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1、單擊此處編輯母版標(biāo)題樣式,單擊此處編輯母版文本樣式,二級(jí),三級(jí),四級(jí),五級(jí),2022/11/28 Monday,#,切線問(wèn)題,知識(shí)點(diǎn),題號(hào),分值,單切線問(wèn)題,2020,全國(guó),卷,/21,12,分(,5,分),2022,全國(guó),卷,/10,5,分,2022,全國(guó),卷,/11,5,分,多切線問(wèn)題,2021,全國(guó),卷,/7,5,分,2022,全國(guó),卷,/15,5,分,公切線,2022,全國(guó),卷,/14,5,分,切線放縮,2022,全國(guó),卷,/7,5,分,單切線問(wèn)題,01,多切線問(wèn)題,02,公切線問(wèn)題,03,切線不等式,04,一、單切線問(wèn)題,一、單切線問(wèn)題,反思感悟:在求切線方程時(shí),常會(huì)出現(xiàn)以下兩類(lèi)問(wèn)題
2、:,(一)曲線,在點(diǎn),處的切線,這類(lèi)問(wèn)題表明點(diǎn),是切點(diǎn),切線方程為:,(二)曲線,過(guò)點(diǎn),處的切線,這類(lèi)問(wèn)題表明點(diǎn),不是切點(diǎn),需設(shè)切點(diǎn)為,解方程組,,得切點(diǎn),,進(jìn)而確定切線方程,.,二、多切線問(wèn)題,二、多切線問(wèn)題,超鏈接,二、多切線問(wèn)題,函數(shù)零點(diǎn)(根個(gè)數(shù))問(wèn)題,等價(jià)轉(zhuǎn)換,切線條數(shù),二、多切線問(wèn)題,二、多切線問(wèn)題,二、多切線問(wèn)題,(,1,)當(dāng)定點(diǎn),P,在中心,N,或,和,區(qū)域時(shí),過(guò)點(diǎn),P,的切線有且只有一條,(,2,)當(dāng)定點(diǎn),P,在曲線上或切線上(除,N,點(diǎn)),過(guò)點(diǎn),P,的切線有兩條,(,3,)當(dāng)定點(diǎn),P,在,和,區(qū)域時(shí),過(guò)點(diǎn),P,的切線有三條,二、多切線問(wèn)題,二、多切線問(wèn)題,超鏈接,二、多切線問(wèn)題,反思與感悟:,函數(shù)定,點(diǎn)運(yùn)動(dòng),函數(shù)動(dòng),點(diǎn)固定,優(yōu)選圖像直觀,優(yōu)選代數(shù)運(yùn)算,圖像直觀、代數(shù)運(yùn)算,三、公切線問(wèn)題,三、公切線問(wèn)題,三、公切線問(wèn)題,三、公切線問(wèn)題,反思與感悟:,(,1,)圖形角度,(,2,)代數(shù)角度:,分別設(shè)出兩切點(diǎn);,分別,寫(xiě)出兩條切線方程;,兩切線方程表示同一條直線,對(duì)應(yīng)相等找關(guān)系。,四、切線不等式,