优优班--学霸训练营 > 知识点挑题
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            • 1.

              已知\(f\left(x\right)=\sin x+ \sqrt{3}\cos x\left(x∈R\right) \),函数\(y=f(x+φ)\)的图象关于直线\(x=0\)对称,则\(φ\)的值可以是\((\)  \()\)

              A.\( \dfrac{π}{2} \)
              B.\( \dfrac{π}{3} \)
              C.\( \dfrac{π}{4} \)
              D.\( \dfrac{π}{6} \)
            • 2.

              已知\(f(x)=\sin x+\sqrt{3}\cos x\ \ (x\in R)\),函数\(y=f(x+\phi )\)的图象关于直线\(x=0\)对称,则\(\varphi \)的值可以是   

              A.\(\dfrac{\pi }{2}\)
              B.\(\dfrac{\pi }{6}\)
              C.\(\dfrac{\pi }{3}\)
              D.\(\dfrac{\pi }{4}\) 
            • 3.
              一束光线从点\(A(-1,1)\)出发,经\(x\)轴反射到圆\(C\):\((x-2)^{2}+(y-3)^{2}=1\)上的最短路程是\((\)  \()\)
              A.\(3 \sqrt {2}-1\)
              B.\(2 \sqrt {6}\)
              C.\(4\)
              D.\(5\)
            • 4.
              \(P(2,5)\)关于直线\(x+y=0\)的对称点的坐标是\((\)  \()\)
              A.\((5,2)\)
              B.\((2,-5)\)
              C.\((-5,-2)\)
              D.\((-2,-5)\)
            • 5.
              已知定义在\(R\)上的函数\(f(x)\)关于直线\(x=1\)对称,若\(f(x)=x(1-x)(x\geqslant 1)\),则\(f(-2)=(\)  \()\)
              A.\(0\)
              B.\(-2\)
              C.\(-6\)
              D.\(-12\)
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