已知函数f(x)和g(x)的图象关于原点对称,且f(x)=x2+2x.若函数h(x)=g(x)﹣λf(x)+1在[﹣1,1]上是增函数,求实数λ的取值范围.
解:根据已知条件知,g(﹣x)=﹣f(x)=﹣x2﹣2x=﹣(﹣x)2+2(﹣x);
∴g(x)=﹣x2+2x;
∴h(x)=﹣x2+2x﹣λ(x2+2x)+1=(﹣1﹣λ)x2+(2﹣2λ)x+1;
即h(x)=(﹣1﹣λ)x2+(2﹣2λ)x+1;
①若λ=﹣1,h(x)=4x+1,满足在﹣1,
I drink orange juice every day.(改为一般过去式)
I____orange juice yesterday.
I'm Jim. Today is my birthday. I want to thank my family for their love. So I cook dinner for them. I know my mother likes hamburgers and salad. But my father likes chicken and tomato soup(汤). I have a brother. He likes hamburgers, too. But he doesn't like salad. He likes carrots. I have a sister, too. She likes fish(鱼肉) and bread. I like chicken and strawberries. I will buy these things for the birthday party.