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数学结论的正确性必须通过逻辑证明来保证,即在前提正确的基础上,通过正确使用推理规则得出结论.演绎推理论证能力是高中数学培养的一个重要而基本的能力.不论是老课程的教学大纲还是新课程的课程标准,都要求高中数学课程要培养学生的演绎推理论证能力.在高中数学课程中,演绎推理一般体现在代数证明一些性质(比如对数运算的性质,函数的单调性、周期性、奇偶性)、公式(比如对数换底公式)和三角恒等变换(比如三角函数诱导公式、两角和与差的三角函数公式及三角恒等式等)以及几何证明(比如正弦定理、余弦
The correctness of mathematical conclusions must be guaranteed by logical proof, that is, based on the premise of correctness, the conclusion is drawn from the correct use of reasoning rules.The ability of deductive reasoning is an important and basic ability in high school mathematics development.Whether it is an old curriculum Syllabus or the curriculum standard of the new curriculum, all require the high school mathematics curriculum to cultivate students’ ability of deductive reasoning.In the high school mathematics curriculum, deductive reasoning is generally manifested in algebraic proof of some properties (such as the nature of logarithm operation, monotonic function , Periodicity, parity), formulas (such as log-in) and trigonometric identities (such as trigonometrical trigonometry, trigonometric functions and trigonometric identities for both corners and deviations, etc.) and geometric proofs Cosine