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圓錐曲線是高考考查的重點(diǎn)內(nèi)容之一,也是發(fā)展同學(xué)們直觀想象、數(shù)學(xué)運(yùn)算和邏輯推理等核心素養(yǎng)的重要載體。由于每年高考試題考查全面、運(yùn)算量大、綜合性強(qiáng),許多同學(xué)感覺方法活、運(yùn)算多、難度大,從而心生畏懼。同學(xué)們?cè)谇蠼鈭A錐曲線問(wèn)題時(shí)需注意:探討經(jīng)典,巧用結(jié)論;幾何觀察,代數(shù)運(yùn)算;特殊探路,巧求一般;設(shè)而不求,同構(gòu)換元;多思少算,優(yōu)化運(yùn)算;分類歸納,觸類旁通。下面舉例說(shuō)明這些方法在求解具體問(wèn)題時(shí)的應(yīng)用。