如圖,直線y=43x與雙曲線y=kx(x>0)交于點(diǎn)A、將直線y=43x向右平移92個(gè)單位后,與雙曲線y=kx(x>0)交于點(diǎn)B,與x軸交于點(diǎn)C,若AOBC=2,則k的值為( ?。?A.2 B.6 C.12 D.8
如圖,直線y=
x與雙曲線y=
(x>0)交于點(diǎn)A、將直線y=
x向右平移
個(gè)單位后,與雙曲線y=
(x>0)交于點(diǎn)B,與x軸交于點(diǎn)C,若
=2,則k的值為( ?。?br/>
A. 2
B. 6
C. 12
D. 8
4 |
3 |
k |
x |
4 |
3 |
9 |
2 |
k |
x |
AO |
BC |
![](http://hiphotos.baidu.com/zhidao/pic/item/0823dd54564e9258cebb315f9f82d158cdbf4ef7.jpg)
B. 6
C. 12
D. 8
數(shù)學(xué)人氣:559 ℃時(shí)間:2019-10-10 03:44:42
優(yōu)質(zhì)解答
將直線y=43x向右平移92個(gè)單位后得:直線BC:y=43(x-92)=43x-6;設(shè)A(x,43x),AOBC=2,則B(x2+92,23x);由于A、B都在雙曲線的函數(shù)圖象上,故:k=x?43x=(x2+92)?23x,整理得:x2-3x=0,解得x=0(舍去),x...
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