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①當(dāng)a<0時(shí),由圖①可知,
f(x)min=f(0)=-1,
f(x)max=f(2)=3-4a.
②當(dāng)0≤a<1時(shí),由圖②可知,
f(x)min=f(a)=-1-a2,f(x)max=f(2)=3-4a.
③當(dāng)1≤a≤2時(shí),由圖③可知,
f(x)min=f(a)=-1-a2,
f(x)max=f(0)=-1.
④當(dāng)a>2時(shí),由圖④可知,
f(x)min=f(2)=3-4a,
f(x)max=f(0)=-1.
綜上所述,
當(dāng)a<0時(shí),f(x)min=-1,f(x)max=3-4a;
當(dāng)0≤a<1時(shí),f(x)min=-1-a2,f(x)max=3-4a;
當(dāng)1≤a≤2時(shí),f(x)min=-1-a2,f(x)max=-1;
當(dāng)a>2時(shí),f(x)min=3-4a,f(x)max=-1.