(1)$(2023·$新疆中考$)(-1)^3 + \sqrt{4} - (2 - \sqrt{2})^0$
(2)$(2025·$新疆中考$)(-2)^2 + |-1| - \sqrt{4} + (-\dfrac{1}{2})^0$
(2)$(2025·$新疆中考$)(-2)^2 + |-1| - \sqrt{4} + (-\dfrac{1}{2})^0$
答案
(1) 0
(2) 4
(2) 4
(3)(2022·新疆中考)$(-2)^2 + |-\sqrt{3}| - \sqrt{25} + (3-\sqrt{3})^0$
(4)(2024·新疆中考)$|-1| + (-3)^2 - \sqrt{16} + (\sqrt{2}+1)^0$
(4)(2024·新疆中考)$|-1| + (-3)^2 - \sqrt{16} + (\sqrt{2}+1)^0$
答案
(3) $\sqrt{3}$
(4) 7
(4) 7
2. 计算.
(1) $-1^{12} + (-4 -5) ÷ ( \frac{1}{3} )^{-2}$
(2) $(π -1)^0 + 4\sin 45° - \sqrt{8} + |-3|$
(3) $\tan 60° + |-\sqrt{3}| - (\sqrt{5} -1)^0 + ( \frac{1}{2} )^{-2}$
(4) $( \frac{1}{2} )^{-1} - \sqrt[3]{8} + |1 - \sqrt{3}| + (2 - \sqrt{3}\tan 60°)^{2027}$
(1) $-1^{12} + (-4 -5) ÷ ( \frac{1}{3} )^{-2}$
(2) $(π -1)^0 + 4\sin 45° - \sqrt{8} + |-3|$
(3) $\tan 60° + |-\sqrt{3}| - (\sqrt{5} -1)^0 + ( \frac{1}{2} )^{-2}$
(4) $( \frac{1}{2} )^{-1} - \sqrt[3]{8} + |1 - \sqrt{3}| + (2 - \sqrt{3}\tan 60°)^{2027}$
答案
(1) $-2$
(2) $4$
(3) $2\sqrt{3}+3$
(4) $\sqrt{3}-2$
(2) $4$
(3) $2\sqrt{3}+3$
(4) $\sqrt{3}-2$
3. 计算.
(1)$-1^{2026} + \sqrt{(-3)^2} + |2 - \sqrt{5}|$
(2)$\sqrt{9} - (-1)^{2027} - \sqrt[3]{27} + |1 - \sqrt{2}|$
(3)$(\frac{1}{3})^{-1} - \sqrt[3]{8} + |-\sqrt{8}| + (\sqrt{2} - 1)^0$
(4)$\sqrt{81} + \sqrt[3]{27} + \sqrt{(-2)^2} + |\sqrt{3} - 2|$
4. 计算.
(1)$6 × \sqrt{\frac{1}{9}} - \sqrt[3]{27} + (\sqrt{2})^2$
(2)$\sqrt{81} + \sqrt[3]{-27} + \sqrt{(-\frac{2}{3})^2}$
(3)$\sqrt{24} × \sqrt{\frac{3}{2}} + \sqrt{48} ÷ (\sqrt{12} - \sqrt{3})$
(4)$\sqrt{24} ÷ \sqrt{3} + \sqrt{\frac{1}{3}} × \sqrt{6} - \sqrt{32}$
(1)$-1^{2026} + \sqrt{(-3)^2} + |2 - \sqrt{5}|$
(2)$\sqrt{9} - (-1)^{2027} - \sqrt[3]{27} + |1 - \sqrt{2}|$
(3)$(\frac{1}{3})^{-1} - \sqrt[3]{8} + |-\sqrt{8}| + (\sqrt{2} - 1)^0$
(4)$\sqrt{81} + \sqrt[3]{27} + \sqrt{(-2)^2} + |\sqrt{3} - 2|$
4. 计算.
(1)$6 × \sqrt{\frac{1}{9}} - \sqrt[3]{27} + (\sqrt{2})^2$
(2)$\sqrt{81} + \sqrt[3]{-27} + \sqrt{(-\frac{2}{3})^2}$
(3)$\sqrt{24} × \sqrt{\frac{3}{2}} + \sqrt{48} ÷ (\sqrt{12} - \sqrt{3})$
(4)$\sqrt{24} ÷ \sqrt{3} + \sqrt{\frac{1}{3}} × \sqrt{6} - \sqrt{32}$
答案
3.(1) $\sqrt{5}$
3.(2) $\sqrt{2}$
3.(3) $2+2\sqrt{2}$
3.(4) $16-\sqrt{3}$
4.(1) $1$
4.(2) $6\frac{2}{3}$
4.(3) $\frac{1}{3}-\sqrt{3}$
4.(4) $-4-\frac{4}{5}\sqrt{5}$
3.(2) $\sqrt{2}$
3.(3) $2+2\sqrt{2}$
3.(4) $16-\sqrt{3}$
4.(1) $1$
4.(2) $6\frac{2}{3}$
4.(3) $\frac{1}{3}-\sqrt{3}$
4.(4) $-4-\frac{4}{5}\sqrt{5}$
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