專(zhuān)題多面體外接球問(wèn)題彭中富課件

專(zhuān)題多面體的外接球問(wèn)題重慶市第四十九中學(xué)彭中富專(zhuān)題多面體的外接球問(wèn)題1、基礎(chǔ)知識(shí)鞏固(一)球的性質(zhì)性質(zhì)1:用一個(gè)平面去截球,截面是圓面;用一個(gè)平面去截球面,截線是圓。大圓-截面過(guò)球心,半徑等于球半徑;小圓-截面不過(guò)球心、基礎(chǔ)知識(shí)鞏固2性質(zhì)2:球心和截面圓心的連線垂直于截面性質(zhì)3:球心到截面的距離d與球的半徑R及截面的半徑r下面的關(guān)系r=√R2-dR性質(zhì)2:球心和截面圓心的連線垂3(二)球體的體積與表面積4丌R3②S=4R2(三)球與多面體的接、切外接球球心到各頂點(diǎn)的距離相等(R)內(nèi)切球球心到各面的距離相等(r)(二)球體的體積與表面積4二、經(jīng)典模型:(一)漢堡模型(直棱柱和圓柱外接球問(wèn)題)題型:直三棱柱內(nèi)接于球(同時(shí)直棱柱也內(nèi)接于圓柱,棱柱的上下底面可以是任意角形)二、經(jīng)典模型:5專(zhuān)題多面體外接球問(wèn)題彭中富課件6專(zhuān)題多面體外接球問(wèn)題彭中富課件7專(zhuān)題多面體外接球問(wèn)題彭中富課件8專(zhuān)題多面體外接球問(wèn)題彭中富課件9專(zhuān)題多面體外接球問(wèn)題彭中富課件10專(zhuān)題多面體外接球問(wèn)題彭中富課件11專(zhuān)題多面體外接球問(wèn)題彭中富課件12專(zhuān)題多面體外接球問(wèn)題彭中富課件13專(zhuān)題多面體外接球問(wèn)題彭中富課件14專(zhuān)題多面體外接球問(wèn)題彭中富課件15專(zhuān)題多面體外接球問(wèn)題彭中富課件16專(zhuān)題多面體外接球問(wèn)題彭中富課件17專(zhuān)題多面體外接球問(wèn)題彭中富課件18專(zhuān)題多面體外接球問(wèn)題彭中富課件19專(zhuān)題多面體外接球問(wèn)題彭中富課件20專(zhuān)題多面體外接球問(wèn)題彭中富課件21專(zhuān)題多面體外接球問(wèn)題彭中富課件22專(zhuān)題多面體外接球問(wèn)題彭中富課件23專(zhuān)題多面體外接球問(wèn)題彭中富課件24專(zhuān)題多面體外接球問(wèn)題彭中富課件25專(zhuān)題多面體外接球問(wèn)題彭中富課件26專(zhuān)題多面體外接球問(wèn)題彭中富課件27專(zhuān)題多面體外接球問(wèn)題彭中富課件28專(zhuān)題多面體外接球問(wèn)題彭中富課件29專(zhuān)題多面體外接球問(wèn)題彭中富課件30專(zhuān)題多面體外接球問(wèn)題彭中富課件31專(zhuān)題多面體外接球問(wèn)題彭中富課件32專(zhuān)題多面體外接球問(wèn)題彭中富課件33專(zhuān)題多面體外接球問(wèn)題彭中富課件34專(zhuān)題多面體外接球問(wèn)題彭中富課件35專(zhuān)題多面體外接球問(wèn)題彭中富課件36專(zhuān)題多面體外接球問(wèn)題彭中富課件37專(zhuān)題多面體的外接球問(wèn)題重慶市第四十九中學(xué)彭中富專(zhuān)題多面體的外接球問(wèn)題38、基礎(chǔ)知識(shí)鞏固(一)球的性質(zhì)性質(zhì)1:用一個(gè)平面去截球,截面是圓面;用一個(gè)平面去截球面,截線是圓。大圓-截面過(guò)球心,半徑等于球半徑;小圓-截面不過(guò)球心、基礎(chǔ)知識(shí)鞏固39性質(zhì)2:球心和截面圓心的連線垂直于截面性質(zhì)3:球心到截面的距離d與球的半徑R及截面的半徑r下面的關(guān)系r=√R2-dR性質(zhì)2:球心和截面圓心的連線垂40(二)球體的體積與表面積4丌R3②S=4R2(三)球與多面體的接、切外接球球心到各頂點(diǎn)的距離相等(R)內(nèi)切球球心到各面的距離相等(r)(二)球體的體積與表面積41二、經(jīng)典模型:(一)漢堡模型(直棱柱和圓柱外接球問(wèn)題)題型:直三棱柱內(nèi)接于球(同時(shí)直棱柱也內(nèi)接于圓柱,棱柱的上下底面可以是任意角形)二、經(jīng)典模型:42專(zhuān)題多面體外接球問(wèn)題彭中富課件43專(zhuān)題多面體外接球問(wèn)題彭中富課件44專(zhuān)題多面體外接球問(wèn)題彭中富課件45專(zhuān)題多面體外接球問(wèn)題彭中富課件46專(zhuān)題多面體外接球問(wèn)題彭中富課件47專(zhuān)題多面體外接球問(wèn)題彭中富課件48專(zhuān)題多面體外接球問(wèn)題彭中富課件49專(zhuān)題多面體外接球問(wèn)題彭中富課件50專(zhuān)題多面體外接球問(wèn)題彭中富課件51專(zhuān)題多面體外接球問(wèn)題彭中富課件52專(zhuān)題多面體外接球問(wèn)題彭中富課件53專(zhuān)題多面體外接球問(wèn)題彭中富課件54專(zhuān)題多面體外接球問(wèn)題彭中富課件55專(zhuān)題多面體外接球問(wèn)題彭中富課件56專(zhuān)題多面體外接球問(wèn)題彭中富課件57專(zhuān)題多面體外接球問(wèn)題彭中富課件58專(zhuān)題多面體外接球問(wèn)題彭中富課件59專(zhuān)題多面體外接球問(wèn)題彭中富課件60專(zhuān)題多面體外接球問(wèn)題彭中富課件61專(zhuān)題多面體外接球問(wèn)題彭中富課件62專(zhuān)題多面體外接球問(wèn)題彭中富課件63專(zhuān)題多面體外接球問(wèn)題彭中富課件64專(zhuān)題多面體外接球問(wèn)題彭中富課件65專(zhuān)題多面體外接球問(wèn)題彭中富課件66專(zhuān)題多面體外接球問(wèn)題彭中富課件67專(zhuān)題多面體外接球問(wèn)題彭中富課件68專(zhuān)題多面體外接球問(wèn)題彭中富課件