Question

Ó泡ÖÐÓãȺµÄ×î´óÑøÖ³Á¿Îªm¶Ö£¬Îª±£Ö¤ÓãȺµÄÉú³¤¿Õ¼ä£¬Êµ¼ÊÑøÖ³Á¿²»ÄÜ´ïµ½×î´óÑøÖ³Á¿£¬±ØÐëÁôÒ²Êʵ±µÄ¿ÕÏÐÁ¿£®ÒÑÖªÓãȺµÄÄêÔö³¤Á¿y¶ÖºÍʵ¼ÊÑøÖ³Á¿x¶ÖÓë¿ÕÏÐÂʵij˻ý³ÉÕý±È£¬±ÈÀýϵÊýΪk£¨k£¾0£©£®£¨¿ÕÏÐÂÊΪ¿ÕÏÐÁ¿Óë×î´óÑøÖ³Á¿µÄ±ÈÖµ£©£®
£¨1£©Ð´³öy¹ØÓÚxµÄº¯Êý¹Øϵʽ£¬²¢Ö¸³öÕâ¸öº¯ÊýµÄ¶¨ÒåÓò£»
£¨2£©ÇóÓãȺÄêÔö³¤Á¿µÄ×î´óÖµ£»
£¨3£©µ±ÓãȺµÄÄêÔö³¤Á¿´ïµ½×î´óֵֵʱ£¬ÇókµÄÈ¡Öµ·¶Î§£®

Answer 1

£¨1£©ÓÉÌâÒ⣬¿ÕÏÐÂÊΪ 1-

x

m

£¬
¡ày=kx£¨1-

x

m

£©£¬¶¨ÒåÓòΪ£¨0£¬m£©£»
£¨2£©ÓÉ£¨1£©µÃ
y=kx£¨1-

x

m

£©=-

k

m

(x-

m

2

)2+

km

4

£¬
ÒòΪ x¡Ê£¨0£¬m£©£¬k£¾0£»
ËùÒÔµ±x=

m

2

ʱ£¬ymax=

km

4

£¨3£©ÓÉÌâÒâÓÐ 0£¼x+y£¼m
¼´£º0£¼

m

2

+

km

4

£¼m
ÒòΪm£¾0£¬½âµÃ-2£¼k£¼2
ÓÖk£¾0
¹ÊkµÄÈ¡È¡Öµ·¶Î§Îª£¨0£¬2£©£®