2.11

..

.:

1. . 2. . 3. . 4. .

1. . 2. y=x+ (a0). 3. y=N(1+p)x. 4. . .

3 min0.23 min1 min0.11 min1 mins()t(min)( )

B.

.0.2 mg/mL.0.8 mg/mLxy=0.8( )x_____( ) A. 1 B. 2 C. 3 D. 4

x0.8( )x0.2 ( )x x2B. f(m)=1.06(0.5[m]+1)(),m>0,[m]m([3]=3,[3.8]=4),5.5( ) A. 3.71 B. 3.97 C. 4.24 D. 4.77 f(5.5)=1.06(0.5[5.5]+1)=4.24,C.C

1. . 1

1010? f(x)=k1xg(x)=k2 . ,f(1)= g(4)= k1= k2= f(x)= g(x)= x,10-x(),y,

=6.25 3.756.25 . ..,,,.

100a (a).x.2x%(0x100)1.2a.

x:(100-x)a(1+2x%)100a. a0x00x50. f(x)f(x)=(100-x)a(1+2x%)+1.2ax-100a f(x)=-0.02a(x2-110x)=-0.02a(x-55)2+60.5a. x(0,50,f(x)(0,50 x=50f(x)max=60a. 50.

2. S,,c/,(),v(/),b,a. (1)y()v(/),; (2),.2

(1) (2) ,y >cv>0

v(0,c v=cy ,,..

6,1800,3,900.:100,9( 90%),?. x6x.

x=10.

y2x17+)x=17y29926992610980.

3. 30P()t()3

30Q()t()

(1)Pt (2)(tQ)Qt

t5152030Q/35252010

(3)30(=). (1)Pt

(2)(tQ) .

(535)(1525)(2020)(3010)lQ=kt+b. (535)(3010)lQ=-t+40. (1525)(2020)l.QtQ=-t+40(0t30tN*). (3)y()

0t25(tN*),t=10,ymax=900. 25t30(tN*),t=25,ymax=1125. 1125900,ymax=1125.1125,3025.

..

x yy=f(x) ,x04 ,x=4 ;x(4,20, 240,. (1)y=f(x) (2)800,,.

(1)0x4y=a(x-4)2+320 x=0y=0a16+320=0 a=-20.y=-20(x-4)2+320. 4x20y=kx+b (4320)(200)y=400-20x.

(2)x

y1240 2x44x82x8. 81600.y2

y2240

10x1212x1610x16 16y1+y2 16x18. 18200.

1. ()(). 2. .