新高考數(shù)學(xué)一輪復(fù)習(xí)精講精練6.5 二項(xiàng)式定理（基礎(chǔ)版）（原卷版）

6.5二項(xiàng)式定理（精講）（基礎(chǔ)版）思維導(dǎo)圖思維導(dǎo)圖考點(diǎn)呈現(xiàn)考點(diǎn)呈現(xiàn)例題剖析例題剖析考點(diǎn)一指定項(xiàng)系數(shù)【例1-1】（2022·全國(guó)·高三專題練習(xí)（理））SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)為（

）A．10 B．20 C．40 D．80【例1-2】（2022·廣東惠州·高三階段練習(xí)）SKIPIF1<0展開(kāi)式中的常數(shù)項(xiàng)為（

）A．480 B．SKIPIF1<0 C．240 D．260【例1-3】（2022·湖北武漢·高三開(kāi)學(xué)考試）若二項(xiàng)式SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)是84，則實(shí)數(shù)SKIPIF1<0（

）A．2 B．SKIPIF1<0 C．1 D．SKIPIF1<0【例1-4】（2022·江蘇無(wú)錫·模擬預(yù)測(cè)）二項(xiàng)式SKIPIF1<0的展開(kāi)式中，含SKIPIF1<0項(xiàng)的二項(xiàng)式系數(shù)為（

）A．84 B．56 C．35 D．21【例1-5】（2022·廣西·南寧二中高三階段練習(xí)（理））二項(xiàng)式SKIPIF1<0展開(kāi)式中，有理項(xiàng)共有（

）項(xiàng)．A．3 B．4 C．5 D．7【一隅三反】1．（2022·北京昌平·高三期末）在SKIPIF1<0的展開(kāi)式中，SKIPIF1<0的系數(shù)為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國(guó)·高三專題練習(xí)）若SKIPIF1<0，則SKIPIF1<0（

）A．-448 B．-112 C．112 D．4483．（2022·陜西·寶雞中學(xué)模擬預(yù)測(cè)（理））二項(xiàng)式SKIPIF1<0的展開(kāi)式中，其中是無(wú)理項(xiàng)的項(xiàng)數(shù)共有（

）A．SKIPIF1<0項(xiàng) B．SKIPIF1<0項(xiàng) C．SKIPIF1<0項(xiàng) D．SKIPIF1<0項(xiàng)4．（2022·廣東·高三階段練習(xí)）SKIPIF1<0的展開(kāi)式中，SKIPIF1<0的系數(shù)為SKIPIF1<0，則SKIPIF1<0___________．考點(diǎn)二二項(xiàng)式相乘的系數(shù)【例2】（2022·四川省瀘縣第一中學(xué)）SKIPIF1<0的展開(kāi)式中含SKIPIF1<0的項(xiàng)的系數(shù)為（

）A．10 B．15 C．20 D．25【一隅三反】1．（2022·江蘇·常州高級(jí)中學(xué)模擬預(yù)測(cè)）SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)為（

）A．SKIPIF1<0 B．25 C．SKIPIF1<0 D．52．（2022·山東·德州市教育科學(xué)研究院三模）SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)為（

）A．80 B．24 C．SKIPIF1<0 D．SKIPIF1<03．（2022·天津河西·三模）SKIPIF1<0的展開(kāi)式中，SKIPIF1<0的系數(shù)是__________.考點(diǎn)三三項(xiàng)式的系數(shù)【例3-1】（2022·江蘇泰州·模擬預(yù)測(cè)）SKIPIF1<0的展開(kāi)式中，SKIPIF1<0項(xiàng)的系數(shù)為（

）A．400 B．480 C．720 D．800【例3-2】（2022·全國(guó)·高三專題練習(xí)）若SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)為35，則正數(shù)SKIPIF1<0（

）A．SKIPIF1<0 B．2 C．SKIPIF1<0 D．4【一隅三反】1．（2022·全國(guó)·模擬預(yù)測(cè)）SKIPIF1<0的展開(kāi)式中，SKIPIF1<0的系數(shù)為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國(guó)·高三專題練習(xí)（理））SKIPIF1<0的展開(kāi)式中，含SKIPIF1<0項(xiàng)的系數(shù)為_(kāi)_____.3．（2022·陜西·寶雞中學(xué)模擬預(yù)測(cè)（理））SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)是___________（用數(shù)字作答）考點(diǎn)四系數(shù)和【例4】（2022·全國(guó)·高三專題練習(xí)）已知SKIPIF1<0，求：（1）SKIPIF1<0；（2）SKIPIF1<0；（3）SKIPIF1<0；（4）SKIPIF1<0.【一隅三反】1．（2022·全國(guó)·高三專題練習(xí)）在(2x－3y)10的展開(kāi)式中，求：(1)二項(xiàng)式系數(shù)的和；(2)各項(xiàng)系數(shù)的和；(3)奇數(shù)項(xiàng)的二項(xiàng)式系數(shù)和與偶數(shù)項(xiàng)的二項(xiàng)式系數(shù)和；(4)奇數(shù)項(xiàng)系數(shù)和與偶數(shù)項(xiàng)系數(shù)和.2．（2022·全國(guó)·高三專題練習(xí)）在SKIPIF1<0的展開(kāi)式中，求：（1）二項(xiàng)式系數(shù)的和；（2）各項(xiàng)系數(shù)的和；（3）奇數(shù)項(xiàng)的二項(xiàng)式系數(shù)和與偶數(shù)項(xiàng)的二項(xiàng)式系數(shù)和；（4）奇數(shù)項(xiàng)系數(shù)和與偶數(shù)項(xiàng)系數(shù)和；（5）SKIPIF1<0的奇次項(xiàng)系數(shù)和與SKIPIF1<0的偶次項(xiàng)系數(shù)和.6.5二項(xiàng)式定理（精練）（基礎(chǔ)版）題組一指定項(xiàng)系數(shù)1．（2022·全國(guó)·高三專題練習(xí)）在SKIPIF1<0的展開(kāi)式中，含SKIPIF1<0項(xiàng)的系數(shù)為（

）題組一指定項(xiàng)系數(shù)A．160 B．192 C．184 D．1862．（2022·全國(guó)·高三專題練習(xí)）若SKIPIF1<0SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·陜西·武功縣普集高級(jí)中學(xué)高三階段練習(xí)（理））SKIPIF1<0的常數(shù)項(xiàng)的二項(xiàng)式系數(shù)為（

）A．375 B．-375 C．15 D．-154．（2022·新疆·三模（理））若SKIPIF1<0，則SKIPIF1<0（

）A．270 B．135 C．SKIPIF1<0135 D．SKIPIF1<02705．（2022·江蘇·揚(yáng)州中學(xué)高三階段練習(xí)）SKIPIF1<0的展開(kāi)式中有理項(xiàng)的個(gè)數(shù)為_(kāi)____．6．（2022·上海金山·二模）SKIPIF1<0的二項(xiàng)展開(kāi)式中SKIPIF1<0項(xiàng)的系數(shù)為_(kāi)_________.（結(jié)果用數(shù)字作答）7．（2022·湖北·天門市教育科學(xué)研究院模擬預(yù)測(cè)）SKIPIF1<0的展開(kāi)式中的常數(shù)項(xiàng)為_(kāi)_________.8．（2022·全國(guó)·高三專題練習(xí)）在SKIPIF1<0的展開(kāi)式中，常數(shù)項(xiàng)為_(kāi)_________.9．（2022·四川·樹(shù)德中學(xué)高三開(kāi)學(xué)考試（理））若二項(xiàng)式SKIPIF1<0SKIPIF1<0的展開(kāi)式中第SKIPIF1<0項(xiàng)與第SKIPIF1<0項(xiàng)的系數(shù)相同，則其常數(shù)項(xiàng)是___________.題組二題組二二項(xiàng)式因式相乘的系數(shù)1．（2022·內(nèi)蒙古呼倫貝爾·二模（理））SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)為_(kāi)__________.（用數(shù)字作答）2．（2022·江蘇·南京市第一中學(xué)高三開(kāi)學(xué)考試）SKIPIF1<0的展開(kāi)式中，SKIPIF1<0的系數(shù)為_(kāi)__________.3．（2022·四川內(nèi)江·模擬預(yù)測(cè)（理））SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)為_(kāi)_____（用數(shù)字作答）.4．（2022·廣西柳州·模擬預(yù)測(cè)（理））SKIPIF1<0展開(kāi)式中SKIPIF1<0的系數(shù)為_(kāi)__（用數(shù)字作答）．5．（2022·四川省內(nèi)江市第六中學(xué)模擬預(yù)測(cè)（理））SKIPIF1<0的展開(kāi)式中的常數(shù)項(xiàng)為_(kāi)__________.（用數(shù)字作答）6．（2022·全國(guó)·高三專題練習(xí)）SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)為_(kāi)_______________（用數(shù)字作答）．7．（2022·全國(guó)·高三專題練習(xí)）SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)是12，則實(shí)數(shù)a的值為（

）A．4 B．5 C．6 D．78．（2022·全國(guó)·高三專題練習(xí)）已知SKIPIF1<0的展開(kāi)式中所有項(xiàng)的系數(shù)和為192，則展開(kāi)式中的常數(shù)項(xiàng)為（

）A．8 B．6 C．4 D．29．（2022·全國(guó)·高三專題練習(xí)）SKIPIF1<0的展開(kāi)式中SKIPIF1<0項(xiàng)的系數(shù)為（

）A．96 B．SKIPIF1<0 C．120 D．SKIPIF1<010．（2022·天津·南開(kāi)中學(xué)高三階段練習(xí)）SKIPIF1<0的展開(kāi)式中SKIPIF1<0的系數(shù)為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0題組三題組三三項(xiàng)式系數(shù)1．（2022·全國(guó)·高三專題練習(xí)（理））SKIPIF1<0的展開(kāi)式中，SKIPIF1<0的系數(shù)是__________．2．（2022·江蘇淮安·模擬預(yù)測(cè)）SKIPIF1<0的展開(kāi)式的常數(shù)項(xiàng)是___________．3．（2022·湖北·襄陽(yáng)五中模擬預(yù)測(cè)）在SKIPIF1<0的展開(kāi)式中，SKIPIF1<0項(xiàng)的系數(shù)為_(kāi)_．4．（2022·全國(guó)·高三專題練習(xí)）SKIPIF1<0的展開(kāi)式中常數(shù)項(xiàng)為5．（2022·浙江·模擬預(yù)測(cè)）在SKIPIF1<0的展開(kāi)式中含SKIPIF1<0和含SKIPIF1<0的項(xiàng)的系數(shù)之和為6．（2022·全國(guó)·高三專題練習(xí)）SKIPIF1<0的展開(kāi)式中的常數(shù)項(xiàng)為7．（2022·安徽·合肥市第八中學(xué)模擬預(yù)測(cè)（理））在SKIPIF1<0的二項(xiàng)