知识点挑题 - 初中数学 - 优优班--学霸训练营

1．

计算：\(3\tan 30{}^\circ +\left| 1-\sqrt{3} \right|+{{(2-\pi )}^{0}}-{{(\dfrac{1}{3})}^{-1}}\)．

难度：易

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2．
计算：
\((1) \sqrt {8}+ \sqrt {32}- \sqrt {2}\)
\((2)( \sqrt {5}-2)(2+ \sqrt {5})-(- \sqrt {3})^{2}+ \sqrt {8}× \dfrac {1}{ \sqrt {2}}\)．

难度：较易

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3．
计算：
\((1) \sqrt {18}-4 \sqrt { \dfrac {1}{2}}+ \sqrt {2}\)
\((2) \sqrt {8}+2 \sqrt {3}-( \sqrt {27}- \sqrt {2})\)
\((3)(2 \sqrt {3}+ \sqrt {6})(2 \sqrt {3}- \sqrt {6})\)；
\((4) \dfrac {2}{ \sqrt {3}-1}+ \sqrt {27}-( \sqrt {3}-1)^{0}\)．

难度：较易

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4．
计算：
\((1)5 \sqrt {12}-9 \sqrt { \dfrac {1}{3}}+ \dfrac {1}{2} \sqrt {48}\)
\((2) \sqrt {2}× \sqrt {32}+( \sqrt {2}-1)^{2}\)．

难度：较易

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5．
计算：\((5 \sqrt {48}-6 \sqrt {27}+4 \sqrt {15})÷ \sqrt {3}\)．

难度：较易

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6．
化简：\( \sqrt {2a^{3}}⋅ \sqrt {8a}- \sqrt {25a^{2}}(a\geqslant 0)\)

难度：较易

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7．
计算或化简
\((1) \sqrt {6}- \sqrt { \dfrac {3}{2}}- \sqrt { \dfrac {2}{3}}\)
\((2)( \sqrt {xy^{2}}- \sqrt {x^{2}y})÷ \sqrt {xy}\)
\((3)( \sqrt {5}- \sqrt {3}+ \sqrt {2})( \sqrt {5}- \sqrt {3}- \sqrt {2})\)

难度：较易

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8．
计算：
\((1) \sqrt {(-2)^{2}}+ \sqrt {18}÷ \sqrt {2}\)
\((2)(3+ \sqrt {2})(3- \sqrt {2})+(1+ \sqrt {2})^{2}\)．

难度：较易

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9．
计算
\((1) \sqrt {18a}⋅ \sqrt {2a}(a\geqslant 0)\)
\((2) \sqrt {4 \dfrac {1}{2}}÷ \sqrt {2 \dfrac {1}{4}}\)
\((3) \sqrt {12}+ \sqrt {18}- \sqrt {8}- \sqrt {32}\)
\((4)(3+ \sqrt {10})( \sqrt {2}- \sqrt {5})\)

难度：较易

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10．
计算
\((1) \sqrt {18}-4 \sqrt { \dfrac {1}{2}}+ \sqrt {24}÷ \sqrt {3}\)
\((2)(1- \sqrt {5})(1+ \sqrt {5})+(1+ \sqrt {5})^{2}\)．

难度：较易

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