    ?????Ƽ?æ????˵???????????ܿ??Ž??????Ը?ͷ?ء?????ָ???鱾?ϵ?????˵?????????ǹ????????????????⣬????Щ??̫??????????????ɲ????԰??ҽ??һ?£???

    ??????Ȼ????????ڿ???????һ??֮?󣬾???ϸ???ж?????Ŀ????????Ųݸ?ֽ??ֽ?ϸ????Ƽ????š?

    ????????˿???????ں??????????ڽ?̨?ϣ?????ʱ??ʱ?ص???ͷ??????????ᄀ??һЩ?Լ????????Ĵʻ㡣ѧ???Ȼ??????ѧ???Լ?????ѧ?????Dz?Ҫ??ѧ??Ƚ??˰ɣ??˱??ˣ??????ˡ?

    ???????˰ɣ???վ?ڽ?̨?ϲ??????Сʱ??????????ڱ?????ڸ?????ˣ?????????Ц??˵??????????????ɣ?????ʲô?????????ⶼ?????????ҡ???

    ???????ϡ??????ƿ??ĵ????Ųݸ?ֽ?Ϳα??????˽?̨???ص??Լ???λ???ϡ?Ԭ?ɵ¼?æ˵??????????ڣ?????????Ѿ??????ˣ???????????

    ??????ڵ?ͷ?????????ҵ?????????ɣ??ҿ????㾿????????Ρ???ͣ????һ?£?????ڼ???˵??????????????ˣ????????һ????Ҳ?ܹ??Լ????Լ????????ˡ???

    ??????????Ԭ?ɵ¼?æ????ҵ??????ȥ?ݸ?????ڡ?

    ?????ǣ?????ڱ?????ؿ???Ԭ?ɵµ???ҵ??????????????????ʹ??һ????ɫ??ѹ????????????ѯ?ʵ????????ƣ????ơ???????⾿????ô??????

    ?????ƿ?????????һ?ۣ??????Լ???????ԭ????Ҫ????????˵?ģ?Ȼ???????̧??ͷ??˵???????Լ????Լ??ģ?????ѯ?ʱ??ˡ??????ţ????Ƕ??ǿ??????Եġ???

    ??????̯???֣???ʾ???ź?????????????????????????????ڲ?????????

    ?????ܺã?????????Լ????????ˡ????????Ц???еؿ???Ԭ?ɵ?һ?ۣ????ǵ????СͬѧӦ???ǽ?Ԭ?ɵ°ɣ???Ȼû???????????????һ???⣬?????????????öԵģ?????֤????һ???֣?Ҳ???˲??õ?һ????????š?

    ?????룬???????????λ??????ţ????⻹?ò??˹?һ??????ھ????Լ?????ȥ??һ???????ײ?????ˡ?

    ????ɫԽ??Խ?ڣ??????Ѿ????˴??죬?????????ɻ?û????ȫ??ȥ??????????ش??š?????????һ?????????????????ľ?Ȼ???????ڶ?????????

    ????һ????????Ŀ??һ??????ţ??????ǵȵȣ??????Ͼ?Ҫ??????ˣ?????һ?????ֻ??һ????ˡ???

    ???????????ֳ????Լ?????򥣬??Ц???õ?˵??????????????ɣ?û???˴??㡣??

    ???????˫?????ű??±?ת????һ?£????߷·𶼼????ڱ??±??ϡ???Ȼ??վ???????????????????????֣????????һ?£??ߵ???̨ǰ???????????˵??????????ڣ?????ʲô?????𣿡?

    ??????????һ??????Ķ????????????????ֽ?ͱ??ڲݸ?ֽ??д?š???

    ?????????κ?????Ȼ??p??????????????????????????ʣ?µ?һ??ͻ??????

    ??1.p=(2^k)??1?? p=(4^k)??3

    ??2.(2^p) - 1??????

    ??3.[(2^p)   1] / 3????????

    ????????????????һ???±ƵĿ???????ڣ????е????̫????????ʲô????

    ??????ڿ???????˵????????ô?????Dz??Ǻܾ?ϲ????

    ?????Ǿ?ϲ?????Ǿ??ŲŶ԰ɣ??????????²?????ڣ??????????Ǹ?ʲô???????ƾ???????ڵ?ѧʶ??Ӧ???ǽⲻ?????ġ?

    ???????Ŀ???Ѿ?????????Щһ???±??ˣ?????ڼ???˵????????ô??????û????Ȥ?????о?һ?£???

    ???????о???Ҳ??һ????Ҫ????????????????ֻ???о???˵?????????Լ???????ܳɡ?

    ???????԰???????ȥ?????????????ù??ݸ?ֽ?????½?̨??????һ????һ??˼???ţ?һֱ?벻??ͷ??????????ڿ??????Ƶ?ģ????Ц??˵????????????????Ҫ?ż????????ɲ?????ô?ý⿪?ġ???

    ?????????չ??Դ?????һ?߿?һ??˵???????ҿ?????????ʲô??Ŀ???????ǵ???????ô???ѡ???

    ????Ŀ?????࣬?????ܶ?С?????DZ???????Ϣ??̫?󣬿???һ??֮?????????˶???Ҫ?????ˡ????Բۣ?????ô??ʲô????????

    ???????????????ˡ??????????????³?һ????????????ڿ??˿?ʱ??˵???????Ѿ??????ӣ??????????????????

    ?????ٺ١?????????ɵЦ??һ????Ҳ??֪????˵??ɶ????????ҵ?????Ͻ?̨??ʱ?????????????һ?£????ͷ˵???????????????????Ŀ?Ǽ???һ????????ô???Ҷ??????ˡ??????????أ????????Ľ??????????ǽ??????ѧ???ڴ?֮ǰ?????ǿ?????ȥʳ?óԷ???Ȼ???ڻؽ?????ѧ??ʱ??һ??????ʦ??Ȼ?????ġ???

    ????????߳????ң??????????Խ??ԽԶ????????ѧ¥?Եú????ľ???ֻ??ž?žવĽŲ????ڲ?ͣ???ƶ??š?

    ?????????????????????ؿ?˵??????û?뵽?ŵ???Ǵ?ѧ?ĵ?һ?????ô?IJ????á???

    ????????̾Ϣһ??????֪??ɣ???λ???ѣ??Ҹо???󻹻?Խ??Խ???ѵġ????컹ֻ??һ??΢?ֶ??ѣ???֪???????ֻ???ʲô????

    ?????Ȳ?????????ʲô???Ҷ????Ѿ????ˣ???????ȥ?Է??ɡ??????ھ???????????˵??һ?䡣

    ?????ԶԶԣ???????ȥ?Է???????????Ҳ??ʼ???????У????ǻ?ͬ???ڡ?????һ???߳????ң???ͷ????????һ??˵?????????ǻ??ڵ?ʲô???Ͻ??ذ????Է??????????Դ???????Ŷ????

    ?????Ƶ?????????һ?ۣ???????????⣬?߰ɣ?Ԭ?ɵ?????Ҳ??ȥ?Է?????

    ????û?¡???Ԭ?ɵ?ҡ??ҡͷ??????????ȥ?Է??????ڿ??????????ȥ?Է?????

    ?????治ȥ????