新高考數(shù)學(xué)二輪考點培優(yōu)專題（精講+精練）12 ω的值和取值范圍問題（原卷版）

培優(yōu)專題12ω的值和取值范圍問題（精講+精練）一、知識點梳理一、知識點梳理一、與對稱性有關(guān)(1)y＝Asin(ωx＋φ)相鄰兩條對稱軸之間的距離是SKIPIF1<0；(2)y＝Asin(ωx＋φ)相鄰兩個對稱中心的距離是SKIPIF1<0；(3)y＝Asin(ωx＋φ)相鄰兩條對稱軸與對稱中心距離SKIPIF1<0；二、與單調(diào)性有關(guān)三、與零點和極值點有關(guān)對于區(qū)間長度為定值的動區(qū)間，若區(qū)間上至少含有k個零點，需要確定含有k個零點的區(qū)間長度，一般和周期相關(guān)，若在在區(qū)間至多含有k個零點，需要確定包含k+1個零點的區(qū)間長度的最小值，極值點的處理方法也是類似的.二、題型精講精練二、題型精講精練【典例1】若存在實數(shù)SKIPIF1<0，使得函數(shù)SKIPIF1<0(SKIPIF1<0>0)的圖象的一個對稱中心為(SKIPIF1<0，0)，則ω的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【典例2】已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減，則正實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【典例3】已知函數(shù)SKIPIF1<0在SKIPIF1<0上恰有2個不同的零點，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【題型訓(xùn)練1-刷真題】一、填空題2．已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0有且僅有3個零點，則SKIPIF1<0的取值范圍是________．二、單選題1．設(shè)函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0恰有三個極值點、兩個零點，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【題型訓(xùn)練2-刷模擬】1.與對稱性有關(guān)一、單選題1．將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個單位長度得到曲線SKIPIF1<0，若SKIPIF1<0關(guān)于點SKIPIF1<0對稱，則SKIPIF1<0的最小值是（

）A．3 B．6 C．9 D．122．已知函數(shù)SKIPIF1<0，若SKIPIF1<0在區(qū)間SKIPIF1<0是單調(diào)函數(shù)，且SKIPIF1<0，則SKIPIF1<0的值為（

）．A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<0或23．記函數(shù)SKIPIF1<0SKIPIF1<0的最小正周期為SKIPIF1<0，若SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0，若對于任意實數(shù)x，都有SKIPIF1<0，則SKIPIF1<0的最小值為（

）A．2 B．SKIPIF1<0 C．4 D．85．設(shè)函數(shù)SKIPIF1<0，其圖象的一條對稱軸在區(qū)間SKIPIF1<0內(nèi)，且SKIPIF1<0的最小正周期大于SKIPIF1<0，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．若存在唯一的實數(shù)SKIPIF1<0，使得曲線SKIPIF1<0關(guān)于直線SKIPIF1<0對稱，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知函數(shù)SKIPIF1<0，（SKIPIF1<0）的圖象在區(qū)間SKIPIF1<0內(nèi)至多存在3條對稱軸，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知函數(shù)SKIPIF1<0在區(qū)間[0，SKIPIF1<0]上有且僅有3條對稱軸，則SKIPIF1<0的取值范圍是（

）A．（SKIPIF1<0，SKIPIF1<0] B．（SKIPIF1<0，SKIPIF1<0] C．[SKIPIF1<0，SKIPIF1<0） D．[SKIPIF1<0，SKIPIF1<0）9．已知函數(shù)SKIPIF1<0的最小正周期為T，若SKIPIF1<0，且函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對稱，則SKIPIF1<0的最小值為（

）A．3 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．已知函數(shù)SKIPIF1<0，若SKIPIF1<0使得SKIPIF1<0的圖象在點SKIPIF1<0處的切線與SKIPIF1<0軸平行，則SKIPIF1<0的最小值是（

）A．SKIPIF1<0 B．1 C．SKIPIF1<0 D．211．已知函數(shù)SKIPIF1<0是偶函數(shù)，且SKIPIF1<0在SKIPIF1<0上單調(diào)，則SKIPIF1<0的最大值為（

）A．1 B．3 C．5 D．SKIPIF1<02.與單調(diào)性有關(guān)一、單選題1．將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個單位長度后得到函數(shù)SKIPIF1<0的圖象，若SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0的最大值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．12．將函數(shù)SKIPIF1<0圖象向左平移SKIPIF1<0后，得到SKIPIF1<0的圖象，若函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0的最小正周期為SKIPIF1<0，且當SKIPIF1<0時，函數(shù)SKIPIF1<0取最小值，若函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減，則a的最小值是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．已知函數(shù)SKIPIF1<0是區(qū)間SKIPIF1<0上的增函數(shù)，則正實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．若函數(shù)SKIPIF1<0是區(qū)間SKIPIF1<0上的減函數(shù)，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知SKIPIF1<0，函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，且在區(qū)間SKIPIF1<0上只取得一次最大值，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上不單調(diào)，則SKIPIF1<0的最小正整數(shù)值為（

）A．1 B．2 C．3 D．410．已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，若存在唯一的實數(shù)SKIPIF1<0，使得SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．函數(shù)SKIPIF1<0恒有SKIPIF1<0，且SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<012．已知函數(shù)SKIPIF1<0是偶函數(shù)，且SKIPIF1<0在SKIPIF1<0上單調(diào)，則SKIPIF1<0的最大值為（

）A．1 B．3 C．5 D．SKIPIF1<013．已知函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，且當SKIPIF1<0時，SKIPIF1<0恒成立，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03.與零點、極值點有關(guān)一、單選題1．已知函數(shù)SKIPIF1<0，SKIPIF1<0是SKIPIF1<0的一個極值點，則SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．1 C．2 D．SKIPIF1<02．已知函數(shù)SKIPIF1<0的最小正周期為T，若SKIPIF1<0，且SKIPIF1<0是SKIPIF1<0的一個極值點，則SKIPIF1<0（

）A．SKIPIF1<0 B．2 C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0SKIPIF1<0在SKIPIF1<0上有3個極值點，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0在SKIPIF1<0上存在零點，且在SKIPIF1<0上單調(diào)，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上恰有唯一極值點，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．已知函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)恰有4個極值點和3個零點，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．設(shè)函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)恰有三個極值點、兩個零點，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<08．已知函數(shù)SKIPIF1<0在SKIPIF1<0有且僅有兩個零點，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．記函數(shù)SKIPIF1<0的最小正周期為SKIPIF1<0，且SKIPIF1<0，若SKIPIF1<0在SKIPIF1<0上恰有3個零點，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0