£¨A£©y?kx?k£» £¨C£©y??kx?k£»
£¨B£©y?kx?k£» £¨D£©y??kx?k£®
4£®Ò»¸öÃñÓªÆóÒµ10ÃûÔ±¹¤µÄÔÂÆ½¾ù¹¤×ÊÈçÏÂ±í£¬ÔòÄܽϺ÷´Ó³ÕâЩԱ¹¤ÔÂÆ½¾ù¹¤×ÊˮƽµÄÊÇ£¨ £©
ÈË´Î ¹¤×Ê 1 30 1 3 1 2 2 1.5 1 1.2 1 2 3 0.8 £¨¹¤×ʵ¥Î»£ºÍòÔª£© £¨A£©Æ½¾ùÊý£»
£¨B£©ÖÐλÊý£»
£¨C£©ÖÚÊý£»
£¨D£©±ê×¼²î£®
5£®¼ÆË㣺AB?BA?£¨ £© £¨A£©AB£»
£¨B£©BA£» £¨C£©0£»
£¨D£©0£®
6£®ÏÂÁÐÃüÌâÖУ¬¼ÙÃüÌâÊÇ£¨ £©
£¨A£©Èç¹ûÒ»ÌõÖ±Ï߯½·ÖÏÒºÍÏÒËù¶ÔµÄÒ»Ìõ»¡£¬ÄÇôÕâÌõÖ±Ïß¾¹ýÔ²ÐÄ£¬²¢ÇÒ´¹Ö±ÓÚÕâÌõÏÒ£» £¨B£©Èç¹ûÒ»ÌõÖ±Ï߯½·ÖÏÒËù¶ÔµÄÁ½Ìõ»¡£¬ÄÇôÕâÌõÖ±Ïß¾¹ýÔ²ÐÄ£¬²¢ÇÒ´¹Ö±ÓÚÕâÌõÏÒ£» £¨C£©Èç¹ûÒ»ÌõÖ±Ïß¾¹ýÔ²ÐÄ£¬²¢ÇÒÆ½·ÖÏÒ£¬ÄÇô¸ÃÖ±Ï߯½·ÖÕâÌõÏÒËù¶ÔµÄ»¡£¬²¢ÇÒ´¹Ö±ÓÚÕâÌõÏÒ£» £¨D£©Èç¹ûÒ»ÌõÖ±Ïß¾¹ýÔ²ÐÄ£¬²¢ÇÒ´¹Ö±ÏÒ£¬ÄÇô¸ÃÖ±Ï߯½·ÖÕâÌõÏÒºÍÏÒËù¶ÔµÄ»¡£®
Ò»¡¢Ñ¡ÔñÌ⣨±¾´óÌâ6СÌ⣬ÿСÌâ4·Ö£¬Âú·Ö24·Ö£©
1.A £» 2.B £» 3.B£» 4.B£» 5.C£» 6.C.
½ðÉ½Çø
1£®ÏÂÁи÷ÊýÖУ¬Ïà·´ÊýµÈÓÚ±¾ÉíµÄÊýÊÇ£¨¡ø£©
£¨A£©?1£» £¨B£©0£» £¨C£©1£» £¨D£©2£® 2£®µ¥Ïîʽ2abµÄ´ÎÊýÊÇ£¨¡ø£©
£¨A£©2£» £¨B£©3 £¨C£©4£» £¨D£©5£®
3£®Èç¹û½«Å×ÎïÏßy??2xÏòÉÏÆ½ÒÆ1¸öµ¥Î»£¬ÄÇôËùµÃÐÂÅ×ÎïÏߵıí´ïʽÊÇ£¨¡ø£©
23
£¨A£©y??2?x?1?£» £¨B£©y??2?x?1?£» £¨C£©y??2x?1£» £¨D£©y??2x?1£®
22224£®Èç¹ûÒ»×éÊý¾Ý1£¬2£¬x£¬5£¬6µÄÖÚÊýΪ6£¬ÔòÕâ×éÊý¾ÝµÄÖÐλÊýΪ£¨¡ø£© £¨A£©1£» £¨B£©2 £¨C£©5£» £¨D£©6£®
5£®Èçͼ1£¬¡õABCDÖУ¬EÊÇBCµÄÖе㣬ÉèAB?a£¬AD?b£¬ ÄÇôÏòÁ¿AEÓÃÏòÁ¿a¡¢b±íʾΪ£¨¡ø£©
£¨A£©a?1b £»£¨B£©a?1b £»£¨C£©?a?1b£»£¨D£©?a?1b£®
22226£®Èçͼ2£¬¡ÏAOB=45¡ã£¬OCÊÇ¡ÏAOBµÄ½Çƽ·ÖÏߣ¬PM¡ÍOB£¬ ´¹×ãΪµãM£¬PN¡ÎOB£¬PNÓëOAÏཻÓÚµãN£¬ÄÇô
B E ͼ1
C A D PMµÄÖµµÈÓÚ£¨ ¡ø £©
A PNN O P C
2331£¨A£©£» £¨B£©£» £¨C£©£» £¨D£©£®
2232
Ò»¡¢Ñ¡ÔñÌ⣺£¨±¾´óÌâ¹²6Ì⣬ÿÌâ4·Ö£¬Âú·Ö24·Ö£©
ͼ2
M
B
1£®B£» 2£®C£» 3£®D£» 4£®C£» 5£®A£» 6£®B£®
¾²°²Çø
Ò»¡¢Ñ¡ÔñÌ⣺£¨±¾´óÌâ¹²6Ì⣬ÿÌâ4·Ö£¬Âú·Ö24·Ö£©
¡¾ÏÂÁи÷ÌâµÄËĸöÑ¡ÏîÖУ¬ÓÐÇÒÖ»ÓÐÒ»¸öÊÇÕýÈ·µÄ£¬Ñ¡ÔñÕýÈ·ÏîµÄ´úºÅ²¢ÌîÍ¿ÔÚ´ðÌâÖ½µÄÏàӦλÖÃÉÏ¡¿ 1£®ÏÂÁÐʵÊýÖУ¬ÓÐÀíÊýÊÇ £¨A£©2£» £¨B£©2£®ÏÂÁз½³ÌÖУ¬ÓÐʵÊý¸ùµÄÊÇ
22£¨A£©x?1??x£»£¨B£©(x?2)?1?0£» £¨C£©x?1?0£»£¨D£©x?4?1£» £¨C£©34£» £¨D£©4£® 2x?3?0£®
3£®Èç¹ûa?b£¬m?0£¬ÄÇôÏÂÁв»µÈʽÖгÉÁ¢µÄÊÇ (A) am?bm£» (B)
4£®Èçͼ£¬AB//CD £¬Ö±ÏßEF·Ö±ð½»AB¡¢CDÓÚµãE¡¢F£¬EGƽ·Ö¡ÏBEF£¬ Èç¹û¡ÏEFG=64¡ã£¬ÄÇô¡ÏEGDµÄ´óСÊÇ
(A) 122¡ã£» (B) 124¡ã£» (C) 120¡ã£» (D) 126¡ã£®
A E B ab?£» (C) a?m?b?m£» (D) ?a?m??b?m£® mmC F G D
µÚ4Ìâͼ
5£®ÒÑÖªÁ½×éÊý¾Ý£ºa1£¬a2£¬a3£¬a4£¬a5ºÍa1-1£¬a2-1£¬a3-1£¬a4-1£¬a5-1£¬ ÏÂÁÐÅжÏÖдíÎóµÄÊÇ
(A) ƽ¾ùÊý²»ÏàµÈ£¬·½²îÏàµÈ£» (B) ÖÐλÊý²»ÏàµÈ£¬±ê×¼²îÏàµÈ£» (C) ƽ¾ùÊýÏàµÈ£¬±ê×¼²î²»ÏàµÈ£» (D) ÖÐλÊý²»ÏàµÈ£¬·½²îÏàµÈ£® 6£®ÏÂÁÐÃüÌâÖУ¬¼ÙÃüÌâÊÇ
£¨A£©Á½×é¶Ô½Ç·Ö±ðÏàµÈµÄËıßÐÎÊÇÆ½ÐÐËıßÐΣ»
£¨B£©ÓÐÒ»Ìõ¶Ô½ÇÏßÓëÒ»×éÁڱ߹¹³ÉµÈÑüÈý½ÇÐÎµÄÆ½ÐÐËıßÐÎÊÇÁâÐΣ» £¨C£©Ò»×éÁڱ߻¥Ïà´¹Ö±£¬Á½×é¶Ô±ß·Ö±ðƽÐеÄËıßÐÎÊǾØÐΣ» £¨D£©ÓÐÒ»×éÁÚ±ßÏàµÈÇÒ»¥Ïà´¹Ö±µÄƽÐÐËıßÐÎÊÇÕý·½ÐΣ® ÌâºÅ ´ð°¸ 1 2 3 4 5 6 D B C A C B ãÉÐÐÇø
Ò»¡¢Ñ¡ÔñÌ⣺£¨±¾´óÌâ¹²6Ì⣬ÿÌâ4·Ö£¬Âú·Ö24·Ö£©
¡¾ÏÂÁи÷ÌâµÄËĸöÑ¡ÏîÖУ¬ÓÐÇÒÖ»ÓÐÒ»¸öÑ¡ÏîÊÇÕýÈ·µÄ£¬ÇëÑ¡ÔñÕýÈ·Ñ¡ÏîµÄ´úºÅ²¢ÌîÍ¿ÔÚ´ðÌâÖ½µÄÏàӦλÖÃÉÏ¡¿
1£®ÔÚÏÂÁи÷ʽÖУ¬¶þ´Îµ¥ÏîʽÊÇ £¨A£©x2?1£»
1£¨B£©xy2£»
3£¨C£©2xy£»
1£¨D£©(?)2£®
22£®ÏÂÁÐÔËËã½á¹ûÕýÈ·µÄÊÇ £¨A£©(a?b)2?a2?b2£» £¨C£©a3?a2?a5£»
3£®ÔÚÆ½ÃæÖ±½Ç×ø±êϵÖУ¬·´±ÈÀýº¯Êýy?ͼÏñµÄÁ½¸ö·ÖÖ§·Ö±ðÔÚ £¨A£©µÚÒ»¡¢ÈýÏóÏÞ£» £¨C£©µÚÒ»¡¢¶þÏóÏÞ£»
£¨B£©µÚ¶þ¡¢ËÄÏóÏÞ£» £¨D£©µÚÈý¡¢ËÄÏóÏÞ£® £¨B£©2a2?a?3a3£» £¨D£©2a?1?1(a?0)£® 2ak(k?0)ͼÏñÔÚÿ¸öÏóÏÞÄÚyËæ×ÅxµÄÔö´ó¶ø¼õС£¬ÄÇôËüµÄx4£®ÓÐ9ÃûѧÉú²Î¼ÓУÃñÀÖ¾öÈü£¬×îÖճɼ¨¸÷²»Ïàͬ£¬ÆäÖÐÒ»ÃûͬѧÏëÒªÖªµÀ×Ô¼ºÊÇ·ñ½øÈëǰ5Ãû£¬²»½öÒªÁ˽â×Ô¼ºµÄ³É¼¨£¬»¹ÒªÁ˽âÕâ9ÃûѧÉú³É¼¨µÄ £¨A£©Æ½¾ùÊý£»
£¨B£©ÖÐλÊý£»
£¨C£©ÖÚÊý£»
£¨D£©·½²î£®
5£®ÒÑÖªËıßÐÎABCDÊÇÆ½ÐÐËıßÐΣ¬ÏÂÁнáÂÛÖв»ÕýÈ·µÄÊÇ £¨A£©µ±AB = BCʱ£¬ËıßÐÎABCDÊÇÁâÐΣ» £¨B£©µ±AC¡ÍBDʱ£¬ËıßÐÎABCDÊÇÁâÐΣ» £¨C£©µ±¡ÏABC = 90oʱ£¬ËıßÐÎABCDÊǾØÐΣ»
£¨D£©µ±AC = BDʱ£¬ËıßÐÎABCDÊÇÕý·½ÐΣ®
6£®µãAÔÚÔ²OÉÏ£¬ÒÑÖªÔ²OµÄ°ë¾¶ÊÇ4£¬Èç¹ûµãAµ½Ö±ÏßaµÄ¾àÀëÊÇ8£¬ÄÇôԲO ÓëÖ±ÏßaµÄλÖùØÏµ¿ÉÄÜÊÇ
£¨A£©Ïཻ£» £¨B£©ÏàÀ룻 £¨C£©ÏàÇлòÏཻ£» £¨D£©ÏàÇлòÏàÀ룮 Ò»¡¢Ñ¡ÔñÌ⣺£¨±¾´óÌâ¹²6Ì⣬ÿÌâ4·Ö£¬Âú·Ö24·Ö£© 1£®C £»2£®C £»3£®A£»4£®B£»5£®D£»6£®D£®
ÆÕÍÓÇø
1. ÏÂÁмÆËãÖУ¬´íÎóµÄÊÇ ¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤ £¨¡ø£© £¨A£©2018?1£» £¨B£©?2?4£»
021£¨C£©421?2£» £¨D£©3?1?£®
32.ÏÂÁжþ´Î¸ùʽÖУ¬×î¼ò¶þ´Î¸ùʽÊÇ ¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤ £¨¡ø£© £¨A£©9a£» £¨B£©5a3£» £¨C£©a2?b2£» £¨D£©
a?1£® 23.Èç¹û¹ØÓÚxµÄ·½³Ìx2?2x?c?0ûÓÐʵÊý¸ù£¬ÄÇôcÔÚ2¡¢1¡¢0¡¢?3ÖÐȡֵÊÇ ¡¤¡¤¡¤ £¨¡ø£© £¨A£©2£» £¨B£©£» £¨C£©0£» £¨D£©?3£®
4.Èçͼ1£¬ÒÑÖªÖ±ÏßAB//CD£¬µãE¡¢F·Ö±ðÔÚAB¡¢CDÉÏ£¬?CFE:?EFB?3:4£¬Èç¹û?B?40£¬ÄÇô?BEF£½ ¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤ £¨¡ø£© £¨A£©20£» £¨B£©40£» £¨C£©60£» £¨D£©80£®
A
E
B
C
F
D
ͼ1
5. ×Ô1993ÄêÆð£¬ÁªºÏ¹ú½«Ã¿ÄêµÄ3ÔÂ22ÈÕ¶¨Îª¡°ÊÀ½çË®ÈÕ¡±£¬×ÚÖ¼ÊÇ»½Æð¹«ÖڵĽÚË®Òâʶ£¬¼Óǿˮ×ÊÔ´±£»¤£®Ä³Ð£ÔÚ¿ªÕ¹¡°½ÚԼÿһµÎË®¡±µÄ»î¶¯ÖУ¬´Ó³õÈýÄê¼¶Ëæ»úÑ¡³ö20ÃûѧÉúͳ¼Æ³ö¸÷×Ô¼ÒÍ¥Ò»¸öÔµĽÚÔ¼ÓÃË®Á¿£¬ÓйØÊý¾ÝÕûÀíÈçÏÂ±í£® ½ÚÔ¼ÓÃË®Á¿£¨µ¥Î»£º¶Ö£© ¼ÒÍ¥Êý 1 4 1.2 6 1.4 5 2 3 2.5 2 Õâ×éÊý¾ÝµÄÖÐλÊýºÍÖÚÊý·Ö±ðÊÇ ¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤ £¨¡ø£© £¨A£©1.2£¬1.2£» £¨B£©1.4£¬1.2£» £¨C£©1.3£¬1.4£» £¨D£©1.3£¬1.2£®
6. Èçͼ2£¬ÒÑÖªÁ½¸öÈ«µÈµÄÖ±½ÇÈý½ÇÐÎֽƬµÄÖ±½Ç±ß·Ö±ðΪa¡¢b(a?b)£¬½«ÕâÁ½¸öÈý½ÇÐεÄÒ»×éµÈ±ßÖØºÏ£¬Æ´ºÏ³ÉÒ»¸öÎÞÖØµþµÄ¼¸ºÎͼÐΣ¬ÆäÖÐÖá¶Ô³ÆÍ¼ÐÎÓÐ ¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤ £¨¡ø£©