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统考版高中数学(理)一轮复习第四章三角函数、解三角形导学案+PPT课件
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这是一份统考版高中数学(理)一轮复习第四章三角函数、解三角形导学案+PPT课件,文件包含45pptx、44pptx、41pptx、46pptx、42pptx、47pptx、432pptx、431pptx、45DOCX、44DOCX、46docx、47DOCX、41docx、42docx、43pptx、432DOCX、431DOCX、43DOCX等18份课件配套教学资源,其中PPT共360页, 欢迎下载使用。
·最新考纲·1.会用向量的数量积推导出两角差的余弦公式.2.会利用两角差的余弦公式推导出两角差的正弦、正切公式.3.会利用两角差的余弦公式推导出两角和的正弦、余弦、正切公式和二倍角的正弦、余弦、正切公式,了解它们的内在联系.4.能运用上述公式进行简单的恒等变换.
·考向预测·考情分析:两角和、差及倍角公式的正用、逆用和变形用仍将是高考考查的热点,题型仍将是选择题与填空题.学科素养:通过三角恒等变换化简、求值考查逻辑推理及数学运算的核心素养.
一、必记3个知识点1.两角和与差的正弦、余弦、正切公式
cs αcs β-sin αsin β
sin αcs β+cs αsin β
2.二倍角的正弦、余弦、正切公式
三、必练4类基础题(一)判断正误1.判断下列说法是否正确(请在括号中打“√”或“×”).(1)存在实数α,β,使等式sin (α+β)=sin α+sin β成立.( )(2)两角和与差的正弦、余弦公式中的角α,β是任意角.( )(3)存在实数α,使tan 2α=2tan α.( )
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