1. 【Opening with tributes】 to jazz-age divas like Bessie Smith and closing with Koko Taylor's electrified gravel-and-thunder songs, the program will trace the blue'vigorous matriarchal line over more than 50 years.
(A) the program will trace
(B) the program 【shall】 trace
(C) there will be a program tracing
(D) it is a program that traces
(E) it will be a program tracing
解析：【Opening with tributes】分词放在句首，则其逻辑主语为后句的program
[ 排除C D E ]
【shall】1、更多用于第一人称;
2、“13点”中的第七点。
2. 【Spanning more than fifty years】 , Friedrich Muller began his career in an unpromising apprenticeship as a Sanskrit scholar and culminated in virtually every honor that European governments and learned societies could bestow.
(A) Muller began his career in an unpromising apprenticeship as
(B) Muller’s career began in an unpromising apprenticeship as
(C) Muller’s career began with the unpromising apprenticeship 【of being】
(D) Muller had begun his career with the unpromising apprenticeship of being
(E) 【the career of Muller】 has begun with an unpromising apprenticeship of
解析：【Spanning more than fifty years】其主语为Friedrich Muller，逻辑主语不一致。
[ 排除A D ]
【of being】没有C选项的as简洁
【the career of Muller】带回原句，搭配不当： 人名被拆成了两半。
3. 【By installing special electric pumps】 , farmers' houses could be heated by the warmth from cows' milk, according to one agricultural engineer.
(A) farmers' houses could be heated by the warmth from cows' milk, according to one agricultural engineer.
(B) the warmth from cows' milk could be used by farmers to heat their houses, according to one agricultural engineer
(C) one agricultural engineer reports that farmers could use the warmth from cows' milk to heat their houses
(D) 【farmers, according to one agricultural engineer, could use the warmth from cows' milk to heat their houses】
(E) one agricultural engineer reports that farmers' houses could be heated by the warmth from cows' milk
解析：【By installing special electric pumps】逻辑主语不一致：应该是人去安装，而不是农民的房子去安装。[ 排除A B ]
【farmers, according to one agricultural engineer, could use the warmth from cows' milk to heat their houses】农民，通过农业工程师的报道，安装了特殊电棒可以…。相比之下，C有歧义。
4. 【Eaten 】 in the Mediterranean countries, northern Europeans viewed the tomato with suspicion,for they 【assumed 】 it had poisonous properties because of its relationship to deadly nightshade.
(A) northern Europeans viewed the tomato with suspicion ,for they
(B) northern Europeans were suspicious to northern Europeans ,and they
(C) the tomato was viewed with suspicion by northern Europeans ,who
(D) the tomato 【was suspicious to northern Europeans ,and it was】
(E) the tomato was viewed with suspicion by northern Europeans , 【it being】
解析：【Eaten 】northern Europeans eaten → 欧洲人被吃，显然逻辑主语有误。[排除A B]
【assumed 】 之后省略了that
【was suspicious to northern Europeans ,and it was】be suspicious to解释不通，且it was这样的表达极为啰嗦。
【it being】“being + down”属于累赘表达。没有C中的who表达简洁。
5. 【Believed】 to originate from a small area on their foreheads, elephants emit low-frequency sounds that may be used as a "secret language" to communicate with other members of the herd.
(A) Believed to originate from a small area on their foreheads, elephants emit low-frequency sounds that may be used
(B) Elephants emit low-frequency sounds that are believed to originate from a small area on their foreheads, and they may use 【this 】
(C) Elephants emit low-frequency sounds, believed to originate from a small area on their foreheads, that they may use
(D) Originating, it is believed ,from a small area on their foreheads; elephants emit low-frequency sounds they may use
(E) Originating, it is believed, from a small area on their foreheads, low-frequency sounds are emitted by elephants that may be used
【Believed】大项被认为是起源于它们前额上的一小块地方。
【this 】指代有问题：
在this之前唯一的单数名词是a small area，原句中还有low-frequency sounds，因此that不能单独指代。
答案：1.A 2.B 3.D 4.C 5.C