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High school mathematics problem-solving process
P is a false proposition.

A∩B= empty set

x? -3x+2≤0

1≤x≤2

∴y<; 1 or y>2

y=x? -2x+a=(x- 1)? +a- 1

B={yly≥a- 1}

∴y>; 2

a- 1 >2

A> III

∴a>; three

P∧q is true.

P and G are telling the truth.

A∩B≠ empty set

a- 1≤2

a≤3

x? -ax-4≤0

(a-√a? + 16)/2≤x≤(a+√a? + 16)/2

A is contained in C.

∴(a-√a? + 16)/2≤ 1

a-2≤√a? + 16

When a≤2, it is obviously true.

When a>2

Answer? -4a+4≤a? + 16

a≥-3

∴a∈R

(a+√a? + 16)/2≥2

√a? + 16≥4-a

When a≥4, it is obviously true.

When a<4,

Answer? + 16≥a? -8a+ 16

a≥0

∴a≥0

finally

0≤a≤3