指数函数及其性质教学教案.doc

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_ 1. 2. (1) (2)(3)3.4.5. xy=a(a>0a1)xar. 1y=a(a>0a1)y?2?3y?2xx1xy?3x?12a1x?x?0a0a?0? xx?0,a.?a?0y?(?4)x?xx11,x?,?24a?1y?1?11a?10?a?1 20?a?1x?,y?0a?1x?,y?0 a?1ay 0?a?1ay?1?3y?ay?y?a?xx 1 y?ay?b y?cx y?dx0ba1dcx(0,+)bx?ax?dx?cx x(,0)bx?ax?dx?cx 2xxy?2x,y?3x,1y?()x,21y?()x3(1). (2) (3) (4)a?b?0?a?ba?b?0?a?ba?b?0?a?b 1y?(a?3a?3)aa 2y?(a?3a?3)a2x2xaa?1?1 bb?a2?3a?3?1,?a?1a?2,?a?2a?0a?1,?a?0,a?1,12101x11y?42y?x3y?44y?(?4) 5y?(2a?1)x(a?x4xx1a?1)6y?4?x 2x156?1?1566y?4=?2?4?xx43-14x4?4?02.3xxx(1)y?(2)y=4-2+1(4)y?x1?31r(01)2r 1)3?1?3?,? ?0,?4(-1)1+) ,?)24?1a)(a+)x(1)r (x?r3-1).(1?3x)?11xx?1? y? 3>0 1+3>1 xx1?31?311 ?1?1?01?3x1?3x1 0?1?1 (01).1?3x1231xx2xxx(2)ry?(2)?2?1?(2?)? 2>0 2? x=-1y242333y ,?). 44412x?1(3)3?032x?1?3?2y?3x9 0?1?1?2x?1?2x?,?0,?.2?2?(4)2xx?1?1?0 (-1)1+) x?1x?1x?1x?1?0?1 y?ax?1x?12x?1x?1?1y?a2x?1x?1?a 1a)(a+).(3)y>0(4)x?12?1. x?1x?11x-1(1)y?2. (2)y?2(3)y?y?a?0,a?1)3?0?0<a<1?0+? 1r2?-?3?0,+?4a>1?-?(1)r3? (2)3-x0x?3?-?(3) 2-1021x0?0,+?xx0?0<a<1?0+?. (4) 1?a?0a?1a>1?-?xx.3f(x)?1?3?x2?2xx2?2x?1?xr?3?0f(x)f(x)11+ 03 f(x)+x1x2+x1x2?1?f(x2)?3?2x2?2x21?1?f(x1)?3?x2?2x1?1?22x2?x1?2(x2?x1)(x2?x1)(x2?x1?2)?f(x2)?3?11? ?2?x1?2x1f(x1)?1?3?3?3?1x1x21x1+x22x1+x2202x2?2x2?1?x2x10(x2Dx1)(x2+x1D2)0?3?(x2?x1)(x2?x1?2)?1xrf(x)?0f(x2)?f(x1)f(x)121x1x2x1+x22x1+x220 x2x10(x2Dx1)(x2+x1D2)0?1?0?3?(x2?x1)(x2?x1?2)?1f(x2)?f(x1)f(x)1+f(x)11+1?1?x2D2x=(xD1)2D110?10?3?3?f(x)03x2?2x?1?3 ?3?1?1?f(x)ru=x22xf(u)?3?1?u=xD2x=(xD1)D1D1f(u)?f(x)?3?22uu1?1?f(u)?u=x2D2x=(xD1)2D11+f(x)?3?1+y?aa1y?af(x)f(x)uf(x)y?f(x)0a1y?ay?f(x)1y?3?x2?3x?2.133x?(?,x?,?). (0,34221u=-x+3x-2 y=32 3.2uu=-x+3x-2 y=3y=3ru=-x+3x-2x?(?,u22u321 y?(a?1)x(?) a 0?a?1 b ?1?a?0 c a?1 d a?1 23x?10 a b c x?2d 3f(x)?23?x(?0) a b c d 4y?ax(a?0a?1)y?(1?a)x y yy ox a bcd5f(x)?2x?1f(x)?0 a ?xx?0? b ?xx?1? c ?xx?0? d ?xx?1?6f(x)?2xg(x)?x?2f(x)?g(x) a ? b c d 7y?ax?(b?1)a?0a?1 aa?1b?1b0?a?1b?1 c0?a?1b?0da?1b?0 8f(x)=(1+22x?1)?f(x)(x?0)f(x)f(x)( ) a b c d 9 y?32?2x_10 f(x)?ax(2116)_11 f(x)?2x_g(x)?2x?212 f(x)?(2)f(x)_13f(x)?2xx1x2x1?x2 1f(x1)?f(x2)?f(x1?x222).2x14 y?2?x215f(x)?ax?1ax?1(a?0a?1) 1f(x) 2f(x) 3f(x)1fx=(a2- 1)xraaa?1 ba?2 ca<2 d1<a?22.f(x+1)=12f(x)( ) a 12(x+1) bx+1x -x4c 2 d23.f(x)=(1+ax)2?a?xabcd4y=2x?12x?1abcd 5y=12x?1 a-?,1 b-?,00+c-1+ d-10+6r+ 1ay=52?xby=(11-x3) cy=(1x2)?1dy=?2x 70<a<1,b<-1,y=ax+b ab cd 8y=15xx?1?19y=(1?2x2?8x?13)(-3?x?1)10x=a(a>0)y=(1x1xxx3),y=(2),y=2,y=10abcd11y=32?3x212f(52x-1)=x-2,f(125)=13x2a2x?27ax?1+3=02, a14af(x)?a?22x?1(x?r)a,f(x)15f(x)=|a?1|a2?9(axa?x)(a>0a1)(, +), a()p545820091011224xyxy=2xxn*2113333999xyxy=3xxn*y=2xy=3xay=ax(a>0a1)xr2a?0a?1aa?0,a?00?a?1,a?1a?1(1)a?0, y?(?4)xx?,x?x?x?0,a?0(2)a?0? x?x?0,a1412(3)a?1y?1x?1(4)0?a?1a?1a?0a?1x* a?0a?1x,r1xy?()y?3xy?(1)xy?223x0?a?1a?1 31 84%xy1y?1?84%?0.8412y?84%?84%?0.842xy?0.84xy?0.84xy?0.5x?44
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