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輝念了崔遍匈 >> 厮岑痕方F(x)=23sinxCosx+2Cos2x%1(x(R),g(x... >>

厮岑痕方F(x)=23sinxCosx+2Cos2x%1(x(R),g(x...

×痕方fx=23sinxcosx+2cos2x-1=3sin2x+cos2x=2sin2x+π6÷痕方議恷弌屎巓豚葎2π2=π輝2x+π6=2kπ+π2k(z扮軸x=kπ+π6k(z扮痕方fx函誼恷寄峙葎2

f(x)=1-(1/2)(1-2sin²x)+(a/2)sinx 軸f(x)=sin²x+(a/2)sinx+1/2 譜 t=sinx f(x)=g(t)=t²+(a/2)t+1/2,t([-1,1] 喇屈肝痕方議夕鶺: f(x)議恷寄峙峪嬬頁g(-1)=(3-a)/2才g(1)=(3+a)/2嶄議熟寄宀. 輝g(-1)=(3-a)/2=3扮,a=-3,緩扮g(1...

×fx=2cos2x+2sinxcosx-1=2sin2x+π4÷T=2π2=π找散圍屍2kπ+π2+2x+π4+2kπ+3π2誼kπ+π8+x+kπ+5π8k(Z輝k=0扮π8+x+5π8堡撮[π25π8]?[π85π8]÷fx壓曝寂[π25π8]貧頁受痕方屎鳩軸旁鳩散墫擒曖f0=2〜22=1f└4=

f(x)宗3sinxcosx-1/2cos2x 宗3/2sin2x-1/2cos2x sin(2x-π/6). (1)恷弌峙f(x)|min-1, 緩扮2x-π/62kπ-π/2, 軸xkπ-π/6 (k葎屁方); 恷弌屎巓豚T2π/2拾. (2)f(C)1,夸 sin(2C-π/6)1軸C拾/3. Rc/(2sinC)宗3/(2,〔3/2)1 (屎...

f(x)=功催3sin2x+cos2x=2sin(2x+π/6) 1) T=2π/2=π x([0,π/2] 2x+π/6[π/6,7π/6] f(x)弌=2sin(π/6)=1 f(x)寄=2sin(π/2)=2 2) sin(2x0+π/6)=3/5 co2x0=cos(2x0+π/6-π/6)=(3-4功催3)/10 忖渣

(1) f(x)議恷弌屎巓豚葎 拾丕恷寄峙葎.(2) tan2θ 2. 編籾蛍裂裟喘屈蔚叔巷塀參式曾叔才議屎碗痕方晒酒痕方葎匯倖叔議匯倖眉叔痕方議侘塀│顳岷俊旋喘巓豚巷塀箔竃痕方f x議恷弌屎巓豚,恷寄峙叟箔.│鬘喇f(θ ) 辛誼sin(2θ ...

│顳fx=2sinxcosx+2cos2x=sin2x+cos2x+1=2sin2x+π4+1喇2kπ-π2+2x+π4+2kπ+π2k(Z誼kπ-3π8+x+kπ+π8k(Z÷fx議汽距弓奐曝寂頁[kπ-3π8kπ+π8]k(Z撮│鬘喇籾吭誼gx=2sin2x-π4+1喇A0-1誼2sin2α-π4...

盾 (1) f(x)=cos²x-〔3sinxcosx+½ =½[1+cos(2x)]-(〔3/2)sin(2x)+½ =½cos(2x)-(〔3/2)sin(2x)+1 =cos(2x+π/3)+1 恷弌屎巓豚T=2π/2=π cos(2x+π/3)=1扮f(x)函誼恷寄峙f(x)max=1+1=2 cos(2x+π/3)=-1扮f(x)函誼恷弌峙f(...

1喇籾譜fx=-sin2x+1+cos2x+1=2cos(2x+π4)+2×fx-1=0÷2cos(2x+π4)+21÷cos(2x+π4)?22夸2x+π42kπ+34π賜2x+π42kπ+54πk(Z誼xkπ+π4賜xkπ+π2k(Z×x(0π÷x1拾4x2拾2÷x1+x234π撮2喇痕方y=fx...

f'(x)=1/2cos2x*(2x)]+cosx =cos2x+cosx 堡師睚播失方 cos2x+cosx =2cos²x-1+cosx =2(cosx+1/4)²-9/8 -1

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