★★已知集合A={x|-2≤x≤a},B={y|y=2x+3,x∈A},C={z|z=x²,x∈A},且C⊆B,求a的取值范围,

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★★已知集合A={x|-2≤x≤a},B={y|y=2x+3,x∈A},C={z|z=x²,x∈A},且C⊆B,求a的取值范围,
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★★已知集合A={x|-2≤x≤a},B={y|y=2x+3,x∈A},C={z|z=x²,x∈A},且C⊆B,求a的取值范围,
★★已知集合A={x|-2≤x≤a},B={y|y=2x+3,x∈A},C={z|z=x²,x∈A},且C⊆B,求a的取值范围,

★★已知集合A={x|-2≤x≤a},B={y|y=2x+3,x∈A},C={z|z=x²,x∈A},且C⊆B,求a的取值范围,
当-2<=a<=0时,B={y|-1<=y<=2a+3} C={z|a^2<=z<=4}
此时-1<=a^2 4<=2a+3
得到a>=1/2
此时无解
当0此时4<=2a+3
得到a>=1/2
故1/2<=a<=2
当a>2时,B={y|-1<=y<=2a+3} C={z|0<=z<=a^2}
故a^2<=2a+3
得到-1<=a<=3
故2综合得到1/2<=a<=3

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