函數(shù)模型的應(yīng)用（二）課件-2024-2025學(xué)年高一上學(xué)期數(shù)學(xué)人教A版（2019）必修第一冊(cè)

4.5函數(shù)的應(yīng)用（二）4.5.3函數(shù)模型的應(yīng)用（二）復(fù)習(xí)回顧在分界點(diǎn)的右側(cè)例題分析例5.假設(shè)你有一筆資金用于投資，現(xiàn)有三種投資方案供你選擇，這三種方案的回報(bào)如下：方案一：每天回報(bào)40元；長期投資應(yīng)選擇方案三方案二：第一天回報(bào)10元，以后每天比前一天多回報(bào)10元；方案三：第一天回報(bào)0.4元，以后每天的回報(bào)比前一天翻一番.請(qǐng)問，你會(huì)選擇哪種投資方案？定量計(jì)算方案一方案二方案三xy=40y=10xy=0.4*2x-112短期投資應(yīng)選擇方案一或者方案二345678910...長期投資應(yīng)選擇方案三e4r0ies1,?11S,

e4r0ies1,?12,?40定性分析每天的回報(bào)金額圖長期投資應(yīng)選擇方案三指140120100806040200Series2,?12,?120Series2,?11,?110Series3,?9,?102.4Series2,?10,?100Series2,?9,?90Series2,?8,?80Series2,?7,?70Series2,?6,?60Series2,?5,?50Series1,?1,?S4e0ries1,?2,?S4e0ries1,?3,?S4e0ries21,?4,?S4e0ries1,?5,?S4e0ries1,?6,?S4e0ries1,?7,?S4e0ries1,?8,?S4e0ries1,?9,?S4e0ries1,?10S,合理嗎？Series3,?8,?51.2Series2,?3,?30Series2,?2,?20Series2,?1,?10短期投資：以累計(jì)的回報(bào)金額為依據(jù)Series3,?7,?25.6Series3,?6,?12.8Series3,?5,?6.4Series3,?4,?3.2Series3,?3,?1.6Series3,?1,?S0e.4ries3,?2,?0.802468101214定量計(jì)算方案一方案二方案三x投資7天以內(nèi)應(yīng)選擇方案一y=40y=10xy=0.4*2x-1123投資7天，應(yīng)選方案一或二;投資8~10天應(yīng)選擇方案二456789投資10天以上應(yīng)選擇方案三1011定性分析累計(jì)的回報(bào)金額圖900Series3,?11,?818.8Series2,?11,?6508007006005004003002001000Series2,?10,?550Series2,?9,?450Series1,?11,?440Series3,?10,?409.2Series1,?10,?400Series2,?8,?36S0eries1,?9,?360Series1,?8,?320Series12,?7,?280Series1,?6,?240Series2,?6,?210Series3,?9,?204.4Series1,?5,?200Series1,?4,?160Series2,?5,?150Series2,?4,?100Series2,?3,?60Series1,?3,?120Series1,?2,?80Series1,?1,?40Series3,?1,?0.S4eries3,?2,?1.S2eries3,?3,?2.8Series3,?8,?102Series3,?7,?50.8Series3,?6,?25.2Series2,?2,?30Series2,?1,?10Series3,?4,?6Series3,?5,?12.4024681012Series312,?S1e,r041i

e.04s

32

,

?

SS2

ee,定性分析累計(jì)的回報(bào)金額圖指數(shù)爆炸1600014000120001000080006000400020000Series3,?16,?13516.4Series3,?15,?6962.8Series3,?14,?3686Series3,?13,?2047.6Series2,?16,?1360Series2,?15,?1200Series2,?14,?1050Series2,?13,?910Series3,?12,?1228.4Series3,?S1e1r,?8es128,.?812,?780Series2,?11,?660Series2,?10,?550Series1,?S1e4r,

00i

e5

Ss61e0,r?i1e5s

1,

,?16,?640Series2,?S9e,?r4ie5s03,?10,?409.2Series1,?S1e2r,ie4s810,?13,

5201

Ser

es10,?11,440Series2,?7,?2801

S

rie2s1,?9,

360Series2,?8,?360Series12,?6,?24101Series3,?9,?204.4Series1,?S2e,r8i0es1,?S3e,rr13ii

ee.02ss

32

,,

??

S33

e,,

r26i

.0e8s

3

,

?S4e,r1i

e2s012

,

?S4e,?r6ies3,?S5e,

r1i

e2s.

43

,

?S6e,r1ie60s012,?5,

2105

0?r2ie5s.23,?7,?50.8Series3,?8,?102024681012141618例題分析SSeSereri

rieei

ses2s22,

,

0101.

04

2,1,,

01.,654321數(shù)形結(jié)合SeSreierise3s,?

,?SSeer

ri

ei

ess32,

?

?880055,

?,

?

5.

9

9SeSreierise3s,?

,?

S

eSrei

reise2s

,3880066,

,?5.0028078,?057.0,?253,?880044,

,?5.983選擇獎(jiǎng)勵(lì)問題圖876543210Series1,?30,?7.50803.5805.5807.5Series2,?900,?6.039Series1,?20,?5Series2,?800,?4.94Series3,?900,?4.496Series3,?800,?4.435Series3,?600,?4.287Series2,?600,?3.316Series3,?400,?4.079Series2,?400,?2.224Series3,?200,?3.723Series3,?150,?3.575Series3,?100,?3.367Series3,?55,?3.059Series3,?30,?2.748Series3,?20,?2.54Series1,?10,?2.5Series3,?10,?2.183Series3,?5,?1.827Series2,?200,?1.491Series2,?150,?1.349Series3,?2,?1.356Series1,?5,?1.25Series2,?100,?1.221Series2,?55,?1.116S

eSrei

er

ise2s,22,

?03,01,

?.10.4016

2Series1,?2,?0.502004006008001000回顧例題怎樣處理這個(gè)限制條件呢？SSeSereri

rieei

ses2s22,

,

0101.

04

2,1,,

01.,32.52Series1,?11,?2.75數(shù)形結(jié)合Series1,?10,?2.5Series1S,?e9r,?ies2,?11,?Series2,?10,?Series2,?9,?Series22,?.82,?2.2322.183182,

?92SerieSse2ri,e6se,

2i,

?

7s,2?

2,.2.069Series2,?5,?1.8271.S9e2r1ies1,?7,?Series2,?4,?Series2,?3,?1.7121.75Series1,?6,?1.51.511.565Series2,?2,?Series1,?5,?1.3011.25選擇獎(jiǎng)勵(lì)問題圖Series2,?1,?1Series1,?4,?1Series1,?3,?876543210Series2,?0.5,?0.75Series1,?2,?0.6440.500.5Series1,?30,?7.5Series1,?1,?Series1,?0.5,?0.250.125051015Series2,?900,?6.039Series1,?20,?5Series2,?800,?4.94Series3,?900,?4.496Series3,?800,?4.435Series3,?600,?4.287Series2,?600,?3.316Series3,?400,?4.079Series2,?400,?2.224Series3,?200,?3.723Series3,?150,?3.575Series3,?100,?3.367Series3,?55,?3.059Series3,?30,?2.748Series3,?20,?2.54Series1,?10,?2.5Series3,?10,?2.183Series3,?5,?1.827Series2,?200,?1.491Series2,?150,?1.349Series3,?2,?1.356Series1,?5,?1.25Series2,?100,?1.221Series2,?55,?1.116S

eSrei

er

ise2s,22,

?03,01,

?.10.4016

2Series1,?2,?0.502004006008001000Series2,?900,?6.039SSeSereri

rieei

ses2s22,

,

0101.

04

2,1,,

01.,0-50SeSreierise1s,1,?50,?10,Series1,?0-

0

.-391.

47950010001500數(shù)形結(jié)合100,?-21.633Series1,?200,?-46.277Series1,?400,?-95.921-100-150-200-250-300Series1,?600,?-145.713選擇獎(jiǎng)勵(lì)問題圖Series1,?800,?-195.565876543210Series1,?1000,?-245.45Series1,?30,?7.5Series1,?20,?5Series2,?800,?4.94Series3,?900,?4.496Series3,?800,?4.435Series3,?600,?4.287Series2,?600,?3.316Series3,?400,?4.079Series2,?400,?2.224Series3,?200,?3.723Series3,?150,?3.575Series3,?100,?3.367Series3,?55,?3.059Series3,?30,?2.748Series3,?20,?2.54Series1,?10,?2.5Series3,?10,?2.183Series3,?5,?1.827Series2,?200,?1.491Series2,?150,?1.349Series3,?2,?1.356Series1,?5,?1.25Series2,?100,?1.221Series2,?55,?1.116S

eSrei

er

ise2s,22,

?03,01,

?.10.4016

2Series1,?2,?0.502004006008001000方案反思876543210分段限制獎(jiǎng)金的上限Series1,?30,?7.5Series1,?20,?5Series2,?900,?4.496Series2,?800,?4.435Series2,?600,?4.287Series2,?400,?4.079Series2,?200,?3.723Series2,?150,?3.575Series2,?100,?3.367Series2,?55,?3.05